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Valentin [98]
2 years ago
8

Twice the difference of a number and 8 is 6. use the variable x for the unknown number.​

Mathematics
1 answer:
Sholpan [36]2 years ago
4 0

Answer:

11

Step-by-step explanation:

Unknown number = x

If twice the difference of x and 8 is 6:

2(x-8) = 6

2x-16 = 6

2x = 6 + 16

2x = 22

x = 22/2

x = 11

Answer from Gauthmath

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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
Which investment data is best modeled by an exponential function?
TiliK225 [7]

Answer:

Answer is C.

Step-by-step explanation:

Please like and mark brainliest, thanks :)

5 0
3 years ago
Read 2 more answers
What’s 5e+|-12+f|+g e=-3 f=4 g=-1
AleksAgata [21]

Answer:

-8

Step-by-step explanation:

5 times -3 is -15

absolute value of -12 plus 4 is 8

-15 plus 8 plus -1 is -8

8 0
3 years ago
30.) Find the value of y: y/5+(-8)=-5<br>a. y = 5<br>b. Y= 10<br>c. Y = 15<br>d y = 20​
zheka24 [161]
The answer is c. Y=15
8 0
3 years ago
mae walked a total distance of 25 km in 4 days. she walked 4 2/5 km to first day, 5 km the second day, and 7 3/10 km the third d
Alika [10]
Mae walked 8 3/10 km on the last day.

If you add 4 2/5+5+7 3/10=16 7/10. Then you subtract 16 7/10 from the total, or 25 km and get 8 3/10 km. Hope this helped:)
6 0
3 years ago
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