Please help as soon as possible

Please Help As Soon As Possible
Please Help As Soon As Possible

Answers

Answer 1

The exact values are:

sin(α + β) = (-6√5 - 8)/25

cos(α + β) = (4√5 - 6)/25

sin(α - β) = (-6√5 + 8)/25

tan(α - β) = (-9√5 + 45)/4

We have,

Recall the trigonometric identities:

sin(a + b) = sin(a)cos(b) + cos(a)sin(b)

cos(a + b) = cos(a)cos(b) - sin(a)sin(b)

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

cos(a - b) = cos(a)cos(b) + sin(a)sin(b)

tan(a - b) = (tan(a) - tan(b))/(1 + tan(a)tan(b))

Using these identities, we can find the exact values of the expressions given.

(a) Sin (α + β)

sin(α + β) = sin(α)cos(β) + cos(α)sin(β)

= (√5/5)(-3/5) + (2/5)(-4/5) (using the values given for sin and cos)

= -6√5/25 - 8/25

= (-6√5 - 8)/25

(b) Cos (α + β)

cos(α + β) = cos(α)cos(β) - sin(α)sin(β)

= (2/5)(-3/5) - (√5/5)(-4/5) (using the values given for sin and cos)

= -6/25 + 4√5/25

= (4√5 - 6)/25

(c) Sin (α - β)

sin(α - β) = sin(α)cos(β) - cos(α)sin(β)

= (√5/5)(-3/5) - (2/5)(-4/5) (using the values given for sin and cos)

= -6√5/25 + 8/25

= (-6√5 + 8)/25

(d) tan (α - β)

tan(α - β) = (tan(α) - tan(β))/(1 + tan(α)tan(β))

= ((√5/5) - (-4/5))/(1 + (√5/5)(-4/5)) (using the values given for sin and cos)

= (9√5/5)/(1 - 4/5√5)

= (-9√5 + 45)/4

Therefore,

The exact values are:

sin(α + β) = (-6√5 - 8)/25

cos(α + β) = (4√5 - 6)/25

sin(α - β) = (-6√5 + 8)/25

tan(α - β) = (-9√5 + 45)/4

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Related Questions

Calculator What is the area of a sector with a central angle of 40° and a radius of 16.7 ft? Use 3.14 for T and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. ft² B​

Answers

The area of the sector is approximately 9.25 ft².

We have,

The formula for the area of a sector.

A = (θ/360°) × πr²

where A is the area of the sector, θ is the central angle in degrees, and r is the radius.

Substituting the given values.

A = (40°/360°) × 3.14 × (16.7 ft)²

A = 0.1111 × 3.14 × 278.89 ft²

A = 9.2465 ft²

Rounding to the nearest hundredth.

A ≈ 9.25 ft²

Therefore,

The area of the sector is approximately 9.25 ft².

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I need an answer ASAP!!!
And also possibly an explanation on how to solve, I really don't understand this.

Answers

I think the answer is 15. Because if you do 180-165= 15 for that line

The principal would like to assemble a committee of 7 students from the 15-member student council. How many different committees can be chosen?

Answers

Answer:

6,435

Step-by-step explanation:

The number of different committees that can be chosen can be calculated using the combination formula, also known as "n choose k," which calculates the number of ways to choose k items from a set of n items without regard to the order.

In this case, the principal wants to assemble a committee of 7 students from a student council of 15 members. Therefore, the number of different committees that can be chosen is given by the formula:

C(15, 7) = 15! / (7! * (15-7)!)

Calculating this expression gives:

C(15, 7) = 15! / (7! * 8!)

Simplifying further:

C(15, 7) = (15 * 14 * 13 * 12 * 11 * 10 * 9) / (7 * 6 * 5 * 4 * 3 * 2 * 1)

C(15, 7) = 6435

Therefore, there are 6,435 different committees that can be chosen from the 15-member student council.

What is the magnitude of -10 + 24¡?

Answers

The magnitude of the complex number -10 + 24i is 26.

We have,

Complex numbers can be represented as a combination of a real number and an imaginary number, in the form a + bi, where a and b are real numbers and i is the imaginary unit, which is defined as the square root of -1.

Now,

To find the magnitude of a complex number, we take the square root of the sum of the squares of its real and imaginary parts.

For -10 + 24i, the real part is -10 and the imaginary part is 24.

So the magnitude:

| -10 + 24i | = √((-10)^2 + (24)^2) = √(100 + 576) = √676 = 26

Therefore,

The magnitude of -10 + 24i is 26.

