Find the size of angle x​

Answer:

[tex]y=\frac{4}{5} x+6[/tex]

Step-by-step explanation:

When doing these types of equations it is crucial that you understand slope-intercept form (y=mx+b). Based on this question, I can infer that you more than likely already know it.

What you first want to do is plug in your values given to you. your slope is given therefore you have an equation of  [tex]y=\frac{4}{5} x+b[/tex] already. Next you want to substitute in your x and y value given from the coordinate that the line is passing through so that you get the new equation [tex](2)=4/5(-5)+b[/tex]. Now we want to distribute and get [tex]2=-4+b[/tex].

The main point you want to realize is that we are given everything except the y-intercept (b) which is what we're trying to solve for. We now want to isolate b by adding 4 on both sides to eventually get [tex]6=b[/tex] or [tex]b=6[/tex]. We now simply go back into slope-intercept form with only the value of b and m present which will look like [tex]y=\frac{4}{5} x+6[/tex]

a) The average selling price in Bloomington is $301,596.27.

b) The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively.

c) There are 98 houses made primarily of brick and 102 not.

d) There is a positive moderate relationship between selling price and square footage of houses in Bloomington.

e) On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

The descriptive analysis in Bloomington has given the following insights: The average selling price in Bloomington is $301,596.27. The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively. There are 98 houses made primarily of brick and 102 not. There is a positive moderate relationship between selling price and square footage of houses in Bloomington. On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

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Answer:

475 hours

Step-by-step explanation:

Answer:

y=12.50x

Step by step explantion:

Answer:

5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Since we are already given half the equation and a table of values, we just need to find y-intercept b:

Simply plug in a coordinate into the equation to find it.

y = 6x + b

17 = 6(2) + b

17 = 12 + b

b = 5

y = 6x + 5

Answer:

5s + 12b <2700b

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

it suppose to be -2 if you equate it to Zero

Answer:

The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. The first term of the ratio is measured in cents; the second term in ounces. You can write this rate as 69¢/12 ounces or 69¢:12 ounces.

Answer:

x=19

Step-by-step explanation:

a

(9x-76)=5x and solve for algebric equation

Answer:

$20,210.98

Step-by-step explanation:

To calculate the amount Karen should deposit today, we can use the formula for compound interest:

A = P (1 + r/n)^(nt)

where A is the amount of money in the account after t years, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, we want to find the value of P that will give us A = $26,689 in t = 6 years, with an annual interest rate of r = 0.024 (2.4% as a decimal) and monthly compounding, which means n = 12.

So we can plug in these values into the formula and solve for P:

P = A / (1 + r/n)^(nt)

P = 26689 / (1 + 0.024/12)^(12*6)

P = $20,210.98

So, the answer is $20,210.98

Answer:

Angle bisector

Step-by-step explanation:

The figure is clearly evidence of an angle bisector.

An angle bisector is a line that splits an angle into two equal parts.

Answer:

w=77° (Alternate Interior Angle)

x=180°-77° (Straight Line)

= 103°

z=42° (A.I.A)

z=180°-42°

= 138°

Remember, these lines are actually parallel so you can apply the rules

Answer:

D)45 and 45

Step-by-step explanation:

Isosceles right triangle is a triangle with one 90 degree angle and two equal sides and angles, meaning two 45 degree angles

Answer:

in the first equation f(2)=6 is f=3

In second place the answer of that equation is f=1/3

Answer:

A

Step-by-step explanation:

Using the standard form of the parabola , y = ax² + bx + c ( a ≠ 0 )

Substitute the given points into the equation and solve for a, b, c using simultaneous equations.

