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3 years ago

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In five years, Josh will be 21 years old. How old is he now? Let J represent Josh's current age. Which formula would correctly c

alculate Josh's current age?

1 answer:

defon3 years ago

3 0

21 - 5 = J
J + 5 = 21
J = 16

Hope this helps!

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Need help answering this question please help

ohaa [14]

i think its C or D

yes

6 0

3 years ago

Complete the coordinate proof of the theorem. Given: A B C D is a rectangle. Prove: The diagonals of A B C D are congruent.

Inessa05 [86]

Step-by-step explanation:

<u>Given coordinates of the rectangle ABCD:</u>

A(0, 0), B(a, 0), C(x, y), D(0, b)

Lets first find coordinates of C

We can see that A and B are on same line horizontally, so C and D will be on the parallel line

The distance AB and CD are equal also distance AD and BC are equal, therefore

AB = a - 0 = a, CD = a
AD = b - 0 = b, BC = b

<u>So the coordinates of C are:</u>

x = a, y = b

<u>Now the diagonals:</u>

AC = √(a-0)² + (b-0)² = √a²+b²
BD =√(0-a)² + (b -0)² = √a² + b²

Since AC = BD, we can state they are congruent

3 0

3 years ago

Read 2 more answers

Triangle F, G, H is similar to triangle A, B, C. Solve for x.

pychu [463]

It is x x- osia math and 87 and please and it is mathamatics

7 0

2 years ago

Read 2 more answers

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

Suppose a rectangle will undergo a rotation about the origin of a coordinate plane and a translation of 6 units down. Which of t

nikdorinn [45]

Answer: The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

Step-by-step explanation: Since a dilation is not performed, the shape and size stay the same no matter how it is moved throughout the coordinate plane.

6 0

3 years ago