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zheka24 [161]
3 years ago
9

Please help thanks !!

Mathematics
1 answer:
otez555 [7]3 years ago
6 0

Answer:

x=7

7-4=3

7+2=9

Step-by-step explanation:

Triangle ABE and Triangle CDB are similar

4*3=12

ABE is 3 times bigger than CDB

3(x-4)=x+2

3x-12=x+2

2x-12=2

2x=14

x=7

7-4=3

7+2=9

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What is the inverse of f(x)=2x-6
saveliy_v [14]

Answer:

The inverse is 1/2x +3

Step-by-step explanation:

f(x) = 2x-6

y = 2x-6

Exchange x and y

x =2y-6

Solve for y

x+6 =2y

Divide by 2

1/2x +3 = y

The inverse is 1/2x +3

7 0
2 years ago
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
The inequality graphed below represents the ages, a, of
galina1969 [7]

Answer:

the first one

Step-by-step explanation:

the others don't make any sense and also the first one's the only one that's in inequality form.

6 0
3 years ago
Read 2 more answers
Which expression is equivalent to 4 - (-7
liraira [26]

Answer:

11 is the answer

Step-by-step explanation:

4 0
2 years ago
Please please help. Marking Brilliant for the correct answer
NISA [10]

Answer:

x = 19

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x-7+4) * 4 = 8^2

(x-3)*4 = 64

Divide each side by 4

x-3 =16

Add 3 to each side

x-3+3 = 16+3

x = 19

5 0
3 years ago
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