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1 year ago

A quantity y varies inversely with the square of x. If y=8 when x=3, find y when x is 4

Mathematics

1 answer:

choli [55]1 year ago

7 0

Answer:

look at the explanation

Step-by-step explanation:

In order to solve this, we'll set up a proportion.

Since y is inversely related to the square of x, therefore:

y=4/63 ----->9 (square of x)

y=?

25 (square of x)

According to the inverse relation:

y=4/63------->25

y=? --------

-->9 and y=4/175

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On Monday you read 3 pages.

spin [16.1K]

Answer:

27 pages

Step-by-step explanation:

Since you read 3 pages on Monday and you read 3 times that number on Tuesday, the equation should be 3*3 to equal 9. Then, since you read 9 pages on Tuesday and 3 times that number on Wednesday, the equation should be 9*3 to equal 27 pages. So, on Wednesday, you read 27 pages in total.

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2 years ago

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The slope of the line below is -1. write the point-slope equation of the line using the coordinates of the labeled point.

omeli [17]

Answer:

y+9=-1(x-4)

Step-by-step explanation:

Point Slope Form is:

$y-y_1=m(x-x_1)$

When:

'm' is the slope.

$(x_1,y_1)$ is the coordinate.

We are given the slope of -1 and the coordinate of (4,-9).

So:

$m=-1\\x_1=4\\y_1=-9$

Using the information and replacing the values we get:

$y+9=-1(x-4)$

So, the line equation in point slope form should be: y+9=-1(x-4)

Brainilest Appreciated.

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2 years ago

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Is 16% of 40 the same as 40% of 60? Explain your reasoning.

o-na [289]

No 16% of 40 is 32/5 where 40%of 60 is 24.
Hope this helps.

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2 years ago

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Rename 1/2 and 1/5 using the least common denominator.

gladu [14]

C multiply 1/2 by 10 and 1/5 by 2

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3 years ago

Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

$\sf\longrightarrow 6x +ay -18 = 0$

Step 1 : Convert the equations in slope intercept form of the line .

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$