(- 5, 10 )

- 10 = a(- 5)² - 5b + c, that is

25a - 5b + c = - 10 → (1)

(- 3, 2 )

2 = a(- 3)² - 3b + c, that is

9a - 3b + c = 2 → (2)

(2, - 3 )

- 3 = a(2)² + 2b + c , that is

4a + 2b + c = - 3 → (3)

Eliminate c from the equations

Subtract (2) from (1) term by term

16a - 2b = - 12 → (4)

Subtract (3) from (2) term by term

5a - 5b = 5 → (5)

Multiply (4) by 5 and (5) by - 2 then add to eliminate b

80a - 10b = - 60 → (6)

- 10a + 10b = - 10 → (7)

Add (6) and (7) term by term

70a = - 70 ( divide both sides by 70 )

a = - 1

Substitute a = - 1 into (4) and evaluate for b

- 16 - 2b = - 12 ( add 16 to both sides )

- 2b = 4 ( divide both sides by - 2 )

b = - 2

Substitute a = - 1, b = - 2 into (3) and evaluate for c

- 4 - 4 + c = - 3

- 8 + c = - 3 ( add 8 to both sides )

c = 5

Thus a = - 1, b = - 2 and c = 5

Substitute these values into the standard parabola, that is

y = - x² - 2x + 5 → A

Here we want to find the equation of the parabola that passes through the points (-5, -10), (-3, 2), and (2, -3).

We will get, by brute force, that the correct option is A:

y = -x^2 - 2x + 5

To find the correct option we can use brute force.

We do know the options, so what we can do is just evaluate the given options in the x-values of the points, and see if we get the same y-value that the point.

We can start with option A:

A: y = -x^2 - 2x + 5

For the first point (-5, -10) we have x = -5, evaluating in this we get:

y = -(-5)^2 - 2*(-5) + 5 = -25 + 10 + 5 = -10

Now let's try with the next point (-3, 2), we have x = -3

y = -(-3)^2 - 2*(-3) + 5 = -9 + 6 + 5 = 2

Now we can try with the last point (2, -3), where x= 2

y = -(2)^2 - 2*2 + 5 = -4 - 4 + 5 = -3

So we got all the correct y-values (the second value for each point) thus we can conclude that this one is the correct option.

The correct option is A: y = -x^2 - 2x + 5

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the answer to this questiom is: b

Answer:wow cap.

Step-by-step explanation:

The answer would be -2.

Step-by-step explanation:

The line crosses through the - 2.

Answer:

y intercept would be -2

Step-by-step explanation:

y intercept means at what point first crosses the line at the y axis. \

That would be -2

Answer:

Send a picture for a full answer.

Step-by-step explanation:

Answer:

Rectangle or square

Step-by-step explanation:

Answer:

I believe the answer is x-intercept

Step-by-step explanation:

Answer:

3,2

No explantation needed,

The formula to determine the angle subtended by an arc is:θ = (L/r), where θ is the angle in radians, L is the length of the arc, and r is the radius of the circle.

We are given a circle with a radius of 16 meters and an arc length of 4π meters. Therefore, we can plug in the values of L and r to obtain the angle in radians:

θ = (L/r) = (4π/16) = π/4 radians

We can convert radians to degrees using the formula:

π radians = 180 degrees

Therefore, we can convert the angle in radians to degrees as follows:

θ (in degrees) = (θ in radians) × (180/π) = (π/4) × (180/π) = 45 degrees

Hence, the angle subtended by an arc of length 4π meters on a circle of radius 16 meters is π/4 radians or 45 degrees.Conclusion:Thus, the angle, in radians, is π/4 and the angle, in degrees, is 45 degrees.

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The side measures for the figure in this problem are given as follows:

6 units and 8 units.

To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:

Area = Length x Width.

The dimensions for this problem are given as follows:

x + 3 and x + 5.

As the area is of 48 square units, we have that:

(x + 3)(x + 5) = 48

x² + 8x + 15 = 48

x² + 8x - 33 = 0.

The coefficients are given as follows:

a = 1, b = 8, c = -33.

Using a quadratic function calculator, the positive root is given as follows:

x = 3.

Hence the dimensions are:

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Answer:

b

Step-by-step explanation:

at the left hand side the coefficient is 3

The angle through which the particle rotates in radians is 1.67 radians, while the angle in degrees is 605° (rounded to the nearest degree).