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The point (8, −15) was reflected over an axis to (−8, −15). Which axis was it reflected over? Explain. y-axis, because the x-coordinate is the opposite y-axis, because the y-coordinate is the opposite x-axis, because the x-coordinate is the opposite x-axis, because the y-coordinate is the opposite

Answers

We can infer that the point (8, -15) was reflected over the y-axis to (-8, -15) based on the change in the x-coordinate while the y-coordinate stays the same.

The y-axis reflected the point (8, -15) over to (-8, -15).

The x-coordinate changes its sign but the y-coordinate stays the same when a point is mirrored over the y-axis.

In this instance, the y-coordinate, -15, remains constant but the x-coordinate, 8, of the original point changes to -8 in the reflected point.

This shows that the y-axis is where the reflection took place.

Imagine a coordinate plane with the x-axis running horizontally and the y-axis running vertically in order to see this.

As a vertical mirror, the y-axis reflects points on either side of it.

When a point crosses the y-axis in reflection, it effectively flips to the other side of the axis while keeping its y-coordinate.

In this case, the point (8, -15) is initially situated in the positive x-direction on the right side of the y-axis.

After reflection, it becomes (-8, -15) and appears on the left side of the y-axis in the negative x-direction.

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Answer:

The point is reflected to the Y-axis. It can be either A or B, but I mostly positive it's A.

Step-by-step explanation:

Good luck on the final module exam! I'm counting on you.

Please help with this 8-9

Answers

Answer:

8) b. 15 m²

9) c. 63.5 ft²

Step-by-step explanation:

Area of composite figure:

8) To find the area of the composite figure, we have to add the area of rectangle, area of the top triangle and the area of the below triangle.

Rectangle:

            length = 3m

            width = 2.5 m

          [tex]\boxed{\text{\bf Area of rectangle = length * width}}[/tex]

                                           = 3 * 2.5

                                           = 7.5 m²

Area of triangle:

              [tex]\boxed{\text{\bf Area of triangle =$ \dfrac{1}{2}*base*height$}}[/tex]

       Triangle1:

                    base = 3 m  ; height = 1.5 m

                   [tex]\sf Area \ of \ triangle1 = \dfrac{1}{2}*3*1.5[/tex]

                                             [tex]= 2.25 \ m^2[/tex]

       Triangle2:

               base = 3 m ; height = 2.5 + 1 = 3.5 m

               [tex]\sf Area \ of \ triangle2 = \dfrac{1}{2}*3*3.5[/tex]

                                          = 5.25 m²

Area of the figure = 7.5 + 2.25 + 5.25

                               = 15 m²

_______________________________________________________

9) To find area of the given area, add the area of rectangle1 and area of rectangle2.

      length = 5 ft ;  width =  5.5 ft

Rectangle1:

         Area of rectangle1 = 5 * 5.5

                                         = 27.5 ft²

Rectangle2:

           length = 8ft

           width = 10 - 5.5

                      = 4.5 ft²

           Area of rectangle2 = 8 * 4.5

                                           = 36 ft²

Area of the given figure = area of rectangle1 + area of rectangle2

                                       = 27.5 + 36

                                        = 63.5 ft²

What is the solution to the equation Negative 3 (h + 5) + 2 = 4 (h + 6) minus 9?

Answers

Answer:

h = -10

Step-by-step explanation:

The solution to the equation is h = -10. To solve for h, we need to isolate h on one side of the equation. We do this by adding 9 to both sides, subtract 4h from both sides, and add 5 to both sides. This gives us:

Negative 3 (h + 5) + 2 + 9 = 4 (h + 6) - 9 + 9

Negative 3h + 14 = 4h + 15

Negative 3h - 4h = 15 - 14

-7h = 1

h = -1/7

h = -10

Which word phrase can you use to represent the algebraic expression ÷ 8 ?

Answers

This phrase can be used in a variety of contexts, from simple arithmetic problems to more complex Algebraic equations and expressions.

The algebraic expression ÷ 8 can be written in a variety of ways depending on the context and the specific operation being performed. However, in general, the phrase "divided by 8" or "the quotient of x and 8" can be used to represent this expression.

For example, if we have an algebraic expression such as 24 ÷ 8, we can write it as

24 divided by 8

the quotient of 24 and 8

24/8

In each case, the idea is the same: we are dividing 24 into 8 equal parts, or finding how many groups of 8 are contained in 24.

