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Anit [1.1K]
3 years ago
13

5.3.21

Mathematics
1 answer:
Flauer [41]3 years ago
7 0

Answer:

y = -4x + 9

Step-by-step explanation:

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Which equation represents the line through (4, -6) and (0, 2)?
lukranit [14]

Answer:

y=-2x+2

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0).

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\displaystyle\frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

Plug in the given points (4, -6) and (0, 2):

m=\displaystyle\frac{-6-2}{4-0}\\\\m=\displaystyle\frac{-8}{4}\\\\m=-2

Therefore, the slope of the line is -2. Plug this into y=mx+b:

y=-2x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

The y-intercept occurs when x=0. We are given that (0,2) falls on the line, so therefore, 2 is the y-intercept. Plug this into y=-2x+b:

y=-2x+2

I hope this helps!

3 0
3 years ago
Read 2 more answers
Can someone pls help with these geometry questions, it’s urgent.
Phantasy [73]

Answer:

6. x + x + 14 = 90

   2x + 14 = 90

   2x = 76

   x = 38

angle b = 38 + 14 = 52°

7. angles on a straight line add up to 180°

   x + x - 32 = 180

   2x = 212

    x = 106°

angle d = 106 - 32 = 74°

8. vertically opposite angles are equal

   7x - 80 = 3x

    -80 = -4x

     20 = x

angle 1 = 7(20) - 80 = 60°

angle 2 = 3(20) = 60°

7 0
2 years ago
Emily had 75 buttons. She gave 15 to Jake. What percent of buttons did she give to Jake?
eduard

Answer:

20%

Since Emily gave 15 of her buttons out of 75, it's just 15/75 or 1/5 which is 20

Step-by-step explanation:

8 0
3 years ago
A bug splatters on the windshield of a moving car. Describe the 1. Forces 2. Impulses 3. Momentum changes 4. And accelerations o
uranmaximum [27]

Answer:

acceleration=force/mass

Due to variation in the mass[ as same force as per magnitude acts on both of them] the acceleration developed in the bug will be more and the acceleration developed in the car is negligible.

impulse=change in momentum

The impulse of bug is more and that of car is small.

momentum changes=change in momentum

force=change in momentum/time of contact

the force exerted by car on the bug will be more than the converse

Total. momentum is conserved , so magnitude of change in momemtum or impulse is same. By Newtons third law, since the bug have smaller mass, its change in magnitude of velocity is larger.

Step-by-step explanation:

4 0
3 years ago
The figure shown is a rhombus. A rhombus with diagonals is shown. The diagonals form 4 triangles. The measures of the angles are
Vaselesa [24]

Answer:

A

Step-by-step explanation:

I just took the test and i got it correct! :)

3 0
3 years ago
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