PLEASE HELP ME, it's either one of the answers below

4) The line -3x + 4y = 8 is transformed by a dilation centered at the origin. Which linear equation could represent its image?

Dimas [21]

Answer:

4) The linear equation which could represent its image is y = $\frac{3}{4}$ x + 8 ⇒ (2)

5) The equation of the image of the line is y = $\frac{3}{2}$ x - 3 ⇒ (4)

Step-by-step explanation:

Dilation does not change the slope of a line but changes the y-intercept

Dilation of a line segment is longer or shorter by ratio that equal to the scale factor of dilation

4)

The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b its y-intercept

Let us put the given equation in the slope-intercept form to find its slope

∵ The line -3x + 4y = 8 is transformed by a dilation centered at

the origin

- Add 3x to both sides

∴ 4y = 3x + 8

- Divide both sides by 4

∴ y = $\frac{3}{4}$ x + 2 ⇒ the equation of the line before dilation

- By comparing it with the form above, then m = $\frac{3}{4}$ , so the

equation after dilation has the same slope

∵ The slope of the line before dilation is $\frac{3}{4}$

∴ The slope of the line after dilation is $\frac{3}{4}$

∵ The equation that has the slope $\frac{3}{4}$ is y =

∴ The equation of the image of the line is y = $\frac{3}{4}$ x + 8

The linear equation which could represent its image is y = $\frac{3}{4}$ x + 8

5)

∵ The equation of the line is y = $\frac{3}{2}$ x - 4

∵ The scale factor of dilation is $\frac{3}{4}$

- Dilation dose not change the slope of the line

∴ The slope of the image after dilation is $\frac{3}{2}$

- Dilation changes the y-intercept, to find it multiply the scale

factor of dilation by the y-intercept of the line before dilation

∵ The y-intercept of the line is (0 , -4)

- Multiply it by $\frac{3}{4}$

∵ $\frac{3}{4}$ × -4 = -3

∴ The y-intercept of the image is (0 , -3)

∴ The equation of the image of the line is y = $\frac{3}{2}$ x - 3

3 0

3 years ago

. What is the negative solution to this equation? 8x2 – 4x = 363

stiv31 [10]

Answer:

- x = 81 and 3/4

Step-by-step explanation:

8 × 2 – 4x = 363

16 - 4x = 363

Subtract 16 from each side:

16 - 16 - 4x = 363 - 16

- 4x = 327

Divide each side by 4:

- 4x ÷ 4 = 327 ÷ 4

- x = 81 and 3/4

8 0

3 years ago

A tree casts a shadow 12 meters long , while a bush nearby casts a shadow 3.5 meters long. If the tree is 3.2 meters tall, how t

Lynna [10]

X = height of bush
12/3.5 = 3.2/x [cross multiply]
(12)(x) = (3.2)(3.5)
12x = 11.2 [Divide 12 on both sides]
x = 0.93 m

The height of the bush is 0.93 meters.
Best of luck.

6 0

3 years ago

What's the degree of the polynomial? P(x)= 7x^7+2x^5+7x+7

mario62 [17]

Answer:

7

General Formulas and Concepts:

Degree of Polynomial is determined by the highest power

Step-by-step explanation:

Step 1: Define function

P(x) = 7x⁷ + 2x⁵ + 7x + 7

Step 2: Identify

7x⁷ is the largest term.

Has the highest power
Therefore, highest degree

4 0

3 years ago

Consider the points (−4, 0) and (5, 0).

Lostsunrise [7]

Answer:

answered

Step-by-step explanation:

A) there y- coordinates are same . This means that the points lie on the x- axis only.

b) since the y- coordinate is zero of both the points. The distance between them must be same as the distance between their x- coordinates. Which can be easily obtained with help of the number line. Here the distance will be equal to 9 units.

c) since the y- coordinate is zero of both the points. The distance between them must be same as the distance between their x- coordinates. Which can be easily obtained with help of the number line. Here the distance will be equal to 9 units

6 0

3 years ago