In the context of an algebraic equation or expression, the phrase "divided by 8" is often used to indicate that the variable or expression preceding it is being divided by 8. For example:

3x ÷ 8

(2y + 5) ÷ 8

In these cases, we are dividing the value of 3x or the sum of 2y and 5 by 8. The quotient of these expressions will depend on the specific values of x and y."divided by 8" is a commonly used phrase to represent the algebraic expression ÷ 8. This phrase can be used in a variety of contexts, from simple arithmetic problems to more complex algebraic equations and expressions.

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A group decides to go white rafting on the river map of the river has a scale in which 1.5 inches represents 5 miles on the map distance between the starting point in the ending point of their trip is 12 inches. What is the actual distance from the starting point to the ending point.

Answers

The actual distance from the starting point to the ending point is 39.96 miles.

Understanding How to Scale Distance

For someone working with the map or scaled drawing, we can define the scale factor as the ratio between a distance on the drawing or map and the corresponding actual distance in the real world.

From the question,

1.5 inches on the map = 5 miles in actual distance

1 inch on the map =  x miles

Perform cross multiplication

1 inch on the map =  (5 x 1) / 1.5  = 3.33 miles/inch (scale factor)

The scale factor can then be expressed as ratio:

5/1.5 = 1:0.3

0r

5/1.5 = 10:3

So, the actual distance between the starting point and the ending point can be found by multiplying the length on the map by the scale factor:

Actual distance = Map distance x Scale factor

Actual distance = 12 inches x 3.33 miles/inch = 39.96 miles

Therefore, the actual distance from the starting point to the ending point is approximately 39.96 miles.

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A patient has been prescribed intravenous acetylcysteine for a paracetamol overdose. The initial dose has just finished and they now require 3000mg in 500ml glucose over four hours. You are asked to double check the amount of acetylcycteine that has been drawn up for addition to the glucose. If you have ampuoles comtaining 20% acetylcysteine, what volume must be drawn up to make the infusion?

please can someone help me with how to work this out? :(

Answers

For the 4-hour infusion, 1500ml of the 20% acetylcysteine solution must be made up and combined with 500ml of glucose.

To calculate the volume of acetylcysteine that needs to be added to the glucose, we can use the following formula:

The volume of acetylcysteine (in ml) = (Total amount of acetylcysteine needed in mg / Concentration of acetylcysteine in mg/ml) x 100

We have been asked to add 3000mg of acetylcysteine to 500 ml of glucose. If the concentration of the ampoule containing acetylcysteine is 20%, this means that there are 20g of acetylcysteine in 100 ml of solution, or 200mg/ml.

Using the formula above, we can calculate the volume of acetylcysteine that needs to be added as follows:

Volume of acetylcysteine = (3000mg / 200mg/ml) x 100 = 1500ml

Therefore, 1500ml of the 20% acetylcysteine solution needs to be drawn up and added to the 500ml of glucose to make the 4-hour infusion.

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Calculator What is the area of a sector with a central angle of 144° and a radius of 11 cm? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. cm² K​

Answers

Rounding to the nearest hundredth, the area is approximately 151.976 cm².

The formula for the area of a sector is:

A = (θ/360) x πr²

where θ is the central angle in degrees, r is the radius, and π is pi (3.14).

Plugging in the given values, we get:

A = (144/360) x 3.14 x 11^2

A = 0.4 x 3.14 x 121

A = 151.976

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A new pair of trainers are bought for £100. They then decrease in value by 20% each year. How much will they be worth in 2 years' time?​

Answers

Answer:

[tex]\boxed{\boxed{\sf{\:\:\:\green{£64}\:\:\:}}}[/tex]

[tex]\\[/tex]

Step-by-step explanation:

In the first year, the trainers will be worth 80% of their original value, which is:

[tex]\rm\implies{£100 \times 0.8 = £80}[/tex]

[tex]\\[/tex]

In the second year, they will be worth 80% of their value after the first year:

[tex]\rm\implies{£80 \times 0.8 = \boxed{\boxed{\sf{\:\:\:\green{£64}\:\:\:}}}}[/tex]

[tex]\\[/tex]

[tex]\\[/tex]

[tex]\therefore[/tex] The trainers will be worth £64 in 2 years' time.

Pls help me find the unknown length

Answers

Answer:

slon

7+15

AGAIN

L+B⅔

²2

AE

Please help soon need bad

Answers

The difference between the interquartile range of Matt's and Linda's remaining vacation days is 1.5.

