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2 years ago

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When x is 4, y is 12. If y varies directly as x, which equation relates x and y?

1 answer:

zubka84 [21]2 years ago

5 0

Answer:

12/4

Step-by-step explanation:

y varies directly with x basically means y÷x so you will have to divide the variables together. In other words, it basically means y varies proportionally as x

so in this case, it would be 12 divided by 4 resembling that y varies directly as x

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lutik1710 [3]

A. 333.45 square inches

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2 years ago

What are the intercepts of the line 3x – 15y = 60? A. x-intercept: –4; y-intercept: 20 B. x-intercept: –3; y-intercept: 15

geniusboy [140]

<span>3x – 15y = 60

y-intercept x = 0</span>
3(0)– 15y = 60
-15y = 60
y = -4

x-intercept y = 0
3x– 15(0) = 60
3x = 60
x =20

answer :

<span>C. x-intercept: 20; y-intercept: –4</span>

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2 years ago

Binomial Theorem, proof

IrinaVladis [17]

It follows from the definition of the binomial coefficient:

$\dbinom nr=\dfrac{n!}{r!(n-r)!}$

So we have

$(n+1)\dbinom nr=(n+1)\dfrac{n!}{r!(n-r)!}=(r+1)\dfrac{(n+1)!}{(r+1)!(n-r)!}$

That is, $(n+1)$ gets absorbed into the numerator's factorial, and we introduct $(r+1)$ into the denominator. Now, $(n+1)-(r+1)=n-r$ , so we get

$(n+1)\dbinom nr=(r+1)\dfrac{(n+1)!}{(r+1)!((n+1)-(r+1))!}=(r+1)\dbinom{n+1}{r+1}$

as required.

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2 years ago

Help!!!!!!!!!!!!!!!!!!!!!!!!

kozerog [31]

She did not multiply both sides of the equation by 2.

2x-6y =-2
<u>+ 2x+6y=3
</u><u /> 4x =1

x=1/4
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3 0

2 years ago

If ab = 8 and a^2+b^2=16, then what is the value of (a+b)^2?

aksik [14]

$ab = 8$ & $a^{2} + b^{2} = 16$ so , $( a+b )^{2} = 32$ .

<u>Step-by-step explanation:</u>

Here we have , ab= 8 & a^2+b^2=16 i.e. $ab = 8$ and $a^{2} + b^{2} = 16$ .

We need to find value of (a+b)^2 i.e. $(a+b)^{2}$ :

It's and identity and we know that $( a+b )^{2} = a^{2} +b^{2} +2ab$

⇒ $( a+b )^{2} = a^{2} +b^{2} +2ab$

⇒ $( a+b )^{2} = (a^{2} +b^{2}) +2(ab)$

⇒ $( a+b )^{2} = (16) +2(8)$

⇒ $( a+b )^{2} = (16) +(16)$

⇒ $( a+b )^{2} = 32$

∴ $ab = 8$ & $a^{2} + b^{2} = 16$ so , $( a+b )^{2} = 32$ .

6 0

2 years ago