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3 years ago

Combine like terms. -5x - 3x + 7x 15x -x x 9x

Mathematics

1 answer:

marshall27 [118]3 years ago

3 0

-5x -3x + 7x
-8x + 7x
-x
Thus, second option is correct.

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What is the distance between points f (2,9) and G (2 , 6)

solmaris [256]

use this formula

Step-by-step explanation:

Use the distance formula.

d = √[(x2 - x1)2 + (y2 - y1)2]

You have all of the coordinates. Plug in the numbers and evaluate.

6 0

3 years ago

A loan worth $1000 collects simple interest each year for 6 years. At the end of that time, a total of $1270 is paid back. Deter

Korolek [52]

Answer:

The percentage rate is 4.5%

Step-by-step explanation:

The simple interest earned in this situation is $1270 - $1000, or $270.

the simple interest formula is i =prt.

Here, i = $270 = ($1000)(r)(6 yr).

$270

Then r = ------------------- = 0.045

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5 0

3 years ago

Use the fundamental identities and appropriate algebraic operations to simplify the following expression. (18 +tan x) (18-tan x)

andrezito [222]

Answer:

a) $\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)=325$

b) The lowest point of $y=\cos \left(x\right)$ , $0\leq x\leq 2\pi$ is when x = $\pi$

Step-by-step explanation:

a) To simplify the expression $\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)$ you must:

Apply Difference of Two Squares Formula: $\left(a+b\right)\left(a-b\right)=a^2-b^2$

$a=18,\:b=\tan \left(x\right)$

$\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)=18^2-\tan ^2\left(x\right)=324-\tan ^2\left(x\right)$

$324-\tan ^2\left(x\right)+\sec ^2\left(x\right)$

Apply the Pythagorean Identity $1+\tan ^2\left(x\right)=\sec ^2\left(x\right)$

From the Pythagorean Identity, we know that $1=-\tan ^2\left(x\right)+\sec ^2\left(x\right)$

Therefore,

$324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325$

b) According with the below graph, the lowest point of $y=\cos \left(x\right)$ , $0\leq x\leq 2\pi$ is when x = $\pi$

3 0

3 years ago

Which of the following graphs represents a quadratic equation with roots of -5 and 2.5

tiny-mole [99]

Answer:

Step-by-step explanation:

6 0

3 years ago

When 7 is subtracted from 3 times a certain number , the result is 28. What is the number

pychu [463]

7 multiply by three u get 21 then add it to the number 28 add u get the answer 49

5 0

3 years ago