The interquartile range will be calculated through the formula -

[tex] Q_{3}[/tex] = [tex] Q_{2}[/tex] - [tex] Q_{1}[/tex]

Firstly calculating [tex] Q_{3}[/tex] for Matt

[tex] Q_{2}[/tex] = (4+5)/2

[tex] Q_{2}[/tex] = 4.5

[tex] Q_{3}[/tex] = (8+12)/2

[tex] Q_{3}[/tex] = 10

Finding interquartile range now -

[tex] Q_{3}[/tex] = 10 - 4.5

[tex] Q_{3}[/tex] = 5.5

Now, performing calculation for Linda

[tex] Q_{2}[/tex] = (0+10)/2

[tex] Q_{2}[/tex] = 5

[tex] Q_{3}[/tex] = (11+13)/2

[tex] Q_{3}[/tex] = 12

Finding interquartile range now -

[tex] Q_{3}[/tex] = 12 - 5

[tex] Q_{3}[/tex] = 7

The difference between the interquartile range of Linda and Matt will be calculated as:

Difference = Interquartile range of Linda - Interquartile range of Matt (as we see Linda has greater interquartile range than Matt)

Difference = 7 - 5.5

Difference = 1.5

Hence, the difference between interquartile range of days is 1.5.

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Dakota measured a neighborhood park and made a scale drawing. The scale of the drawing was 1 inch : 5 yards. A soccer field in the park is 12 inches wide in the drawing. How wide is the actual field?

Answers

The actual width of the soccer field is 60 yards.

Given, the scale of the drawing is 1 inch : 5 yards.

The width of the soccer field in the drawing is 12 inches.

So, the actual width of the soccer field can be found by multiplying the width in the drawing by the scale factor:

Actual width = Width in drawing x Scale factor

The scale factor is 5 yards per inch, so we can write:

Actual width = 12 inches x 5 yards per inch

Actual width = 60 yards

Therefore, the actual width of the soccer field is 60 yards.

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Please help ASAP. I have been having trouble

Answers

Vertical Angles

---Vertical angles are congruent and can often be found where two lines intersect and make an "X" shape.

The vertical angles in this figure are XAW and UAY.

Adjacent angles that are neither complementary nor supplementary

---Adjacent angles are angles that share a line and are, as a result, next to each other.

Two adjacent angles in this figure that are neither complementary nor supplementary are XAW and ZAY.

Supplementary Angles

---Supplementary angles form a straight line, or 180 degree angle.

The supplementary angles in this figure are XAW and WAU.

Complementary Angles

---Complementary angles form a right, or 90 degree angle.

The complementary angles in this figure are XAW and XAZ.

Hope this helps!

Step-by-step explanation:

See image

WILL GIVE BRAINLIEST PLEASE HELP

Answers

The answer is 4. There are 4 corresponding angles.
4
Explanation;
Corresponding Angles are on same side for both top group and bottom group. The pairs are: 1,5 2,6 3,7 4,8.

PLEASE HELP!! Did I do this right.???

Answers

Answer: 5

Step-by-step explanation:45

On a test that has a normal distribution, a score of 30 falls three standard deviations below the mean, and a score of 60 falls three standard deviations above the mean. Determine the mean of this test.

Answers

The mean of the test is 45.

Let's use the formula for z-score:

z = (x - μ) / σ

where z is the number of standard deviations from the mean, x is the raw score, μ is the mean, and σ is the standard deviation.

For the first score of 30, we know that it falls three standard deviations below the mean:

-3 = (30 - μ) / σ

Simplifying this equation, we get:

-3σ = 30 - μ

μ = 30 + 3σ

For the second score of 60, we know that it falls three standard deviations above the mean:

3 = (60 - μ) / σ

Simplifying this equation, we get:

3σ = 60 - μ

μ = 60 - 3σ

Now we can set these two equations equal to each other, since they both equal μ:

30 + 3σ = 60 - 3σ

6σ = 30

σ = 5

Now we can plug this value of σ back into one of the equations for μ:

μ = 30 + 3σ

μ = 30 + 3(5)

μ = 45

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Select the correct answer.
What transformations are applied to the graph of the function () = 10 to produce the graph of the function g(z)
OA
OB.
OC
D.
a vertical dilation by a factor of
and a horizontal shift to the right 2 units
a vertical dilation by a factor of
and a vertical shift down 2 units
a vertical dilation by a factor of 3 and a horizontal shift to the right 2 units
a vertical dilation by a factor of 3 and a vertical shift down 2 units
3(10) - 2?

