All categories

4 years ago

What is the following expression when simplified 5x + 8(5 + 2x)?

Mathematics

2 answers:

denpristay [2]4 years ago

6 0

Answer:

5x+56

Step-by-step explanation:

5x+8(5+2)

5x+8(7)

ludmilkaskok [199]4 years ago

4 0

21x + 40

Step-by-Step:

1) Distribute the 8 to both the 5 and 2x by multiplying.

5x + 40 + 16x

2) Combine like terms.

21x + 40

You might be interested in

Which equation can be used to calculate the area of the shaded triangle in the figure below?

GrogVix [38]

Answer:

It is $\frac{1}{2}$ (12 × 4) = 24

Step-by-step explanation:

$\frac{1}{2}$ (base × height) = area of triangle

$\frac{1}{2}$ (12 × 4) = area

area = 24

3 0

2 years ago

under which of the following operations are the polynomials 8a 14 and 3b - 9 not closed? a. subtraction b. multiplication c. add

Alex787 [66]

<span>I think it's a. subtraction.</span>

8 0

3 years ago

HELP!!!!!! . GIVEN THE INFORMATION BELOW, Fino AC

LekaFEV [45]

Answer:the answer is B

Step-by-step explanation:

8 0

3 years ago

Would appreciate the help !

aleksandr82 [10.1K]

This is one pathway to prove the identity.

Part 1

$\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{1}{\tan(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\cot(\theta) = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{\cos(\theta)}{\sin(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)*\sin(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)(1-\cos(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\$

Part 2

$\frac{\sin^2(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)-\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-(\cos(\theta)-\cos^2(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-\cos(\theta)+\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\$

Part 3

$\frac{\sin^2(\theta)+\cos^2(\theta)-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1}{\sin(\theta)} = \frac{1}{\sin(\theta)} \ \ {\checkmark}\\\\$

As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.

We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity $\sin^2(\theta)+\cos^2(\theta) = 1$ in the second to last step. I broke the steps into three parts to hopefully make it more manageable.

3 0

3 years ago

Which is greater 525 centimeters or 5 meters ?

zubka84 [21]

525 centimeters is greater than 5 meters. 525 cm = 5.25 m

Thus, 525 cm is greater than 5 meters.

4 0

3 years ago

Read 2 more answers