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3 years ago

If you’re ADDING same bases, then you should also ADD the exponents. True False

Mathematics

1 answer:

Arisa [49]3 years ago

6 0

False when you multiply numbers you add the exponents.

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A bedroom wall is 32 m wide and 54 m long. What is the total area of the wall? A can of paint will cover 12 sq. meter. How many

Alenkasestr [34]

Answer:

288

Step-by-step explanation:

Area of the wall = width x length = 32 x 54 = 1728 sq m

The number of cans for 1 coat = 1728/12 = 144 cans

The number of cans for 2 coats = 144 x 2 = 288 cans

7 0

3 years ago

Use a half-angle identity to find the exact value

Tatiana [17]

Given:

$\cos 15^{\circ}$

To find:

The exact value of cos 15°.

Solution:

$$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}$

Using half-angle identity:

$$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}$

$$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}$

Using the trigonometric identity: $\cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}$

$$=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}$

Let us first solve the fraction in the numerator.

$$=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}$

Using fraction rule: $\frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}$

$$=\sqrt{\frac {2+\sqrt{3}}{4}}$

Apply radical rule: $\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$$=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}$

Using $\sqrt{4} =2$ :

$$=\frac{\sqrt{2+\sqrt{3}}}{2}$

$$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}$

5 0

3 years ago

Solve the equation for x: c a−x/x−a =5x Answer: , a ≠ − 1/5

meriva

Answer:

$\large\boxed{x=-\dfrac{1}{5}}$

Step-by-step explanation:

$\dfrac{a-x}{x-a}=5x\\\\\dfrac{(a-x)}{-(a-x)}=5x\qquad\text{cancel}\ (a-x)\\\\-1=5x\qquad\text{divide both sides by 5}\\\\-\dfrac{1}{5}=\dfrac{5x}{5}\to\boxed{x=-\dfrac{1}{5}}$

7 0

4 years ago

Convert to standard form.<br> y-5=-3(x+2)

Paul [167]

Answer:

Step-by-step explanation:

y-5=3(x+2)

y-5=3x+6

y-5-6=3x+6-6

y-1=3x

7 0

4 years ago

Please help practice question

shtirl [24]

Its wrong for x = 2

y = (3/4) * 2^2 = 3 (NOT 4)

7 0

4 years ago