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BARSIC [14]
3 years ago
13

Name 2 angles that form a linear pair in the diagram.

Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0
I think it’s 2 and 3 but I could be wrong¯\_(ツ)_/¯
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The height h (in feet) of an object dropped from a ledge after x seconds can be modeled by h(x)=−16x2+36 . The object is dropped
kakasveta [241]

Check the picture below.

\bf ~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases}

so the object hits the ground when h(x) = 0, hmmm how long did it take to hit the ground the first time anyway?

\bf h(x)=-16x^2+36\implies \stackrel{h(x)}{0}=-16x^2+36\implies 16x^2=36 \\\\\\ x^2=\cfrac{36}{16}\implies x^2 = \cfrac{9}{4}\implies x=\sqrt{\cfrac{9}{4}}\implies x=\cfrac{\sqrt{9}}{\sqrt{4}}\implies x = \cfrac{3}{2}~~\textit{seconds}

now, we know the 2nd time around it hit the ground, h(x) = 0, but it took less time, it took 0.5 or 1/2 second less, well, the first time it took 3/2, if we subtract 1/2 from it, we get 3/2 - 1/2  = 2/2 = 1, so it took only 1 second this time then, meaning x = 1.

\bf ~~~~~~\textit{initial velocity in feet} \\\\ h(x) = -16x^2+v_ox+h_o \quad \begin{cases} v_o=\textit{initial velocity}&0\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&\\ \qquad \textit{of the object}\\ h=\textit{object's height}&0\\ \qquad \textit{at "t" seconds}\\ x=\textit{seconds}&1 \end{cases} \\\\\\ 0=-16(1)^2+0x+h_o\implies 0=-16+h_o\implies 16=h_o \\\\[-0.35em] ~\dotfill\\\\ ~\hfill h(x) = -16x^2+16~\hfill

quick info:

in case you're wondering what's that pesky -16x² doing there, is gravity's pull in ft/s².

4 0
3 years ago
Trevon had $24 to spend on 5 pens after buying them he had $4 how much did each pen cost
alexira [117]
Ok.You have 24$. You used 20$. And you have $4 left. You bought 5 pens. So $20.00/ 5=$4.00. Each pen is four dollars.
8 0
3 years ago
Find the measure of the arc indicated.<br> A) 144° <br> B) 150° <br> C) 130° <br> D) 131°
mariarad [96]

Answer:

Option B. 150\°

Step-by-step explanation:

we know that

In this problem

(15+15x)=(17x-3)

solve for x

17x-15x=15+3

2x=18

x=9

Find the measure of arc BC

arc\ BC=17x-3=17(9)-3=150\°

6 0
3 years ago
Which of the following linear expressions cannot be factored A.15x-10 B.4x+8 C.3x+8 D.2x-2
Igoryamba
Well of factors is defined as something that is able to go into the other, then th answer is C. 3 is not a factor of 8. the other fit in well.
for example, 15x-10. 5 is a factor which go into both.
4x+8. 4 is the HCF (highest common factor) which can go into both..
Answer is C.

Hope this helps :)
7 0
4 years ago
I have to go to a few places but my friend needs help with this specific equation!
Mrac [35]
They are adjacent and x=20
6 0
3 years ago
Read 2 more answers
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