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nydimaria [60]
3 years ago
6

Y varies directly affects if y equals negative five when x equals 15 find X when y equals three

Mathematics
1 answer:
Anni [7]3 years ago
6 0
Well,

We are given a direct proportion problem.

x varies directly as y.

\frac{x}{y}

When y = -5, x = 15.
\frac{15}{-5} \ or\  \frac{3}{-1}

Now, we are told to find x when y = 3.

\frac{x}{3}

We just have to recognize that the complete case is equal to the incomplete case.  In other words, we set the -3 equal to the x/3.

\frac{3}{-1} =  \frac{x}{3}

Multiply both sides by the LCM.
LCM of -1 and 3 = 3

-9 = x

When y = 3, x = -9.
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I need to know how to solve this anyone?
swat32

I can't make out what the radius of the sphere is, but the equation you're looking for is:

V=\frac{4}{3}\pi r^3

For example:

If the radius of a sphere is 5 m, it's volume would be,

V=\frac{4}{3}\pi (5)^3

V=\frac{4}{3} (3.14)(5)^3

V=\frac{4}{3}(3.14)(125)

V=523.6 m^3

7 0
3 years ago
Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9.
motikmotik

Hey there!

Line passes through (4, -1) & is parallel to 2x -3y=9

Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope.

The given equation needs to be converted into slope-intercept form and we can do this by getting y onto its own side of the equal sign.

Start off by subtracting 2x from both sides.

-3y = -2x + 9

Then, divide both sides by -3.

y = (-2x + 9)/-3

Simplify.

y = 2/3x - 3

"M" is simply a place mat so if we look at our given line, the "m" value is 2/3. Therefore, our slope is 2/3.

We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our new line has a slope of 2/3.

Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (4, -1). Our new slope is 2/3 & it passes through (4, -1).

y-y₁=m(x-x₁)

Let's start by plugging in 2/3 for m (our new slope), 4 for x1 and -1 for y1.

y - (-1) = 2/3(x - 4)

Simplify.

y + 1 = 2/3 + 8/3

Simplify by subtracting 1 from both sides.

y = 2/3x + 8/3 - 1

Simplify.

y = 2/3x + 5/3

~Hope I helped!~

7 0
4 years ago
The volume of a cone is cubic inches. Its height is 12 inches. What is the radius of the cone?
ArbitrLikvidat [17]

Answer: 4.22

Step-by-step explanation:

7 0
4 years ago
I need help on this!
erastovalidia [21]

Answer:

1:20

Step-by-step explanation:

Imagine taking 15 minutes off of 55 minutes, that will make it 40 minutes. So you are at 2:00 right now. Subtract the remaining 40 minutes and you will get 1:20

6 0
3 years ago
Please help i have no clue
kozerog [31]

Answer:

Step-by-step explanation:

Question (1)

x² + 10x + 12

= x² + 2(5x) + 5² - 5² + 12

= [x² + 2(5x) + 5²] - 5² + 12

= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]

= (x + 5)² - 13

Question (2)

y² - 6y - 15

= y² - 2(3y) - 15

= y² - 2(3y) + 3² - 3² - 15

= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]

= (y - 3)² - 3²- 15

= (y - 3)² - 9 - 15

= (y - 3)² - 24

6 0
3 years ago
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