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4 years ago

find the equation for the line passing through the point (-2,4) and parallel to the line whose equation is y=3x+11

Mathematics

1 answer:

ycow [4]4 years ago

4 0

Answer: y = 3x+10

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Explanation:

The line y = 3x+11 is in slope intercept form y = mx+b where m = 3 is the slope. Anything parallel to this line will also have a slope of 3. Let's plug in m = 3 and (x,y) = (-2,4) which is the point this parallel line goes through.

y = mx+b

y = 3x+b ... replace m with 3

4 = 3(-2)+b ... replace x with -2; replace y with 4

4 = -6+b

4+6 = -6+b+6 ... add 6 to both sides

10 = b

b = 10

Since m = 3 and b = 10, this means that y = mx+b turns into y = 3x+10

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20 + 17y = -6 + 15y<br><br> Can you help me find y?

MariettaO [177]

20 + 17y = -6 + 15y

First, regroup your terms.
$20 + 17y = 15y - 6$
Second, take away '15y' from each side.
$20 + 17y - 15y = -6$
Third, subtract '17y - 15y' to get '2y'.
$20 + 2y = -6$
Fourth, take away '20' from both sides.
$2y = -6 - 20$
Fifth, simplify '-6 - 20' to get '-26'.
$2y = -26$
Sixth, divide both sides by '2'.
$y = -\frac{26}{2}$
Seventh, how many times goes 2 go into 26? 26 ÷ 2 = 13.
$y = -13$

Answer: y = -13

4 0

3 years ago

PLEASE HELP! Find the height of a cylinder with a surface area of 108 pi square meters. The radius of the cylinder is twice the

Naily [24]

Assuming the cylinder is closed at both ends
Surface area = 2 pi r^2 + 2 pi r h = 108

now h = r/2 so we have:-

2pi r^2 + pi r^2= 108

3 pi r^2 = 108
r^2 = 11.459
r = 3.385
so the height h = 1.693 m to nearest thousandth

7 0

3 years ago

If the ratio of milk cartons to juice boxes is 13:x and there are 39 milk cartons

max2010maxim [7]

The answer is 6 because 39/13=3 and 18/3=6

8 0

3 years ago

Read 2 more answers

Explain how you could mentally find 8 x 45 by using the distributive property

dangina [55]

First, break up 45 into 40 and 5 then multipy 8(40) which equals 320 and multipy 8(5) which equals 40. Thrn add 320+40 to get the product 360.
Hope this helped

8x45
8(40)+8(5)
320+40
360

6 0

4 years ago

A line passes through (8,2) and (11,-13) write the equation of thr line in standerd form

docker41 [41]

Answer:

Step-by-step explanation:

(8,2),(11,-13)

slope(m) = (-13 - 2) / (11 - 8) = -15/3 = -5

y = mx + b

slope(m) = -5

(8,2)...x = 8 and y = 2

now we sub and find b, the y int

2 = -5(8) + b

2 = -40 + b

2 + 40 = b

42 = b

so ur equation is : y = -5x + 42...now we need it in standard form

Ax + By = C

y = -5x 42

5x + y = 42 <====

8 0

4 years ago