simply (4x-6)-(5x+1)

The equation that represents the linear relationship between each x- and y-coordinate is: y = x - 2.

For a linear relationship between x and y coordinate, an equation in slope-intercept form that can be created is expressed as y = mx + b.

Find the slope (m) using any two pairs of values, (1, 0) and (3, 2):

Slope (m) = (2 - 0)/(3 - 1)

Slope (m) = 2/2

Slope (m) = 1

Find the y-intercept by substituting m = 1 and (x, y) = (1, 0) into y = mx + b:

0 = 1(1) + b

0 = 2 + b

-2 = b

b = -2

Write the equation of the relation by substituting m = 1 and b = -2 into y = mx + b:

y = x - 2

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The relationship Mandy made with coordinate points is y = x - 1.

an x-y coordinate is a 2D plane in which we can plot points of x and y together to make a coordinate. We can graph lines or any 2D figure using x-y coordinates.

We determine the relationship between x and y we'll go with the

hit-and-trial method.

At x = 1, y = 0.

At x = 11 , y = 10.

We can observe that y is one less than x, this can be represented as,

y = x - 1.

To cross-check out the equation can put given values of x and y and check whether it satisfies our equation or not.

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The rate at which the distance between the airplanes is changing is;

dC/dt = 320 mi/h

We are given;

The Speed of Airplane A; dA/dt = 200 mi/h

The Speed of Airplane B; dB/dt = 250 mi/h

Aircraft A and B will form a right-angled triangle because Aircraft A is flying east and Aircraft B is flying north, and we can use Pythagoras' theorem to calculate their distance from one another.

Let C be the distance.

Therefore;

C² = A² + B²

Differentiating the above equation with respect to t,

2C(dC/dt) = 2A(dA/dt) + 2B(dB/dt)

Dividing each side of the equation by 2,

C( dC/dt ) = A( dA/dt ) + B( dB/dt )

Where dC/dt is the rate of change in distance between the two aircraft.

Now,

C² = A² + B²

C = √(A² + B²)

Substituting, A = 30 miles and B = 40 miles;

C = √(30² + 40²)

C = √( 900 + 1600 )

C = √2500

C = 50 miles

Substituting the value in the equation C( dC/dt ) = A( dA/dt ) + B( dB/dt ),

50(dC/dt) = (30 × 200) + (40 × 250)

50(dC/dt) = 6000 + 10000

50 × dC/dt = 16000

dC/dt = 16000/50

dC/dt = 320 mi/h

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Answer: It is the amount they raise each week

350 is the amount they started with

Answer:

Reduction is correct

Scale factor is 0.5

Step-by-step explanation:

The distance from the point L to every point on the pink figure is 1/2 (0.5) times the distance from L to each of the corresponding points on the original figure

If scale factor < 1, it is a reduction

Answer:

$12

Step-by-step explanation:

C0-starting price

C1-price after discount

P- precentage

C1=C0-P/100*C0

C1=20-40/100*20

C1=20-8

C1=12

The value of the angle m∠2 = 67°.

Angle may be defined as the space between two lines. An angle consists of a vertex with which the angle is extended. When sum of two angles is exactly 90°, they are called complementary angles. For example, if we have two angles a and b then, ∠a + ∠b = 90°. When sum of two angles is exactly 180°, they are called supplementary angles. For example, if we have two angles a and b then, ∠a +∠b =180°. According to the given question ∠1 is a complement of ∠2 and we know when two angles are complementary to each other sum of their angles is 90°. So,

m∠1 + m∠2 = 90°

Now, m∠1 = 23°

23° + m∠2 = 90°

m∠2 = 90° - 23°

m∠2 = 67° which is required angle.

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Answer: 148.52173913

Step-by-step explanation:

Buenos Noches:)

espero que esto ayude

The number that must be added to complete the squares is 121 .

Since x² represents the area of a square with a side of length x and bˣ represents the area of a rectangle with sides b and x, the process of completing the square can be seen as a visual manipulation of rectangles.

the given expressions are x² + 22x

This can be written in the form of a square polynomial as :

x² + 2×x×11 + 11² = (x+11)²

Therefore we have to add 11² = 121 to the polynomial to complete the square.

Similarly for  x² - 2x we have to add 1 to get the form (x-1)²

And we have to add x²+ 7x + (7/2)²

Hence the number to be added is 49/4 .

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Answer: 1.7×10*4×8.5×10*-2= 1445

Step-by-step explanation:

The question must be written as follows:

1.7×10∧4×8.5×10∧-2=

(1.7×10000×8.5)÷100

=144500÷100=1445

Answer:

Midpoint=(6,−354)

Step-by-step explanation:

I solved this using the MidPoint Calculator:) Im a 7th grader.

Answer:

Step-by-step explanation: 12/3 is 4

The hiking club attracted about 30% of the students as per the given graph. which is the correct answer would be option (D).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

At Rory’s school, students must join one after-school club. Based on the data in the given graph,

According to the given graph

We can see that hiking and science clubs together attracted about 50% of students.

Here as a comparison to hiking and science clubs, we found that the hiking club is more attractive than the science club which is approximant about 30% of the students.

Therefore, the hiking club attracted about 30% of the students.

Hence, the correct answer would be an option (D).

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In the given figure, BC is the Adjacent side. This is because the side is the closest side to the angle θ.

