What is the length of missing side b in the figure below?
What is the length of missing side b in the - 1

Answers

Answer 1
Answer: according to the theory
b^2 = (13)^2 - (7)^2
b^2 = 169 - 49 = 120
b= root(120)
b= 10.95 cm
Answer 2
Answer: If you use the Pythagorean theorem you get 10.95cm, which is also the square root of 120.

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The formula for the volume of w sphere is v=4\3 r3 what is the formula solved for r?

Answers

V of w sphere = (4)/(3)\pi
Multiply by 3 on either sides to get rid of the fraction.
V * 3 = (4)/(3) *3 \pi r^3
3V = 4\pi
Now divide either sides by 4\pi to isolate r³
(3V)/(4 \pi ) = (4 \pi )/(4 \pi )
4\pi and 4\pi cancels out
(3V)/(4 \pi ) = r³
Take the cube root to isolate r.
\sqrt[3]{ (3V)/(4 \pi ) } = \sqrt[3]{r^3}
the cube root cancels the cube

\sqrt[3]{ (3V)/(4 \pi ) } = r

Write the number 144 as a row of prime numbers multiplied together

Answers

144= 2*2*3*2*2*3=2^(4)*3^2

The slope of AB and CD is 3/5 and the slope of BC and AD is -5/3. ABCD is a parallelogram. True or False?

Answers

no i believe it is not...correct me if i am wrong

What are the x-intercepts of the function f(x) = –2x2 – 3x + 20?(–4, 0) and
and (4, 0)
(–5, 0) and (2, 0)
(–2, 0) and (5, 0)

Answers

If you would like to find the x-intercepts of the function f(x) = - 2 * x^2 - 3 * x + 20, you can calculate this using the following steps:

f(x) = - 2 * x^2 - 3 * x + 20
f(x) = - (2x - 5) * (x + 4)
1. x = - 4
2. x = 5/2

(x, y) = (-4, 0)

The correct result would be (-4, 0).

The x-intercepts of the given function are (2.5, 0) and (-4, 0)

Solving quadratic equations

From the question, we are to determine the x-intercepts of the given function

The given function is

f(x) = –2x² – 3x + 20

To determine the x-intercepts of the function, we will determine its zeros

That is, we would solve

0 = –2x² – 3x + 20

This can be rewritten as

2x² + 3x - 20 = 0

Solve by factoring

2x² + 8x - 5x - 20 = 0

2x(x + 4) -5(x + 4) = 0

Then,

(2x - 5)(x +4) = 0

2x - 5 = 0 OR x +4 = 0

2x = 5 OR x = -4

x = 5/2 OR x = -4

x = 2.5 OR x = -4

Hence, the x-intercepts of the function are (2.5, 0) and (-4, 0)

Learn more on Solving quadratic equations here: brainly.com/question/14490818

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What is the solution to 3x-y=4 and 2y+x=11

Answers

3x -  1y =   4 ⇒ 9x -  3y = 12
1x + 3y = 11 ⇒ 1x + 3y = 11
                               10x = 23
                                10     10
                                   x = 2.3
                            3x - y = 4
                      3(2.3) - y = 4
                          6.9 - y = 4
                        - 6.9       - 6.9
                                 -y = -2.9
                                 -1     -1
                                  y = 2.9
                            (x, y) = (2.3, 6.9)

Solve: ∫e^u/(1−eu)^2​du

Answers

Answer:

Hi,

Step-by-step explanation:

Let's\ say\ v=1-e^u \n\n\displaystyle \int\limits {\frac{e^u } { (1-e^u)^2 }} \, du \n\n\n=\int\limits {(1)/(v^2) } \, dv \ \n\n=-(1)/(u) +C\n\n=-\frac{1 } { 1-e^u } + C