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Law Incorporation [45]
2 years ago
5

The area of the rectangular floor of a shed is 40 space y d squared. The length of the shed is (x+2) yd and the width of the she

d is (x-1) yd. Find the dimensions of the shed. Provide justification for each step. You can use the Sketch tool, or hand-write your algebraic proof, or type your answer. But you need to provide all the steps, with justification for each step, to get credit for this problem.
Mathematics
1 answer:
mel-nik [20]2 years ago
7 0

Answer:

x=3

Step-by-step explanation:

3 squared is 9. 9 plus 2 times 2=22 each of the sides on the angle are 11. 22 plus 22= 44. then 3 -1 equals 2. 44 minus 4 equals 40. equaling the area

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3 years ago
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the
zlopas [31]
1. The function h(t)=-16t^{2}+48t is a parabola of the form ax^{2}+bx. The the formula for the axis of symmetry of a parabola is x= \frac{-b}{2a}. We can infer from our function that a=-16 and b=48, so lets replace those values in our formula:
x= \frac{-b}{2a}
x= \frac{-48}{-2(16)}
x= \frac{-48}{-32}
x= \frac{3}{2}
x=1.5
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.

2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
0=-16t^{2}+48t
-16t(t-3)=0
t=0 or t-3=0
t=0 or t=3
From our previous point we know that the ball reaches its maximum time at t=1.5, which means that <span>it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>

7 0
3 years ago
Read 2 more answers
-----40 POINTS--------
andrey2020 [161]

Proof

Provide the missing reasons for the proof of part of the triangle midsegment theorem.

Given: K is the midpoint of MJ.

           L is the midpoint of NJ.

Prove: MN = 2KL

The complete answer is attached in the diagram below.

The complete answer for the missing reasons is attached below in the diagram.

Please check the figure.

Keywords: statement, proof, reason

Learn more about statement, reason and proof from brainly.com/question/11081915

#learnwithBrainly

6 0
3 years ago
Read 2 more answers
What is the solution to the system x+y=10 3y=-3x+30<br><br> PLEASE helpppp
choli [55]

Answer:

Step-by-step explanation:

x+y=10

x=10-y

x=10-5

x=5

3y= -3x+30

3(10-y)= -3(10-y)+30

30-3y= -30+3y+30

30+30-30=6y

30=6y

y=5

6 0
3 years ago
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