Answers

The correct statement regarding the transformations to [tex]f(x) = 10^x[/tex] to create [tex]g(x) = 3(10)^x - 2[/tex] is given as follows:

A vertical dilation by a factor of 3 and a vertical shift down 2 units

How to define the transformations?

The parent function for this problem is given as follows:

[tex]f(x) = 10^x[/tex]

The transformed function for this problem is given as follows:

[tex]g(x) = 3(10)^x - 2[/tex]

Hence the transformations are given as follows:

Vertical dilation by a factor of 3, due to the multiplication by 3.Vertical shift down 2 units, due to the subtraction by 2.

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Help! How to solve the x on logX=(log27)/(log5)
Thank you!

Answers

The solution to the given logarithmic expression is: x = 111.63

How to solve Logarithmic problems?

The logarithmic form of expression is written as [tex]log_{a} c = b[/tex]. This is simply a rearrangement of the specific exponential form, aᵇ = c. Thus, we can say that exponential equation could be written as a logarithm.

We want to solve the logarithmic expression given as:

log x = [tex]\frac{log 27}{log 5}[/tex]

log x = [tex]\frac{log 3^3}{log 5}[/tex]

log x = [tex]\frac{3 log 3}{log 5}[/tex]

log x = 2.0478

x = [tex]10^{2.0478}[/tex]

x = 111.63

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The weather table predicts the chance of rain for five days.


Day of the Week Chance of Rain
Monday 70%
Tuesday 10%
Wednesday 40%
Thursday 50%
Friday 60%

Answers

Friday has a 60% chance of rain. This indicates a relatively high Probability of rainfall, making it more likely to experience wet conditions on Friday.

The weather table provides information on the chance of rain for five consecutive days, starting from Monday to Friday. Here are the details:

Day of the Week | Chance of Rain

----------------|---------------

Monday          | 70%

Tuesday         | 10%

Wednesday    | 40%

Thursday        | 50%

Friday             | 60%

According to the table, Monday has the highest chance of rain with a probability of 70%. This indicates that there is a relatively high likelihood of rain occurring on Monday. However, it does not guarantee that it will rain, as there is still a 30% chance of a dry day.

On Tuesday, the chance of rain drops significantly to 10%. This suggests that it is highly unlikely for rain to occur on Tuesday, with a higher probability of dry weather.

Wednesday shows a moderate chance of rain at 40%. This indicates a somewhat higher possibility of precipitation compared to Tuesday but not as high as Monday.

Thursday follows with a 50% chance of rain. This suggests an even chance of rain or no rain, making it relatively uncertain.

Finally, Friday has a 60% chance of rain. This indicates a relatively high probability of rainfall, making it more likely to experience wet conditions on Friday.

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The pie below is cut into 8 equal slices. Shade 1/2 of this pie.

Answers

well, here is your pie...

Please help me with this 10-11

Answers

Answer:

10.) 152 square feet

11.) 85 degrees

Step-by-step explanation: *Feel free to ask for an explanation*

Ur answer would be A.152 sq feet for 10
And ur answe would be A.85 for 11

Fred has a great idea for a new product. However, he can only invest $11,919 to start up the company. He asks a three other
individuals to invest in his company. The other three investors bring the total investment to start the company to $285,763.
What percent of the company does the three other individuals own? Round your answer to the nearest tenth of a percent.

Answers

Answer:

He owns about 4.17% or 4% so the others own about 95.83% or 96% but sense it rounds to the nearest tenth your answer would be 95.8%

Step-by-step explanation:

You can figure this out by doing 11,919 divided by 285,763 in order to figure out the percentage of the company he owns and then just do 100 - your answer.

Step-by-step explanation:

First, we need to find out how much money the three other individuals invested in the company. To do that, we'll subtract Fred's investment from the total investment:

Total investment = 285,763

Fred's investment = 11,919

Investment from the three other individuals = Total investment – Fred's investment

Investment from the three other individuals = 285,763 – 11,919

Investment from the three other individuals = 273,844

Now, to calculate the percentage of ownership for the three individuals, we'll divide their combined investment by the total investment and multiply by 100:

Percentage of ownership = (Investment from the three other individuals / Total investment) * 100

Percentage of ownership = (273,844 / 285,763) * 100

Percentage of ownership ≈ 95.8%

So, the three other individuals own approximately 95.8% of the company. Since the question asks to round to the nearest tenth, the answer is 95.8%.

please hurry, 100 points

Answers

Answer:

a. Since blue occurs a fraction z of the time and the red and green portions have equal area, the probability of landing on green is (1 - z)/2.

b. The area diagram for spinning the spinner twice would have three sections: blue, green, and red. Each section would be divided into three smaller sections: BB, BG, BR, GB, GG, GR, RB, RG, and RR. The diagram would show all 9 possible outcomes of spinning the spinner twice.

c. The region on the area diagram corresponding to getting the same color on the spinner twice would be the diagonal line from the upper left to the lower right, going through the GG, BB, and RR sections.

d. The probability that both spins give the same color can be calculated as follows:

- The probability of getting blue on the first spin is z.

