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lisabon 2012 [21]
1 year ago
9

When x=-1 what is the value of y?

Mathematics
2 answers:
andrew11 [14]1 year ago
8 0

Answer:

Step-by-step explanation:

All we have to do is find the point on the line where x = -1. If we know this, we can see how high the point is (i.e., find it's y-value). Then, we would know the value of y.

If we draw a vertical line from where x equals -1, we see that it crosses the line at point (-1, 3). This means that we can draw a line from the point to the number -1 on the x-axis and another line from the point to the number 3 on the y-axis.

Hence, the y-value when x=-1 would be 3.

seropon [69]1 year ago
6 0

Answer: y=3

Step-by-step explanation:

The x-axis is on the horizontal line, and the y-axis is on the vertical line. On the horizontal line at -1, just go up until you find where y is located.

By doing this, you can find that y=3.

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.​
Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = 21m^3

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

V = \pi r^2h

Substitute 21 for V; this gives

21 = \pi r^2h

Divide both sides by h

\frac{21}{h} = \frac{\pi r^2h}{h}

\frac{21}{h} = \pi r^2

The next step is to solve for the volume of the sphere using the following formula;

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

Divide both sides by r

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

Expand Expression

\frac{V}{r} = \frac{4}{3}\pi r^2

Substitute \frac{21}{h} = \pi r^2

\frac{V}{r} = \frac{4}{3} * \frac{21}{h}

\frac{V}{r} = \frac{84}{3h}

\frac{V}{r} = \frac{28}{h}

Multiply both sided by r

r * \frac{V}{r} = \frac{28}{h} * r

V = \frac{28r}{h} ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

h = D , where D represents diameter of the sphere

Recall that D = 2r

So, h = D = 2r

h = 2r

Substitute 2r for h in equation 1

V = \frac{28r}{2r}

V = \frac{28}{2}

V = 14

Hence, the volume of the sphere is 14m³

4 0
3 years ago
Read 2 more answers
What is the answer to this question
Airida [17]

the answer would be 67,127 because the number in the ones would be 7 and the tens number would be 2 since it wouldn't more than 1.

67,102

67,135

     1-7

67,127

8 0
3 years ago
Find the value of x in the isosceles triangle shown below.
joja [24]
Answer: C. 10

Explanation:

Take half right triangle from the isosceles triangle:

We get side lengths:

12/2 = 6, 8, and x

And use Pythagorean’s theorem to find x:

6^2 + 8^2 = x^2
36 + 64 = x^2
100 = x^2
10 = x
7 0
2 years ago
If a figure is cube, then it has eight vertices
lesya692 [45]
Yes a cube has eight vertices
4 0
3 years ago
What is the simplified form of the quantity of x plus 6, all over the quantity of x plus 4 + the quantity of x minus 3, all over
Rina8888 [55]
\frac{x+6}{x+4}  +\frac{x-3}{3}

make denomenators the same

we have
x+4 and 3
times the fraction with x+4 in denomenator with the fraction 3/3
times the fraction with 3 in denomenator with the fraction x+4
we get
\frac{3x+18}{3x+12}  +\frac{x^2+x-12}{3x+12}
since common denoms, can add them to get
\frac{3x+18+x^2+x-12}{3x+12}
\frac{x^2+4x+6}{3x+12}
that is simplified


7 0
2 years ago
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