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scoray [572]
4 years ago
10

Find the coordinates of the midpoint of the segment given its endpoints F(2,-6) and G(-8,5)

Mathematics
1 answer:
Bess [88]4 years ago
8 0

Step-by-step explanation:

see the pic fof the answer

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The graph of y = tan ⁡(x − π / 2) compared to the graph of y = tan ⁡x has:
vodomira [7]

Answer:

Last Option moved \frac{\pi}{2} units right

Step-by-step explanation:

If we have a function f(x) and we want to move it horizontally then we make the transformation:

y = f (x + h)

If h then the graph of f(x) moves horizontally h units to the right

If h> 0 then the graph of f(x) moves horizontally h units to the left.

In this case we have the function y = tan (x) and the transformation is performed to obtain y = tan(x- \frac{\pi}{2})

Notice that in this transformation

h

<u><em>Then the graph of y = tan (x) moves horizontally \frac{\pi}{2} to the right</em></u>

5 0
3 years ago
What is the unite rate for 42 laps in 6 races?
Nitella [24]
42/6 = 7 laps per race
3 0
3 years ago
Read 2 more answers
EMERGENCY HELP! A steady stream of water flows into a partially-filled rectangular tank. After 6 minutes, there are 87 gallons o
german

Answer:

y=9x+33

33 gallons of water to begin with.

Step-by-step explanation:

So we essentially are given two coordinates: (6,87) and (21,222). To find an equation, we simply need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.

The slope is:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{222-87}{21-6}=135/15=9

So, the rate at which the stream flows is 9 gallons per minute.

Now, let's find the initial amount of water. To do this, we can use point-slope form. Pick either of the two points. I'm going to use (6,87).

y-y_1=m(x-x_1)\\y-87=9(x-6)\\y-87=19-54\\y=9x+33

So, there were 33 gallons of water in the tank to begin with.

3 0
3 years ago
What is the slope of the line which passes through (−2, 0) and (0, 4)? −2 0 2 Undefined
faust18 [17]

slope is also m

m= Y2-Y1 / X2-X1

X1= -2

X2= 0

Y1= 0

Y2= 4

4-0/0-(-2)

4/2

divide by 2

4/2= 2

2/2= 1

2*1= 2

Answer: slope is 2

7 0
3 years ago
Read 2 more answers
A classic physics problem states that if a projectile is shot vertically up into the air with an initial velocity of 151 feet pe
madam [21]

Answer:

Step-by-step explanation:

144 = -16t² + 151t + 95

  0 = -16t² + 151t - 49

quadratic formula

t = (-151 ±√(151² - 4(-16)(-49))) / (2(-16))

t = (-151 ± 140.23195) / -32

t = 0.34 s

t = 9.10 s

3 0
3 years ago
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