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Oksana_A [137]
3 years ago
10

Beth drops a bouncy ball, which bounces back up again. The graph 'below shows the

Mathematics
1 answer:
jolli1 [7]3 years ago
3 0

Answer:

Step-by-step explanation: its a

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find the equation of the sides of an isosceles right angled triangle whose vertex is (-2,-3) and the base is on the line x=0​
Serggg [28]

Answer:

AC:y=x-1  CB:y=-x-5 AB:x=0

Step-by-step explanation:

Consider the triangle. The base AB is on the line x=0, the vertex C is (-2,-3)

The side AC is equal to BC. The angle ACB is 90 degrees. If the base is on the line x=o, it is on the axis Y.Explore the distance from the point C to the AB

c(-2,-3), the distance to the axis Y is equal to the modul of the coordinate x (-2), it is 2. The coordinates of point projected by the point C to the axis Y is N(0,-3). The modul of the height is 2, the height of the isosceles triangle to the base is the bisectrix, so the angle BCA is 90/2=45degrees, CBA is 180-90-45=45 degrees too

the heigt CN is equal to side NB, NB=2

Suppose B is (0,y) (x=0 because the base is on this line)

THe modul of the vector NB is equal to sqrt ((0-0)^2+(y+3)^2)= 2

modul (y+3)= 2

y=-1 or y=-5

(0,-1), (0,-5) - two points, one of them (suppose B) is (0,-5) when A is (0,-1) (A is remote from the point N on the same distance with B, because AB is the median too)

Find CB and AC

Use the equation for AC

(x-0)/(-2-0)= (y+1)/(-3+1)

x/-2= (y+1)/-2

x=y+1

y=x-1

For CB

(x-0)/ (-2-0)= (y+5)/ (-3-(-5))

x/-2= (y+5)/2

-x=y+5

y=-x-5

7 0
2 years ago
What is the gcf of 12a²,15a³,18a5​
joja [24]

Answer:

3a {}^{2}

5 0
3 years ago
The spinner below shows 5 equally sized slices. Rain a spun the dial 500 Times and got the following results.
tensa zangetsu [6.8K]
Probability is represented as the number of ways for an event to happen over all possible outcomes. For the theoretical probability, there is 1 black spot and 5 total options. Therefore, the probability is 1/5, or 0.20.
For experimental probability, there were 103 times it landed on black out of 500 spins. The probability is 103/500, or 0.206.
Lastly, the multiple choice. The larger sample size you take, assuming a fair spinner, the more likely you are to see results similar to the theoretical probability. This is because the larger sample size taken, the less each individual spin effects the outcome.

8 0
3 years ago
(NEED HELP ASAP) What rule defines the function in each of the following graphs?
QveST [7]

Hey there!!

The graph B is not a function as it doesn't pass the vertical line test, as there are two x values repeating.

We do not want value x repeating, if it does, it is not considered to be a function anymore.

Hope my answer helps!

3 0
3 years ago
What is the equation of the circle with center (1, 1) that passes through the point (−3, 4)?
Alex_Xolod [135]

Answer:  (x - 1)² + (y - 1)² = 25

<u>Step-by-step explanation:</u>

The formula for a circle is     (x - h)² + (y - k)² = r²     where

  • (h, k) is the center
  • r is the radius

Typically, you are given the center and the radius.  In this problem, you are given (x, y) so you must plug that into the equation to find r².

Given: (x, y) = (-3, 4)   and   (h, k) = (1, 1)

                       (-3 - 1)² + (4 - 1)² = r²

                         (-4)²    +   (3)²   = r²

                          16      +    9     = r²

                                  25         = r²

Next, input (h, k) and r² into the equation

                  (x - 1)² + (y - 1)² = 25

3 0
3 years ago
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