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serious [3.7K]
2 years ago
9

What is an equation of the line that passes through the points (4, -2) and (8,3)?

Mathematics
1 answer:
Dimas [21]2 years ago
4 0
Use the equation to find the slope: m=y2-y1/x2-x1 and plug in each of the y coordinates into the numerator and each of the x coordinates in the denominator

m=-2-3/4-8
-5/-4
m=5/4

Plug in the slope and one of the ordered pairs into y=mx+b. I’ll use (8,3)

3=5/4(8)+b
3=10+b
-7=b

Equation: y=5/4x-7
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A ball is thrown straight out at 80 feet per second from an upstairs window that's 15 feet off the ground. Find the ball's horiz
Alex73 [517]

Answer:

Step-by-step explanation:

In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:

a = -32 ft/s/s

v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)

Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)

t = ?? sec.

The equation we will use is the one for displacement:

Δx = v_0t+\frac{1}{2}at^2 and filling in:

-15=(0)t+\frac{1}{2}(-32)t^2 which simplifies down to

-15=-16t^2 so

t=\sqrt{\frac{-15}{-16} } so

t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)

Now we use that time in the x-dimension. Here's what we know in that dimension specifically:

a = 0 (acceleration in this dimension is always 0)

v₀ = 80 ft/sec

t = .968 sec

Δx = ?? feet

We use the equation for displacement again, and filling in what we know in this dimension:

Δx = (80)(.968) +(0)(.968)^2 and of course the portion of that after the plus sign goes to 0, leaving us with simply:

Δx = (80)(.968)

Δx = 77.46 feet

5 0
3 years ago
The research of Eich and Metcalf would suggest that if you were really happy when you were learning math, you should be ________
omeli [17]
Your answer is "happy" based on <span>mood-dependent memory research they conducted.</span>
4 0
3 years ago
Read 2 more answers
Lincoln's monthly bank statement showed the following deposits and withdrawals:
gayaneshka [121]

First you need to add the yellow pingien the ask the red turtule for the green panda name ok

8 0
2 years ago
HURRY PLEASE <br><br> What is the solution of the system 4x+3y=6 2x+2y=5
jolli1 [7]
The first given equation is:
4x + 3y = 6
which can be rewritten as:
2(2x) + 3y = 6 .............> equation I

The second given equation is:
2x + 2y = 5
which can be rewritten as:
2x = 5 - 2y ........> equation II

Substitute with equation II in equation I to get the value of y as follows:
2(5-2y) + 3y = 6
10 - 4y + 3y = 6
-y = 6-10 = -4
y = 4

Substitute with the y in equation II to get x as follows:
2x = 5 - 2y
2x = 5 - 2(4)
2x = 5 - 8 = -3
x = -3/2

From the above calculations:
x = -3/2
y = 4
7 0
3 years ago
Read 2 more answers
Find the area of the kite
Leya [2.2K]

Answer:

144ft^2

Step-by-step explanation:

since it's a kite, there are two pairs of congruent (exactly the same shape) triangles

bc of this you can find one triangle from each pair and double it

e.g.

\frac{6  \times 8}{2}=24

\frac{12  \times 8}{2}= 48

so you would do 2(24+48)=144

6 0
2 years ago
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