- The probability of getting green on the first spin is (1 - z)/2.

- The probability of getting red on the first spin is (1 - z)/2.

- If the first spin is blue, the probability of getting blue again on the second spin is z. The same applies to green and red.

- Therefore, the probability of getting the same color on both spins is z^2 + ((1 - z)/2)^2 + ((1 - z)/2)^2 = z^2 + (1 - z)^2/4.

e. If you know that you got the same color twice, the probability that the color was blue can be calculated using Bayes' theorem:

- Let A be the event that you got blue twice, and let B be the event that you got the same color twice.

- Then P(A|B) = P(B|A) * P(A) / P(B), where P(A) = z^2, P(B|A) = 1, and P(B) = z^2 + ((1 - z)/2)^2 + ((1 - z)/2)^2 = z^2 + (1 - z)^2/4.

- Therefore, P(A|B) = z^2 / (z^2 + (1 - z)^2/4).

Step-by-step explanation:

Hope this helps

For which triangle does the Pythagorean Theorem
express the relationship between the lengths of its three
sides?
A
B
C
D

Answers

Pythagorean theorem is represented by triangle B.

Which triangle express the relationships according to Pythagorean theorem?

In this question we find four cases of triangle, of which we must determine what triangle can be explained by Pythagorean theorem. This theorem offers a relationship between the three sides of the triangle:

r² = x² + y²

Where:

x, y - Legsr - Hypotenuse.

Please notice that hypotenuse is the longest side of the triangle. Graphically speaking, there is a right triangle, that is, a triangle with one right angle. Then, triangle B express the relationship according to Pythagorean theorem.

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The table below models a particular physical situation.
X: -8, 1, 4, 10
Y: 2, -3, 1, -3
Find the piecewise linear equation that models the data above. Round to three decimal places if needed.

_____x + ____ -8 ≤ x ≤ 1
Y= _____x + ____ 1 < x ≤ 4
_____x + ____ 4 < x ≤ 10

Answers

The piecewise linear equation is y = -0.556x - 2.444, -8 ≤ x ≤ 1, y = 1.333x - 4.333, 1 < x ≤ 4 and y = -0.667x - 3.667 4 < x ≤ 10

Finding the piecewise linear equation

From the question, we have the following parameters that can be used in our computation:

X: -8, 1, 4, 10

Y: 2, -3, 1, -3

In the interval [-8, 1], we have

X: -8, 1

Y: 2, -3

A linear equation is represented as

y = mx + c

Using the points, we have

-8m + c = 2

m + c = -3

So, we have

m = -0.556

c = -2.444

So, we have

-0.556x - 2.444, -8 ≤ x ≤ 1

In the interval (1, 4], we have

X: 1, 4

Y: -3, 1

Using the points, we have

m + c = -3

4m + c = 1

So, we have

m = 1.333

c = -4.333

So, we have

1.333x - 4.333, 1 < x ≤ 4

In the interval (4, 10], we have

X: 4  10

Y: 1   -3

Using the points, we have

4m + c = 1

10m + c = -3

So, we have

m = -0.667

c = 3.667

So, we have

-0.667x - 3.667 4 < x ≤ 10

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summary of this shape help u will get 100 points I need it cry cyr ycr

Answers

The line of symmetry for the above figure is attached accordingly.

What is a line of symmetry?

In mathematics, symmetry with regard to a reflection is known as reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry.

That is, a figure with reflectional symmetry does not alter when it is reflected. A line/axis of symmetry exists in 2D, while a plane of symmetry exists in 3D.

After inserting the symmetry lines, the above resulted in a kite.

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Jim began a ​150-mile bicycle trip to build up stamina for a triathlete competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 6 hours. Of Jim walks at a rate of 4 miles per hour and rides at 40 miles per​ hour, find the amount of time he spent on the bicycle.

Answers

Answer:

Step-by-step explanation:

150 mile length. We can make an inequality for this with him riding on his bike for r and walking for w.
40r + 4w = 150

r + w = 6

Then we get

r = 7/2

w = 5/2

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