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3 years ago

Simplify each expression. 3+-7 -2 4-16 -2(2)

Mathematics

2 answers:

Paladinen [302]3 years ago

5 0

3+(-7)-2 = -6
4-16-2(2)= -12-4 = -16

seraphim [82]3 years ago

3 0

The answer to the first one is: -6
The answer to the second one is: -16

Happy learning!
~Brooke

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Step-by-step explanation:

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3 years ago

F(x) = x + 6 , find the ordered pair when x = -2.

ss7ja [257]

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Answer: $\textsf{Option A, (-2, 4)}$

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Given: $\textsf{f(x) = x + 6}$

Find: $\textsf{f(-2)}$

Solution: We need to plug in the value -2 into every variable x that we have in the expression and simplify to get the solution.

Plug in the values

$\textsf{f(x) = x + 6}$

$\textsf{f(-2) = -2 + 6}$

Simplify

$\textsf{f(-2) = -2 + 6}$

$\textsf{f(-2) = 4}$

Therefore, the ordered pair that would match would have a x-coordinate of -2 and a y-coordinate of 4 producing (-2, 4) which matches option A.

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2 years ago

If sinθ = 12/13 and θ is an acute angle, find cotθ.

Tju [1.3M]

Answer:

cot(θ)=5/12

Step-by-step explanation:

(I'm going to replace theta with x to save time.)

Recall that sine is equal to opposite over hypotenuse. Thus:

sin(x)=12/13, this means that the opposite side is 12 while the hypotenuse is 13 (well, it doesn't have to be, but their ratios are).

Find the adjacent side using the Pythagorean Theorem.

13^2 = 12^2 + adj^2

adj^2 = 25

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Recall that tan(x) is opposite over adjacent. This means that cot(x) is adjacent is opposite.

Therefore: cot(x) = 5/12.

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