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bixtya [17]
3 years ago
12

A direct variation includes the points (21,7) and (27,Y. Findvalue of y.​

Mathematics
1 answer:
rjkz [21]3 years ago
3 0

Answer:

13

Step-by-step explanation:

5 has been added by the 21 to make 27 to leave with adding 5 to old y and leaving the new variable y 13

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2times 5 to the power of 2
Bumek [7]
You do 2(5)^2 and the answer is 50

3 0
3 years ago
HELP I NEED SOMBODEY HELP NOT JUST ANYONE JK HELP ME PLSSSSS
tatuchka [14]
You cross multiply/butterfly method so 5•6= 30 and 5•8=40 so it would be 30/40 OR 3/4 simplified
8 0
3 years ago
I already found the vertex, but can someone help me find the latus rectum of this parabola?
Fofino [41]

Answer:

Step-by-step explanation:

y=x²+7

vertex(0,7)

the length of latus rectum in a parabola equal to four times the focal length :

y=x²+7

focus X=-b/2a=0

focus Y=c- (b²-1)/4a=7+1/4=29/4

focus (0 , 29/4)

latus rectum is 29/4

(x-h)^2 = 4p (y-k)   4p is the length of the latus rectum with vertex(0,7)

(0-0)²=4p(29/4-7)

0=29p-28p=1p

the length of the latus rectum is 1

8 0
2 years ago
Read 2 more answers
Add the expressions four -2/3 B +1/4 a and 1/2 a+1/6b-7. What is the simplified some?
anzhelika [568]

Answer:

I tried the question and I got. a/4-b/2-5/2

Step-by-step explanation:

I hope this helps

3 0
3 years ago
Evaluate the integral ∫2−1|x−1|dx
defon

I think you might be referring to the definite integral,

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx

Recall the definition of absolute value:

|x| = \begin{cases}x&\text{if }x\ge0\\-x&\text{if }x

Then |x-1|=x-1 if x\ge1, and |x-1|=1-x is x. So spliting up the integral at <em>x</em> = 1, we have

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \int_{-1}^1(1-x)\,\mathrm dx + \int_1^2(x-1)\,\mathrm dx

The rest is simple:

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \left(x-\dfrac{x^2}2\right)\bigg|_{-1}^1 + \left(\dfrac{x^2}2-x\right)\bigg|_1^2 \\\\ = \left(\left(1-\frac12\right)-\left(-1-\frac12\right)\right) + \left(\left(2-2\right)-\left(\frac12-1\right)\right) \\\\ = \boxed{\frac52}

5 0
3 years ago
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