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andrew11 [14]
3 years ago
9

Y and X vary directly. If the constant of variation is 4,then what is the value of x when y=6?

Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0

\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ k=4\qquad \boxed{y=4x}\qquad \qquad \textit{when y=6}~\hfill 6=4x\implies \cfrac{6}{4}=x\implies \cfrac{3}{2}=x

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Can you find both the value of x and y? It is a 30-60-90 triangle
Juli2301 [7.4K]

Answer:

x = 8*root3

y = 16

Step-by-step explanation:

You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:

the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!

Another shortcut:

The longer leg is the shorter leg × root3.

This ALWAYS works on 30°-60°-90° triangles.

So on your triangle, the short side is 8, that means the longer leg is 8×root3.

ta-daaaa!

3 0
2 years ago
7 × (–3) × (–2)2 = ? <br><br> A. 84<br> B. 48<br> C. –84<br> D. –48
Dahasolnce [82]


7 × (-3) ×(-2)2 =

7 × -3 × -4 = (you have to eliminate all parenthesis in the equation.)

7 × -12 = -84

so your answer would be: C

3 0
3 years ago
Read 2 more answers
A 176 inch pole is leaning up against a wall, but is sliding down the wall so that the vertical distance between the top of the
natta225 [31]

Answer:

... Wall, But Is Sliding Down The Wall So That The Vertical Distance Between The Top Of The Pole And The Floor Is Decreasing At A Rate Of 4 Inches Per Second. How Fast Is The Horizontal Distance Between The Bottom Of The Pole And ... A 176 inch pole is leaning up against a wall, but is sliding down the wall so that the ...

Step-by-step explanation:

3 0
3 years ago
Will upvote
shepuryov [24]
\frac{a^{12}b^{8}}{a^{2}b^{4}}



remember
(ab)/(cd)=a/c times b/d

also \frac{x^{m}}{x^{n}}= x^{m-n}

split it up with like terms

\frac{a^{12}}{a^{2}} times \frac{b^{8}}{b^{4}}

do subtraction
for a's
12-2=10

b's
8-4=4

answe is a^{10}b^{4}

first one

5 0
3 years ago
Read 2 more answers
Please help me on this one
horrorfan [7]
Answer=5
a=9 , b=6 , c=3 so 9+6= 15 , 15/3 = 5
3 0
3 years ago
Read 2 more answers
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