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yawa3891 [41]
2 years ago
7

Which is an equation of a direct proportion

Mathematics
1 answer:
Over [174]2 years ago
6 0
K = y/x OR y = kx

hope it helps!
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Choose one of the factors of 500x3 + 108y18
sammy [17]

Answer:

Option C

Therefore, one of the factors of 500x^3 +108y^\left (18\right ) is (5x+3y^6).

Step-by-step explanation:

Given: 500x^3 +108y^\left (18\right )

the common factor from 500x^3 and 108y^\left (18\right ) is 4.

therefore, 4\cdot \left ( 125x^3+27y^\left (18\right ) \right )

4\cdot \left ( (5x)^3+(3y^6)^3 \right))

Now, use the formula for above expression: (a^3+b^3)=(a+b)(a^2-ab+b^2)

here, a=5x and b=3y^6

( (5x)^3+(3y^6)^3 \right))=(5x+3y^6)(25x^2-15xy^6+9y^12)

Therefore, we have

500x^3 +108y^\left (18\right )=4\cdot (5x+3y^6)\left (25x^2-15xy^6+9y^\left ( 12 \right )  \right )

Therefore, one of the factors of 500x^3 +108y^\left (18\right ) is (5x+3y^6).








7 0
3 years ago
Read 2 more answers
Pls explain how you figured out both questions
Mariana [72]

Answer:

A=0.125

B=0.125

Step-by-step explanation

for both you would divide 0.5 by 4. you would cut 0.125 off of each side, but two sides together would 0.25

6 0
3 years ago
Find the value of x. Round <br> the nearest tenth.
4vir4ik [10]

Answer:

x = 21.4

Step-by-step explanation:

We need to use the law of sins

sin 42       sin x

--------- = ----------

22              12

12 sin 42 = 22 sin x

12 sin 42 /22 = sin x

Taking the inverse sin of each side

sin^-1(12/22 sin 42) = sin^-1(sin x)

21.40637223 =x

To the nearest tenth

x = 21.4

5 0
3 years ago
If two lines are perpendicular, their slopes are negative reciprocals.<br> A. True<br> B.False
Ainat [17]
A. If the slopes of two lines are negative then the reciprocals, of the lines are perpendicular.
8 0
2 years ago
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Find the exact value of cos(-7pi/4 radian).
nata0808 [166]
<span>cos<span>[<span><span>7pi/</span>4</span>]</span></span>=<span>cos<span>(2pi−pi<span>4</span>)
</span></span>               =<span>cos<span>(−pi/<span>4</span>)
</span></span>               =<span>cos<span>(pi<span>4</span>)
</span></span>               =<span><span><span>√2/</span>2</span></span>
8 0
3 years ago
Read 2 more answers
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