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Lemur [1.5K]
3 years ago
15

8) This cone and sphere have equal volumes. Find the radius Cone:32 radius Height:27

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0

sorry I don't know if I know I would surely say u

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SV is a midsegment of △RTU.<br> If TU=y+38 and SV=y–9, what is the value of y?
pav-90 [236]

Answer:

y = 56

Step-by-step explanation:

the midsegment SV is half the length of the side TU , that is

y - 9 = \frac{1}{2} (y + 38) ← multiply both sides by 2 to clear the fraction

2y - 18 = y + 38 ( subtract y from both sides )

y - 18 = 38 ( add 18 to both sides )

y = 56

8 0
2 years ago
Solve system of equations 2x + 2y + 5z = 7 6x + 8y + 5z = 9 2x + 3y + 5z = 6
svet-max [94.6K]

Answer:

the values of x, y and z are x= 2, y =-1 and z=1

Step-by-step explanation:

We need to solve the following system of equations.

We will use elimination method to solve these equations and find the values of x, y and z.

2x + 2y + 5z = 7     eq(1)

6x + 8y + 5z = 9     eq(2)

2x + 3y + 5z = 6     eq(3)

Subtracting eq(1) and eq(3)

2x + 2y + 5z = 7

2x + 3y + 5z = 6

-    -       -        -

_____________

0 -y + 0 = 1

-y = 1

=> y = -1

Subtracting eq(2) and eq(3)

6x + 8y + 5z = 9    

2x + 3y + 5z = 6    

-     -      -          -

______________

4x + 5y +0z = 3    

4x + 5y = 3      eq(4)

Putting value of y = -1 in equation 4

4x + 5y = 3

4x + 5(-1) = 3

4x -5 = 3

4x = 3+5

4x = 8

x= 8/4

x = 2

Putting value of x=2 and y=-1 in eq(1)

2x + 2y + 5z = 7

2(2) + 2(-1) + 5z = 7

4 -2 + 5z = 7

2 + 5z = 7

5z = 7 -2

5z = 5

z = 5/5

z = 1

So, the values of x, y and z are x= 2, y =-1 and z=1

5 0
3 years ago
Fine the equation, in standard form, of the line passing through the points (3,-4) and (5,1)
Talja [164]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (3, -4) and (5, 1). Substitute:

m=\dfrac{1-(-4)}{5-3}=\dfrac{5}{2}\\\\y-(-4)=\dfrac{5}{2}(x-3)

The standard form: Ax+By=C

y+4=\dfrac{5}{2}(x-3)           <em>multiply both sides by 2</em>

2y+8=5(x+3)           <em>use distributive property</em>

2y+8=5x+15            <em>subtract 2y from both sides</em>

8=5x-2y+15          <em>subtract 15 from both sides</em>

-7=5x-2y

<h3>Answer: 5x - 2y = -7</h3>
5 0
3 years ago
What is the x and y intercepts Of “ -2y=3x-6 “ ?
vesna_86 [32]

-2y=3x-6\ \ \ \ |:(-2)\\\\y=-1.5x+3

It's a slope-intercept form where a slope = -1.5 and y-intercept = 3.

x - intercept: y = 0

Therefore we have the equation:

-1.5x + 3 = 0    |-3

-1.5x = -3     |:(-1.5)

x = 2

Answer: x-intercept = 2, y-intercept = 3

5 0
3 years ago
[x^2+2y]^3<br> expand it
777dan777 [17]

(a + b) {}^{3}  = a {}^{3}  + 3a {}^{2} b + 3ab {}^{2}  + b {}^{3}  \\  \\ x {}^{6}  + 6x {}^{4} y + 12x {}^{2} y {}^{2}  + 8y {}^{3}

8 0
3 years ago
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