A particle moves in a circle of radius 1.50 m. If it moves through an arc length of 2.50 m, we are to determine the angle through which it rotates in radians and in degrees.

Let the angle through which it rotates be denoted as θ, and the radius of the circle be denoted as r, thus, we can write:

L = rθ

where L is the length of the arc. We are to determine θ if r = 1.50 m and L = 2.50 m.

Substituting L = 2.50 m and r = 1.50 m into L = rθ, we have: 2.50 m = 1.50 mθ

Dividing both sides by 1.50 m, we obtain:

θ = 2.50 m / 1.50 m = 1.67 radians

The angle through which the particle rotates in radians is 1.67 radians, while the angle in degrees is 605° (rounded to the nearest degree).

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Answer:

1 1/7 or 1.14285714286

Step-by-step explanation:

I hope this helped!

4/35 x 10 in the simplest form = 8/7

A fraction is in the simplest form if the top and bottom have no common factors other than 1.

Given that 4/35 x 10 = 8/7

Hence, the value of the expression 4/35 x 10 = 8/7

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Answer:

That doesn't make sense, it's wrong.  t=60 because 45+15=60

Step-by-step explanation:

Answer:

y=2x-2

Slope = 4.000/2.000 = 2.000

x-intercept = 2/2 = 1

y-intercept = -2/1 = -2.00000

y=3x-7

Slope = 6.000/2.000 = 3.000

x-intercept = 7/3 = 2.33333

y-intercept = -7/1 = -7.00000

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Answer:

(x,y)=(5,8)

y=8

x=5

Step-by-step explanation:

Method 1 ; Substitution Method

[tex]\begin{bmatrix}y=2x-2\\ y=3x-7\end{bmatrix}\\\\\mathrm{Subsititute\:}y=3x-7\\\\\begin{bmatrix}3x-7=2x-2\end{bmatrix}\\\\Isolate\:x \:for\:3x -7=2x-2\:\:,x=5\\\\\mathrm{For\:}y=3x-7\\\\\mathrm{Subsititute\:}x=5\\\\y=3\times\:5-7\\\\Simplify\\\\y=8\\\\y=8,\:x=5[/tex]

Method 2 : Elimination Method

[tex]\begin{bmatrix}y=2x-2\\ y=3x-7\end{bmatrix}\\\\\mathrm{Arrange\:equation\:variables\:for\:elimination}\\\\\begin{bmatrix}y-2x=-2\\ y-3x=-7\end{bmatrix}\\\\y-3x=-7\\-\\\underline{y-2x=-2}\\-x=-5\\\\\begin{bmatrix}y-2x=-2\\ -x=-5\end{bmatrix}\\\\Solve\:-x=-5\:for\:x \:,x =5\\\\\mathrm{For\:}y-2x=-2\mathrm{\:plug\:in\:}x=5\\\\Solve \:y-2\times 5 =-2\:for\:y\:\: ,y =8\\\\y=8,\:x=5[/tex]

Method 3 : Gaussian's Elimination

[tex]\begin{bmatrix}y=2x-2\\ y=3x-7\end{bmatrix}\\\\\mathrm{Arrange\:equation\:variables\:for\:elimination}\\\\\begin{bmatrix}y-2x=-2\\ y-3x=-7\end{bmatrix}\\\\\mathrm{Write\:a\:matrix\:with\:the\:coefficients\:and\:solutions}\\\\\begin{bmatrix}1&-2&¦&-2\\ 1&-3&¦&-7\end{bmatrix}\\\\Reduce \:matrix\:to\:echelon\:form\\\\\begin{bmatrix}1&0&¦&8\\ 0&1&¦&5\end{bmatrix}\\\\y=8,\:x=5[/tex]

Answer:

x = 2

Step-by-step explanation:

Step 1: Write equation

x³ + 2 = 10

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

2³ + 2 = 10

8 + 2 = 10

10 = 10

Answer:

2

Step-by-step explanation:

X³+2=10

-2 -2

X³=8

X=2

What number can be multiplied by itself 3 times that makes 8?

2×2=4×2=8