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zlopas [31]
1 year ago
12

Find an equation for the line below

Mathematics
1 answer:
ella [17]1 year ago
4 0
Answer is y= - 3/4x - 3 1/2
Step by step
We are looking for y = mx + b equation

First we find the two points on the graph
(-6, 1) and (2, -5)
Now we will find slope by finding change in y over change in x
(Y2 - y1) over (x2 - x1)
( -5 -1) over ( 2 - (-6) )
-6 over 8
reduce to -3/4 is slope “m”

Now we can solve for “b”
Substitute one set of points and your slope you just found into the equation
Let’s use ( 2, -5)

y = mx + b
-5 = ( -3/4) (2) + b
-5 = -3/2 + b
Now add 3/2 (same as 1-1/2) to both sides to isolate “b”
-5 + 3/2 = -3/2 + 3/2 + b
-3 1/2 = b

Now we have y= -3/4 - 3 1/2 for your equation!

Problem solved.

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HElPpPpP mEeHhH TvT <3
BARSIC [14]

Answer:

i think its b srry if im wrong

Step-by-step explanation:

6 0
3 years ago
Suppose that a family wants to increase the size of the garden which is currently 16 feet long and 8 feet wide without changing
Cloud [144]

Answer:

See below

Step-by-step explanation:

<u>Sides of the garden</u>

  • 16 feet and 8 feet

<u>New dimensions of the garden</u>

  • 16 + 2x and 8 + x

<u>1. The area of the new garden</u>

  • (16 + 2x)(8 + x) =
  • 2x^2 + 32x + 128

<u>2. The difference in area </u>

  • 2x^2 + 32x + 128 - 16*8 =
  • 2x^2 + 32x

<u>3. x= 2 effect on the area</u>

  • 2*2^2 + 32*2 =
  • 8 + 64 =
  • 72 ft²

<u>4. Area difference = 160</u>

  • 2x^2 + 32x = 160
  • x^2 + 16x - 80 = 0
  • Solving we get positive root of 4 ft

<u>5. Area difference = 4 times</u>

  • 2x^2 + 32x = 128*3
  • 2x^2 + 32x - 384 = 0
  • x^2 + 16x - 192= 0
  • Solving we get positive root of 8 ft

3 0
3 years ago
If you reflect triangle MOV across the x-axis, what is the coordinate of O in the image?
Zina [86]

Hi,

The answer you are looking for is 2. (-4,2)

Have a great day & remember to mark brainliest if I helped :)

4 0
3 years ago
Read 2 more answers
2x = 17 is a linear function<br> True<br> False
xz_007 [3.2K]

Answer:

False

Step-by-step explanation:

a linear function is always in the form y=(f)x=bx+a

That means that there will not be one set answer and the line can be graphed. Your question is an equation, but not a linear one because there is only one set answer which would be 17/2=8.5.

5 0
3 years ago
Caden exercises daily by walking on a treadmill. He sets the machine so that he will walk at a steady rate of 3.6 miles per hour
babunello [35]

Answer:

a) d = 3.6t

b) 10.8 miles

c) 1.2 hours

Step-by-step explanation:

For part a:

Slope of a line: y = mx + b

In this case, the equation would be: d = mt,

where m represents the speed Caden is walking at.

Note: b = 0 in this case because when Caden starts walking on the treadmill, he hasn't really covered any distance yet.

Therefore, plugging in a speed of 3.6 miles per hour, the equation is:

d = 3.6t

For part b:

This is a simple instance of plugging in 3 hours for our t value.

Therefore, d = 3.6 (3)

d = 10.8 miles

For part c:

In this case, we are given that d = 4.32 miles.

Therefore, 4.32 = 3.6t

Dividing both sides by 3.6, we get

t = 1.2 hours

5 0
3 years ago
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