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il63 [147K]
4 years ago
15

Given points A (-5, 6) and B (7, -1), find: Distance, Midpoint, and Slope

Mathematics
1 answer:
a_sh-v [17]4 years ago
4 0
We have that
<span>points A (-5, 6) and B (7, -1)

Part A)
find the distance
d=</span>√[(y2-y1)²+(x2-x1)²]-------> d=√[(-1-6)²+(7+5)²]----> d=√(49+144)
d=√193  units

Part B)
find the midpoint
ABx=(x1+x2)/2-----> (-5+7)/2-----> ABx=1
ABy=(y1+y2)/2-----> (-1+6)/2-----> ABy=2.5

the midpoint is (1,2.5)

Part C)
find the slope
m=(y2-y1)/(x2-x1)-----> m=(-1-6)/(7+5)--------> m=-7/12

the slope m=-7/12
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The equation 116 = -7(4 - 2p) + 4p<br> is equivalent to which of the following?
Alexxx [7]

Answer:

d

Step-by-step explanation:

You distribute -7 into (4-2p) and then combine like terms to get 116=-28-18p

4 0
3 years ago
What two numbers multiply to make 2100 and add to make -125
Anna11 [10]
-105 and -20.
-105 x (-20) =2100
-105 + (-20) = -125
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5 0
3 years ago
The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9
mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em>h(t)<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>h(t) = 3 +90\cdot t -16\cdot t^{2}<em>, where </em>t<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

3+90\cdot t -16\cdot t^{2} = 84

16\cdot t^{2}-90\cdot t +81 = 0 (1)

By Quadratic Formula:

t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}

t_{1} = 4.5\,s, t_{2} = 1.125\,s

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

3 0
3 years ago
Thor’s hammer can cover 4.95 km in a second. How many kilometers will it cover in 4.95 seconds
valina [46]

Answer:

24.5025

Step-by-step explanation:

4.95 x 4.95=24.5025

Hope I helped!

6 0
3 years ago
Read 2 more answers
Does 20, 40, 30 form a pythagorean triple
Tatiana [17]

Answer:

Step-by-step explanation:

If it is a Pythagorean Triple the hypotenuse and the legs of a right triangle will all be integer values where

c^2=a^2+b^2

In this case, this isn’t even a right triangle as

20^2+30^2=40^2

400+900=1600

1300!=1600

because 1300 does not equal 1600 this is not a Pythagorean Triple.

6 0
3 years ago
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