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snow_lady [41]
3 years ago
13

Find the equation of a line that is parallel to y = 2x - 10 and passes through the point (3, -2). 

Mathematics
1 answer:
Whitepunk [10]3 years ago
3 0
Parallel, therefore gradient is the same = 2
y-y1=m(x-x1)
y+2=2(x-3)
y+2=2x-6
y=2x-8
Option A
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Please help! I need this fast
Maslowich

Answer:

(2x + 7) feet

Step-by-step explanation:

I'm guessing the expression there is

4x² + 28x + 49

4x² +14x +14x +49

Factorize

2x ( 2x + 7) +7( 2x + 7)

(2x + 7)²

Area = (side)1

One side is (2x +7)

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3 years ago
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What is the most efficient first step to isolate the variable term on one side of this equation?
Nat2105 [25]

Answer:subtract by 4x on each side first

Step-by-step explanation:

When you do so you'll get 5x on the left side of the equal sign and -5 on the right side. Next you would divide by 5 on both sides and this gives you x on the left side and -1 as your answer on the right side.

7 0
3 years ago
Read 2 more answers
What is the value of the correlation coefficient r of the data set?
enyata [817]

The correct option will be:  C) 0.84

<u><em>Explanation</em></u>

Formula for Correlation coefficient :

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}

First, for each point(x, y), we need to calculate x², y² and xy .

Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy

<em>(Please refer to the attached image for the table )</em>

Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480

'n' is the total number of data set, which is 7 here.

So, plugging those values into the above formula..........

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}\\ \\ r=\frac{7(1480)-(44)(183)}{\sqrt{[7(362)-(44)^2][7(6575)-(183)^2]}}\\ \\ r=\frac{10360-8052}{\sqrt{(598)(12536)}}\\ \\ r=\frac{2308}{\sqrt{7496528}}\\ \\ r=0.84

So, the value of the correlation coefficient is 0.84

4 0
3 years ago
Read 2 more answers
Please answer quickly
notka56 [123]

Answer:

\frac{16}{3}

Step-by-step explanation:

To evaluate substitute x = - \frac{1}{2} into f(x)

f( - \frac{1}{2})

= - \frac{2}{3} × - \frac{1}{2} + 5

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= \frac{1}{3} + \frac{15}{3} = \frac{16}{3}


4 0
3 years ago
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