Step-by-step explanation:
1. In PQN & SRT.
a. <RST=<QPN (corresponding angle PQllSR)
b. <STR = <PNQ (corresponding angle TRIINQ)
c. TR=QN (Since TN & QN are opp. Side of parallelogram QNTR)
d. .°.PQN~=SRT.
2.PQN=PSOQ+SNO (whole part axiom)
3.SRT = SNO + NTRO(same as above)
4. PQN=SRT (From st. 1d)
or, PS0Q+SNO =SNO + NTRO (Cancellation of SNO)
or, PS0Q=NTRO
or, PSOQ +QOR=NTRO +QOR (Adding QOR on both side)
or, .°.◼️PQRS = ◼️QRTN
Best of luck!!!!.
Answer:
Given function:
f(t) = (-16t - 2)(t - 1)
<h3><u>Part 1</u></h3>
The zeros of the function are the values of t when f(t) = 0
⇒ f(t) = 0
⇒ (-16t - 2)(t - 1) = 0
⇒ (t - 1) = 0 ⇒ t = 1
⇒ (-16t - 2) = 0 ⇒ t = -2/16 = -1/8
<h3><u>Part 2</u></h3>
The zeroes tell us the time (in seconds) when the ball is at ground level (when its height is zero).
Since time is not negative, only one zero is meaningful: t = 1
Therefore, the total journey of the ball, from throwing it to it hitting the ground, is 1 second.
<h3><u>Part 3</u></h3>
The height the ball is thrown can be determined by inputting t = 0 into the function:
⇒ f(0) = (-16(0) - 2)(0 - 1)
⇒ f(0) = (0 - 2)(0 - 1)
⇒ f(0) = (-2)(-1)
⇒ f(0) = 2
Therefore, the height from which the beach ball is thrown is 2 ft.
Answer:
<u>x = 8</u>
Step-by-step explanation:
The sides are in proportion.

- 40 / 7x + 14 = 44 / 33 + 44
- 40 / 7x + 14 = 44/77 = 4/7
- 40(7) = 4(7x + 14)
- 280 = 28x + 56
- 10 = x + 2
- <u>x = 8</u>
Answer:
2/3 to the power 8
Step-by-step explanation:
Power : 2 + 6 = 8
Answer: Choice D
(0,-4) (4,0) and (-1,-5)
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Explanation:
Plug in x = -4
y = x-4
y = -4-4
y = -8
The point (-4,-8) is on the line instead of (-4,0). This rules out choice A and choice B.
Now plug in x = 1
y = x-4
y = 1-4
y = -3
We get (1,-3) instead of (1,5). So we can rule out choice C.
The answer must be choice D.
The graph is below.