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marusya05 [52]
3 years ago
13

Quadrilateral QRST is an isosceles trapezoid. Q(-3,-2); S(3,2); T(5,-2). what would point R be?

Mathematics
1 answer:
MariettaO [177]3 years ago
3 0
Here it is graphed... But I'm not sure what the x value of R would be... I know its Y value is 2

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Type the correct answer in each box. (____)
trapecia [35]

Answer:

1. -16; 2. +64; 3. 16

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²x

Data:

r = (x - 8)   mm

V = 1024π mm³

Calculations:

1. Find the cubic equation  

V = πr²h

1024π = π(x - 8)² × x

Divide each side by π

1024 = x(x - 8)²  

1024 = x(x² - 16x  + 64)

1024 =    x³ - 16x² + 64x

x³ - 16x² + 64x - 1024 = 0

2. Solve the cubic equation

The general formula for a third-degree polynomial is

f(x) = ax³ + bx² + cx + d

Your polynomial is  

f(x) = x³ - 16x² + 64x - 1024

a = 1; d = -1024

According to the <em>rational roots theorem</em>, the possible roots are

factors of d/factors of a

Factors of d = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

Factors of a = ±1

Potential roots are x = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

That's a lot of possibilities to check by trial and error. I will just use the one that works.

Try x = 16 by synthetic division.

16|1  -16   64  -1024

  <u>|     16     0   1024 </u>

   1     0   64        0

So,

(x³ - 16x² + 64x - 1024)/(x – 16) = x² + 64

and

(x - 16)(x² + 64) = 0

x - 16 = 0        x² + 64 =    0

     x = 16       x²         = -64

                       x          =  ±8i

There is only one real root: x = 16 mm

6 0
3 years ago
Pls help me will mark brainliest
iVinArrow [24]

Answer:

34.84

Step-by-step explanation:

5.2 times 6.7= 34.84

5 0
3 years ago
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Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unkno
melomori [17]
Mid point formula =
(x1/2+x2/2, y1/2+y2/2)

x=
x+0 = 8
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y=
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y-2 =1 x2
y=2+2
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(16,4)

(In this case, the midpoint (x ,y) will be represent as the answer)
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What is the percent rate of change in function y=(0.96)^x? Determine Whether The Function Represents Exponential Growth Or Expon
mihalych1998 [28]
B
The original value will be multiplied by 0.96 each time, making it 4% less than what it was.
3 0
3 years ago
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Hey I don’t understand this question either please help me out :(
Vladimir [108]

Answer:

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Step-by-step explanation:

first sub in 24 into the d (days)

then solve for L (length) from there with addition.

hope this helps!!

5 0
2 years ago
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