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3 years ago

Use the distributive property to write an equivalent expression.

Mathematics

1 answer:

Tasya [4]3 years ago

6 0

Answer:

32m + 24n

Step-by-step explanation:

Distribute the 8 to the other terms.

8(4m + 3n)

32m + 24n

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Determine the value of cot 36º.

elixir [45]

Answer:

Step-by-step explanation:

Use a table with trigonometric functions (look at the photo) or use the calculator knowing that:

$\cot\theta=\dfrac{1}{\tan\theta}=\left(\tan\theta\right)^{-1}$

4 0

3 years ago

Derivative of these questions<br>

shtirl [24]

Answer: $\bold{y'=\dfrac{1}{2(a-b)^2}\bigg(\dfrac{1}{\sqrt{x+a}}+\dfrac{1}{\sqrt{x+b}}\bigg)}$

<u>Step-by-step explanation:</u>

$y=\dfrac{1}{\sqrt{x+a}-\sqrt{x+b}}\\\\\\\text{Rationalize the denominator:}\\y=\dfrac{1}{\sqrt{x+a}-\sqrt{x+b}}\bigg(\dfrac{\sqrt{x+a}+\sqrt{x+b}}{\sqrt{x+a}+\sqrt{x+b}}\bigg)\\\\\\y=\dfrac{\sqrt{x+a}+\sqrt{x+b}}{x+a-x-b}\\\\\\y=\dfrac{\sqrt{x+a}+\sqrt{x+b}}{a-b}\\\\\\\text{Apply the derivative (derivative of the numerator (top) divided by the}\\\text{denominator (bottom) squared).}$

$\text{Derivative of }\sqrt{x+a}\quad \rightarrow \quad (x+a)^{\frac{1}{2}}\quad = \quad \dfrac{1}{2}(x + a)^{-\frac{1}{2}}\\\\\text{Derivative of }\sqrt{x+b}\quad \rightarrow \quad (x+b)^{\frac{1}{2}}\quad = \quad \dfrac{1}{2}(x + b)^{-\frac{1}{2}}\\\\\\\text{Derivative of}\ \dfrac{\sqrt{x+a}+\sqrt{x+b}}{a-b}:\\\\= \dfrac{\dfrac{1}{2}(x + a)^{-\frac{1}{2}}+\dfrac{1}{2}(x + b)^{-\frac{1}{2}}}{(a-b)^2}$

$\text{Factor out }\dfrac{1}{2}\ \text{from the numerator:}\\\\\dfrac{(x+a)^{-\frac{1}{2}}+(x+b)^{-\frac{1}{2}}}{2(a-b)^2}\\\\\\\text{Move the terms with negative exponents to the denominator:}\\\\=\dfrac{1}{2(a-b)^2}\bigg(\dfrac{1}{\sqrt{x+a}}+\dfrac{1}{\sqrt{x+b}}\bigg)$

3 0

4 years ago

The sphere below has a radius of 25 cm.

Colt1911 [192]

Answer:

65449.8 cm3

Step-by-step explanation:

We start with the volume formula for a sphere: 4/3 πr3

We start with subbing in 25 to r, then we cube 25, which is equal to 15625.

We multiply 4/3 and pi. And lastly we multiply what we got by 15625 and either round the answer or fphaving fixed your calculator.

5 0

2 years ago

Your interest rate is compounded annually. Beginning Balance: $1,166.40. Annual Interest Rate: 8% How much will you earn in inte

konstantin123 [22]

Answer:

93.31200 dollars

Step-by-step explanation:

8% of 1166.40

4 0

3 years ago

a point -2, 6 is rotated clockwise about the origin by 90° and this image is reflected in the x-axis is Define set point is labe

Helen [10]

Answer:wow

Step-by-step explanation:

4 0

3 years ago