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3 years ago

140 converted to kilometres

Mathematics

1 answer:

yuradex [85]3 years ago

3 0

225.30816
Hope this helped :)))

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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

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

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

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

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 $h_2=\frac{-1}{2}(t-10)^2+72$

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

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3 years ago

The figure below is a net for a triangular pyramid. If all the triangles are equilateral, what is the surface area of the pyrami

Sedaia [141]

Bassicalid quietus widucbw Suzy’s exit wish’s dish’s. Wowing. Aosidn. Oausbx.

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2 years ago

In a cafeteria, 1/6 of the students are eating salads , and 2/3 are eating sandwiches. There are 12 students in the cafeteria. H

lions [1.4K]

Answer:

2 other people

Step-by-step explanation:

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2 years ago

Answer all questions CORRECTLY BIG POINTS!

hammer [34]

y^2+9y+20
y^2+10y+21
y^2+2y+3
Step-by-step explanation:

(y+5(y+4) =y(y+4)+5(y+4) =y^2+4y+5y+20 =y^2+9y+20
(y+3(y+7) =y(y+7)+3(y+7) =y^2+7y+3y+21 =y^2+10y+21
(y+3)(y-1)

=y(y-1)+3(y-1)

=y^2-y+3y-3

= y^2+2y+3

5 0

3 years ago

Read 2 more answers

PLEASE HELP

Dmitrij [34]

If the equation for volume is V=l*w*h, you can plug in all of the information you know. When you do this, the equation becomes 1440=15*12*h, or 1440=180*h (because 15*12=180). You can divide both sides by 180 to get h. 1440/180=8, do the depth of the pool is 8 ft. You can also check this answer by making sure that 15*12*8 is equal to 1440 (which it is). I hope this helped!

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3 years ago