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neonofarm [45]
2 years ago
15

Aiden says that the shape below is a rectangle. Parallelogram Part A Is Aiden correct? Use the drop-down menus to show your answ

er. Choose... , the shape Choose... a rectangle
Mathematics
1 answer:
ElenaW [278]2 years ago
8 0
Need to see the image
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1.) What is the equation of the path of firework #1? Write your equation in general form.
valina [46]

1. I'm assumig that the paths are perfect parabolas

this means that their general forms can be written in y=ax^2+bx+c

it's easier to find vertex form first then expand to get general form

vertex form is y=a(x-h)^2+k where the vertex is (h,k) and a is a constant


firework #1

vertex is (10,50), so (h,k)=(10,50) and h=10, k=50

h_1=a(t-10)^2+50

to find the value of a, subsitute another point

(0,0)

0=a(0-10)^2+50)

0=100a+50

a=\frac{-1}{2}

so the equation in vertex form is h_1=\frac{-1}{2}(t-10)^2+50

expand to get general form

h_1=\frac{-1}{2}(t^2-20t+100)+50

h_1=\frac{-1}{2}t^2+10t-50+50

h_1=\frac{-1}{2}t^2+10t





2.

same as last time

vertex is (10,72) so (h,k)=(10,72) so h=10 and k=72

equation is h_2=a(t-10)^2+72

find a

use another point

(0,22)

22=a(0-10)^2+72

22=100a+72

-50=100a

a=\frac{-1}{2}

so the equation in vertex form is h_2=\frac{-1}{2}(t-10)^2+72




3.

range is the numbers that h is allowed to be

think about what h represents. it represents the height of the rocket

from the graph, we can see that the lowest possible height is 0yd and the highest height is 50yd

so range is 0 to 50 or 0≤h≤50


domain is the numbers that t is allowed to be

think about what t represents. it represents how long the rocket has been flying

it will stop flying when it hits the ground or at t=20

it starts flying at t=0

so domain is from 0 to 20 or 0≤t≤20

3 0
3 years ago
Which correctly describes how the graph of the inequality 5x + 2y = 13 is shaded?
exis [7]

Answer:

The answer is above the solid line.

Step-by-step explanation:

6 0
2 years ago
Please let me know the explanation of the the answer u will tell for this Question..
attashe74 [19]

\huge \purple{\tt{Answer:}}

Area of square = (length)²

= \sf {(3{\dfrac{1}{2}})^2} \\\\\ = \sf {12.25~cm^2}

OR

\sf{12{\dfrac{1}{4}}}

7 0
3 years ago
How to divide 9 by 3960.0
aleksandr82 [10.1K]
3936/9=440 if that is what you meant
5 0
3 years ago
Read 2 more answers
a teacher had 21 red pens. if the ratio of red pens to blue pens she owned was 3:1 , how many pens did she have in total
erma4kov [3.2K]
There are 21 red pens. For every 3 red pens, there is 1 blue pen.
Let's make these into a fraction equation.
21/p=3/1
p is the number of blue pens we have yet to find.
First, cross multiply.
21x1=21
px3=3p
Now, we have an equation of
21÷3p
We set it equal to 1, and we solve it.
21÷3p = 1
(21÷3p)×3p=1×3p
21=3p
21÷3=(3p)÷3
7=p
So, if there are 21 red pens, there are 7 blue pens.
We add these together to find the total number of pens the teacher has.
21+7=28
The teacher has 28 pens total.
5 0
2 years ago
Read 2 more answers
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