Help with Dilations!!!!!!!!!!!!!!!!!!!!!

Need answer fast for test important

r-ruslan [8.4K]

Answer:

non linear

Step-by-step explanation:

I don't know the choice options but they're non-linear

6 0

2 years ago

Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7, 2), and is parallel to the graph x + 3y = -5.

Elena-2011 [213]

Answer:

$B - A = -6$

Step-by-step explanation:

Given

Point: (-7,2)

x + 3y = -5

Required

Find B- - A in Ax + By = 3

To start with; we need to calculate the slope of x + 3y = -5

$x + 3y = -5$

Subtract x from both sides

$x - x + 3y = -5 - x$

$3y = -5 - x$

Divide both sides by 3

$\frac{3y}{3} = -\frac{5}{3} - \frac{x}{3}$

$y = -\frac{5}{3} - \frac{x}{3}$

The slope of the line is the coefficient of x

Slope = $- \frac{1}{3}$

The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of $- \frac{1}{3}$

Having calculated the slope, next is to calculate the equation of the line using the following formula;

$m = \frac{y - y_1}{x - x_1}$

Where m is the slope; m = $- \frac{1}{3}$ ; $(x_1, y_1) = (-7,2)$

Substitute these values in the formula above; the formula becomes

$-\frac{1}{3} = \frac{y - 2}{x - -7}$

$-\frac{1}{3} = \frac{y - 2}{x +7}$

Cross Multiply

$-1(x+7) = 3(y-2)$

Open brackets

$-x - 7 = 3y - 6$

Add x to both sides

$x - x - 7 = 3y - 6 + x$

$-7 = 3y - 6 +x$

Add 6 to both sides

$-7 + 6 = 3y -6 + 6 + x$

$-1 = 3y + x$

Multipby both sides by -3

$-3(-1) = -3(3y + x)$

$3 = -9y - 3x$

$-9y - 3x = 3$

$-3x - 9y = 3$

Comparing the above to Ax + By = 3

$Ax = -3x\\A = -3$

$By = -9y\\B = -9$

$B - A = -9 - (-3)$

$B - A = -9 + 3$

$B - A = -6$

3 0

3 years ago

Solve the simultaneous equation:<br>2x+3y=13<br><br>X+2y=9

Neko [114]

Answer:

2x + 3y = 13

4x - y = -2

In the second equation, subtract 4x from both sides.

-y = -2 - 4x

Divide both sides by -1.

y = 2 + 4x

Put this into the first equation in place of y.

2x + 3(2 + 4x) = 13

Multiply everything in the parenthesis by 3.

2x + 6 + 12x = 13

Combine like terms.

14x + 6 = 13

Subtract 6 from both sides.

14x = 7

Divide 14 on both sides.

x = 7 / 14

x = 0.5

Put this into the second equation in place of x.

4(0.5) - y = -2

2 - y = -2

Subtract 2 from both sides.

-y = -4

Divide both sides by -1.

y = 4

So x = 0.5 and y = 4.

Step-by-step explanation:

8 0

2 years ago

The line with equation y = 2 x + 3 is reflected in the x -axis. Which of the following is the equation of the new line?

aliina [53]

Answer:

The equation of the new line is $y = -2x - 3$

Step-by-step explanation:

Reflecting a function over the x-axis:

Suppose we have a function y = f(x)

Suppose y' is the function y, reflected over the x-axis. Their relation is:

y' = -y

In this question:

Line with equation $y = 2x + 3$

Reflection over the x-axis:

We have that:

$y = -(2x + 3) = -2x - 3$

The equation of the new line is $y = -2x - 3$

4 0

3 years ago

What is the solution 2 1/8-1 19/40=

Aleksandr-060686 [28]

2 1/8-1 19/40

Make the mixed numbers into improper fractions

17/8 - 59/40

Make the fractions have the same common denominator

85/40 - 59/40

Subtract the numerators while keeping the denominators the same

Final Answer: 26/40 or 13/20

3 0

3 years ago