All categories

3 years ago

Simplify each expression -3m + 16 - (-13m) 15y - 20y + 15

Mathematics

1 answer:

posledela3 years ago

3 0

Answer:

10m + 16

-5y + 15

Step-by-step explanation:

-3m + 16 - (-13m) =

= -3m + 16 + 13m

= 10m + 16

15y - 20y + 15 =

= -5y + 15

You might be interested in

Prove that tan 10+tan 70'+taniou = tanio tanfo'tam 1oo.

Galina-37 [17]

Question:

Prove that:

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Answer:

Proved

Step-by-step explanation:

Given

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Required

Prove

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Subtract tan(10) from both sides

$- tan(10)+tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)$

$tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)$

Factorize the right hand size

$tan(70) + tan(100) = -tan(10)(-tan(70). tan(100) + 1)$

Rewrite as:

$tan(70) + tan(100) = -tan(10)(1-tan(70). tan(100))$

Divide both sides by $1-tan(70). tan(100)$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = \frac{-tan(10)(1-tan(70). tan(100))}{1-tan(70). tan(100))}$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10)$

In trigonometry:

$tan(A + B) = \frac{tan(A) + tan(B)}{1 - tan(A)tan(B)}$

So:

$\frac{tan(70) + tan(100)}{1 - tan(70)tan(100)}$ can be expressed as: $tan(70 + 100)$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10)$ gives

$tan(70 + 100) = -tan(10)$

$tan(170) = -tan(10)$

In trigonometry:

$tan(180 - \theta) = -tan(\theta)$

So:

$tan(180 - 10) = -tan(10)$

Because RHS = LHS

Then:

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$ has been proven

6 0

3 years ago

Pls help rlly easy xx

liberstina [14]

Answer:

divide both sides by 5c

$\frac{p + q}{5c}$

7 0

3 years ago

Read 2 more answers

What is the value of p ?

FinnZ [79.3K]

Answer:

45 degrees

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Solve for x using trigonometric ratios <br> 10 and 11 please

LUCKY_DIMON [66]

I’m on the same question I need help to???

5 0

4 years ago

Need help with this math problem

Leona [35]

Answer:

it going to be c becauase i did that

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers