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SpyIntel [72]
3 years ago
12

Translation: 4 units left and 4 units up J(−1, −2), A(−1, 0), N(3, −3)

Mathematics
1 answer:
deff fn [24]3 years ago
3 0

Answer:

J(-5,2), A(-5,4), and N(-1,1)

Step-by-step explanation:

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A rock is thrown upward from a bridge that is 57 feet above a road. The rock reaches its maximum height above the road 0.76 seco
bekas [8.4K]

answer:

f(t) = -9.9788169(t -0.76)^2 +57

Step-by-step explanation:

On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the  number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).

now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is f(x)= a(x-p)^2 +q  , where (p,q) is the turning point. now we substitute the turning point

f(t) = a(t-0.76)^2 + 57, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.

0 = a(3.15 - 0.76)^2 + 57

-57 =a(2.39)^2  

-57 = a(5.7121)

-57/5.7121 =a

-9.9788169 = a      then we substitute a to get the quadratic equation therefore f is

f(t) = -9.9788169(t-0.76)^2 +57

4 0
2 years ago
A cube measures 1cm on each side. What is the volume of the cube? If this cube is dropped into a 28ml of water, what will the ne
Archy [21]
  • Answer:

<em>29 ml</em>

  • Step-by-step explanation:

<em>Vcube = 1cm×1cm×1cm = 1 cm³</em>

<em>1 cm³ = 1 ml</em>

<em>If this cube is dropped into a 28ml of water the new reading will be 29 ml.</em>

3 0
3 years ago
Given ƒ(x) = −10x + 45, find x when ƒ(x) = 15.
Temka [501]

Answer:

x = 3

Step-by-step explanation:

Given

f(x) = - 10x + 45 and f(x) = 15, then equating gives

- 10x + 45 = 15 ( subtract 45 from both sides )

- 10x = - 30 ( divide both sides by - 10 )

x = 3

5 0
3 years ago
Please help, urgent. picture shown.
Zolol [24]

Answer: 80

Step-by-step explanation:

First, find the area of the square by doing 12 x 12. (Which = 144)

Then, find the area of the circle. This is found by using the formula of 1/4 • π • 9 squared.

This should get you 63.62, or 64 when rounded up.

You then subtract 64 from 144 and get 80 for your answer.

5 0
3 years ago
The circumference of a circle is 18.84 yards. What is the circle's diameter?
madam [21]
Circumference = 18.84 yards
Diameter = 6 yards
8 0
2 years ago
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