Write an equation that says 9 plus a number times 14

What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE

maks197457 [2]

Given:

The equation of a line is:

$2y+3x=10$

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

$2y+3x=10$

For $x=0$ ,

$2y+3(0)=10$

$2y+0=10$

$y=\dfrac{10}{2}$

$y=5$

For $x=2$ ,

$2y+3(2)=10$

$2y+6=10$

$2y=10-6$

$2y=4$

Divide both sides by 2.

$y=\dfrac{4}{2}$

$y=2$

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

$(x,y)\to (3x,3y)$

Using this rule, we get

$A(0,5)\to A'(3(0),3(5))$

$A(0,5)\to A'(0,15)$

Similarly,

$B(2,2)\to B'(3(2),3(2))$

$B(2,2)\to B'(6,6)$

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-15=\dfrac{6-15}{6-0}(x-0)$

$y-15=\dfrac{-9}{6}(x)$

$y-15=\dfrac{-3}{2}x$

Multiply both sides by 2.

$2(y-15)=-3x$

$2y-30=-3x$

$2y+3x=30$

Therefore, the equation of the line after the dilation is $2y+3x=30$ .

3 0

2 years ago

Write 25/176 as a decimal then tell if it's a terminating or a repeating decimal.

EastWind [94]

Answer:

0.14204545454545

It's a repeating decimal

Step-by-step explanation:

25/176 is the same as 25 ÷ 176

so 25 ÷ 176 = 0.14204545454545

and it is a repeating decimal because the reminder is not 0

8 0

2 years ago

For a computer science degree, if you have a bachelor's degree your projected yearly income is $68,103 and if you have a master'

MAVERICK [17]

Answer:

566,880

Step-by-step explanation:

First you have to understand what the problem is asking you. It wants you to find the difference between working for 40 years with a master's degree and 40 years with a bachelor's degree.

Next you need to do the math. You can use a calculator since these are pretty large numbers. Enter in the following to find how much you make working 40 years with a bachelor's degree: 68,103 * 40 Once you have calculated that, you should get 2,724,120. Now you need to find how much you earn working 40 years with a master's degree. Enter the following: 82,275 * 40 You should get 3,291,000.

Finally you need to find the difference. Type into your calculator the following: 3,291,000 - 2,724,120 You should end up with 566,880.

Hope this helps!

-Coconut;)

7 0

2 years ago

Evaluate the following +7−×44÷122

Xelga [282]

+ 7 (-44) ÷ 122
- 308 ÷ 122
- 2,52..

7 0

2 years ago

How many packs of DVD's can you buy with 180 dollars if one pack costs 12 dollars?

nirvana33 [79]

Answer:15

Step-by-step explanation:

180 divided by 12 is 15

3 0

3 years ago