Using Trigonometry, we can also find out the measure of the ∠θ.

tan θ = opposite side / adjacent side

⇒ tan θ = 2/8 = 1/4

⇒ θ = tan^-1 (1/4)

⇒ θ = 0.245°

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Answer:

600mL

Step-by-step explanation:

1 Milliliter = 0.001 L

Factor of 6x⁵ – 2x⁴ – 60x³ – 70x²+54x+72: are 2(x−1) (3x+2x³ – 28x² – 63x – 63)

A polynomial with coefficients in a specific field or in integers is expressed as the result of irreducible components with coefficients in the same domain using polynomial factorization. The polynomials that are multiplied to create the original polynomial are the factors in the case of polynomials. For instance, (x + 2) (x + 3) are the elements of x2 + 5x + 6. The original polynomial is produced when we multiply both x +2 and x +3.

615 - 2x-60x³- 70x² +54 +72

Factor out common term 2:

2(3x⁵-x⁴-30x³ - 35x² +63)

Factor 3x⁵ - x⁴ - 30x³ – 35x²+63:

(x-1) (3x² + 2x³ — 28x² – 63x – 63) -

=2(x − 1 ) (3x⁴ + 2x³ – 28t² – 63x – 63)

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The required equation in which case the left side is the power of 10 times n and the right side is the result of multiplying 0.1515 by 10 is; (10)n = 10(0.1515).

The resulting equation from the subtraction is therefore; 9n = 9 (0.1515).

3. It follows from the task content that the equation represented by the statement; "the left side is your power of 10 times n and the right side is the result of multiplying 0.1515".

Hence, the algebraic expression which represents the situation is; (10)n = 10(0.1515).

4. Also, by subtracting the equation n = 0.1515 from the equation above; we have;

(10)n = 10(0.1515).

-

n = 0.1515

Therefore, the resulting equation from the subtraction is;

(10n - n) = 10(0.1515) - 0.1515

9n = 9 (0.1515).

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Answer:

2935

Step-by-step explanation:

if you divide the total of no votes (2348) to 4 you will get 587

587 x the number of yes votes (5)

would be 2935

Answer:

1.09 = [tex]1\frac{9}{100} [/tex]

Parallel lines are any two line pairs that do not overlap or come together at any point. Despite being on the same plane, these lines do not intersect. Lines or rays that share a plane but do not intersect are also considered to be parallel.

a || b and b || c then a || c.

ie. a || b || c

a || b and b || c then a || c.

ie. a || b || c

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Check the picture below.

so we really have two twin triangles pretty much

[tex]\stackrel{\textit{area of both triangles}}{2\left[ \cfrac{1}{2}(\underset{b}{9})(\underset{h}{4}) \right]\implies \text{\LARGE 36}}[/tex]

Answer:

444.6 square yards.

Explanation:

• A regular hexagon is divided into 6 equilateral triangles.

• The apothem is the height of each equilateral triangle.

• The side length is the base of each triangle.

Thus, the area of the hexagon will be:

The area of a regular hexagon with an apothem 11.4 yards long and a side 13 yards is 444.6 square yards.

Answer:

90 degree counter-clockwise

Step-by-step explanation:

Men are more likely to download and use , but women use both sides of the brain while men only use the left for visual or spatial expression. So, There is a relationship between gender and intended major.

Based on the given conditions,

Differences in applications (apps) downloaded by men and women.

Men are more likely to download and use , whereas women tend to use more than men.

So,

We can write,

According to studies comparing the brain activity of men and women,

Therefore,

Men are more likely to download and use , but women use both sides of the brain while men only use the left for visual or spatial expression. So, There is a relationship between gender and intended major.

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a. The equation of a parallel line with a y intercept of 4 is:

y=5x+4

b. The equation of a line parallel line with a y intercept of -2 is:

y=5x-2

c. Since they have same slope and different intercepts, so the answers to part a and b are also parallel.

a. Given, the given straight line equation is: y=5x-1 eq(1)

hence the slope of the line is m=5

The required line is parallel to (1) so its slope is also same.

m = 5 and the y intercept is 4.

By using y = mx + c form the equation of the required line is:

y = 5x+4

b.  The given straight line equation is: y=5x-1 eq(1)

hence the slope of the line is m=5

The required line is parallel to (1) so its slope is also same.

m = 5 and the y intercept is -2.

By using y = mx + c form the equation of the required line is:

y = 5x-2

c. If two lines have different y-intercepts and equal slopes, then they are said to be parallel. Hence answers to part a and part b are said to be parallel.

Hence we get the desired equations.

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Answer:y=1/2x-41/2

Step-by-step explanation: First we have to find the slope of the line that's given, y - 4 = 2(x+2). The slope is 2 (if we multiply 2*x we would get 2x and the 2 is the slope).

Two lines are perpendicular if their slopes are negative reciprocals. So if the first line has a slope of 2, a perpendicular line would have a slope of -1/2

Now we have to find the equation for the line with slope of -1/2 that passes through the point (3,3). If we use the point-intercept form we can write it as:

y = mx + b

Since the slope is -1/2 and we know that when x = 3, y = 3 (since the line passes through that point) we can substitute the values and solve for b

y = mx+b

3 = -1/2 *3 + b

3 = -3/2 + b

3 = -11/2 + b

41/2 = b

Now we can write the equation as

y = -1/2x + 41/2

Explanation:

Scalene triangle has no side equal. Its angles are also not equal.

The three sides of scalene triangle are all differenet from one another.