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alukav5142 [94]
3 years ago
5

What is the total volume of the solid?

Mathematics
1 answer:
matrenka [14]3 years ago
3 0

Answer:3028

Step-by-step explanation:

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Find the inverse of f(x)=(x−5)/(−4x−2)
uysha [10]

Answer:

{f}^{ - 1} (x)= \frac{  5 - 2x }{ 4x  + 1}

Step-by-step explanation:

The given rational function is

f(x) =  \frac{x - 5}{ - 4x - 2}

Let

y =  \frac{x - 5}{ - 4x - 2}

Interchange x and y

x=  \frac{y- 5}{ - 4y - 2}

Cross multiply

x( - 4y - 2)= y- 5

Expand

- 4xy   - 2x= y- 5  \\ - 4xy  - y=  2x - 5 \\y( - 4x - 1)=  2x - 5

Solve for y;

y= \frac{  2x - 5}{ - 4x - 1}

or

y= \frac{  5 - 2x }{ 4x  + 1}

Therefore

{f}^{ - 1} (x)= \frac{  5 - 2x }{ 4x  + 1}

7 0
3 years ago
HELP PLEASE!!! I need help with this question!
AlexFokin [52]

Answer:

\large\boxed{PS=10\sqrt5}

Step-by-step explanation:

ΔPQS, ΔRQP and ΔRPS are similar (AA). Therefore the sides are in proportion:

\dfrac{QR}{RP}=\dfrac{RP}{RS}

We have:

QR=5,\ RS=20

Substitute:

\dfrac{5}{RP}=\dfrc{RP}{20}                <em>cross multiply</em>

RP^2=(5)(20)\\\\RP^2=100\to RP=\sqrt{100}\\\\RP=10

Use the Pythagorean theorem:

PS^2=PR^2+RS^2

Substitute:

PS^2=10^2+20^2\\\\PS^2=100+400\\\\PS^2=500\to PS=\sqrt{500}\\\\PS=\sqrt{100\cdot5}\\\\PS=\sqrt{100}\cdot\sqrt5\\\\PS=10\sqrt5

6 0
3 years ago
BRAINLIEST.In which quadrant does the point (-5, 21) lie?
DanielleElmas [232]

Answer:

Point (-5,21) would end up in quadrant II (2).

Step-by-step explanation:

It would end up in quadrant 2 because x=-5 which means it would go left.

y=21 which means it would go up.

Because of this, the point would end up in the top left of the graph which is quadrant 2.

4 0
2 years ago
Please help me evaluate the expression 10a + 7 if a =1/5
sattari [20]

Answer:

9

Step-by-step explanation:

10a+7

<u>10(1/5)</u> + 7

<u>2+7</u>

9

6 0
3 years ago
Rain began failling at 2:18 . It rained for 1 hour and 36 minutes
prisoha [69]

Answer:

It stopped raining at 3:54

Step-by-step explanation:

4 0
3 years ago
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