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2 years ago

The equation through the point (-2, 5) and is parallel to the line with the equation y=2x+7

1 answer:

8 0

If a line is parallel to y=2x+7 the line must have the same slope but different y- intercept. The equation y=2x+7 has a slope (m) of 2 and y- intercept of 7.

By using the point slope formula and the point (-2,5) we have:

$y = m(x -x1) + y1 \\ \\ y = 2(x - ( - 2)) + 5 \\ \\ y = 2(x + 2) + 5 \\ \\ y = 2x + 4 + 5 \\ \\ y = 2x + 9$

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Find the ratio of the areas.

pshichka [43]

9514 1404 393

Answer:

3 -2√2

Step-by-step explanation:

For a regular octagon of side length s, the "flat-to-flat" dimension across the center is s(1+√2). The flat-to-flat dimension of the shaded center octagon is simply s. The ratio of areas is the square of the ratio of linear dimensions, so we have ...

small area / large area = (1/(1+√2))^2 = 1/(3+2√2)

small area/large area = 3 -2√2

_____

The attachment shows octagons after the fashion described here. The side length of the larger one is 2 units. The numbers inside are the areas. They have the ratio shown above.

3 0

2 years ago

(U...

Tresset [83]

Answer:

the 19th term of the arithmetic sequence is 73.

Step-by-step explanation:

Given:

The arithmetic sequence whose common difference is

$d=4$

And first term is

$a=1$

Find the 19th term of the arithmetic sequence

$n=19$

Now we know that,

$a_{n}=a+(n-1)d$

Put all the value in above AP.

$a_{19}= 1+(19-1)4$

$a_{19}= 1+18\times 4$

$a_{19}= 1+72$

$a_{19}= 73$

So, $19_{th}$ term of the sequence is 73.

3 0

3 years ago

Owing each step. Wri<br>7(m + 5) = 21

Karo-lina-s [1.5K]

Answer:

m=-2

Step-by-step explanation:

7(m+5)=21

m+5=21/7

m+5=3

m=3-5

m=-2

6 0

3 years ago

Read 2 more answers

Jacob earned $80 babysitting and deposited the money into his savings account.The next week he spent $85 on video games.Use inte

IgorC [24]

Answer:

Here's what I get

Step-by-step explanation:

$\begin{array}{cccc}\bf{Week}& \textbf{Earned/Spent} & \textbf{Change} & \textbf{Net Change}\\1 & \text{Earned \$80} & + 80 & + 80\\2 & \text{Spent \$85} & \mathbf{- 85} &\mathbf{-5}\\\end{array}$

The net chance in Jacob's savings was +80 in the first week, -85 in the second week, and -5 overall.

3 0

3 years ago

Look at the question

tamaranim1 [39]

Your answer is:

B. subtract 10 to both sides

Hope it helps
Have a great day :)
Let me know if it’s correct

5 0

3 years ago