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Katarina [22]
2 years ago
5

Write the equation of the line that passes through (-3,9) and is parallel to y = -2x + 5

Mathematics
1 answer:
Anettt [7]2 years ago
3 0

Answer:

y = -2x +3

Step-by-step explanation:

Parallel lines always have the same slope

To insert the point, use the slope intercept formula: y =mx+b

insert y (9)

insert x (-3)

insert the slope -2

9 = (-2)(-3) + b

9 = 6+b

subtract 6 from both sides

3 = b

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What is the slope of the line through the points (2, 10) and (5, 8)?
xxMikexx [17]
The slope of a line is calculated by dividing the one y portion of the line by one x portion of the line. In this problem we have two points which can indicate us one portion of the y axis and one portion of the x axis. If we have two points of one line, then we can calculate its slope:
Point one (x1, y1)
Point two (x2, y2)
then the slope can be calculated as:
m = (y2 - y1)/(x2 - x1)

So lets use our data:
Point one (2, 10)
Point two (5, 8)
then the slope can be calculated as:
m = (8 - 10)/(5 - 2<span>)
</span>m = -2/3
therefore the slope is negative and is -2/3
4 0
3 years ago
The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?
igor_vitrenko [27]

Answer:

Option D: g = 7 and h = 3

Step-by-step explanation:

The polynomial is;

8x² – 8x + 2 – 5 + x

Simplifying this gives;

8x² - 7x - 3

If this is simplified to 8x² – gx – h

Thus, by comparison of terms;

– gx = - 7x

-x will cancel out to get;

g = 7

Similarly, - h = - 3

Thus,h = 3

Therefore; g = 7 and h = 3

3 0
3 years ago
Find the gradient of the line segment between the points (-4,1) and (2,4). Give your answer in its simplest form.
andrew-mc [135]

Answer:

<h2>\frac{1}{2}</h2>

Solution,

Let the points be A and B

A(-4 , 1)------>( X1, y1)

B(2,4)---------->( x2, y2)

Now,

Gradient:

\frac{y2 - y1}{x2 - x1}

\frac{4 - 1}{2 - ( - 4)}

\frac{3}{2 + 4}

\frac{3}{6}

\frac{1}{2}

Hope this helps...

Good luck on your assignment...

3 0
3 years ago
Read 2 more answers
Simplify 4/(√5+ √2) - 3/(√5- √2)​
MakcuM [25]

Step-by-step explanation:

\frac{4}{ \sqrt{5} +   \sqrt{2}}  -  \frac{3}{ \sqrt{5} -  \sqrt{2}  }  =  \\  =  \frac{4( \sqrt{5}  -  \sqrt{2} ) - 3( \sqrt{5} +  \sqrt{2} ) }{( \sqrt{5}  +  \sqrt{2}  )\times ( \sqrt{5}  -  \sqrt{2} )}  =  \\  =  \frac{4 \sqrt{5} - 4 \sqrt{2}  - 3 \sqrt{5} - 3 \sqrt{2}   }{5 -  \sqrt{10}  +  \sqrt{10} - 2 }  =  \\  =  \frac{ \sqrt{5}  - 7 \sqrt{2} }{3}

8 0
2 years ago
I need help on this question im testing
ycow [4]

Answer:

500 cubic ft to gallons = 3740.26

Step-by-step explanation:

hope this helps :)

5 0
3 years ago
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