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3 years ago

Evaluate the expression when a = 4 and c = -4. -a +2c

Mathematics

2 answers:

Vladimir79 [104]3 years ago

8 0

Answer: -12
-(4)+2(-4)=-12
I hope this helps!!

gizmo_the_mogwai [7]3 years ago

6 0

Answer:

-12

Step-by-step explanation:

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Cos(−θ)=√3/3, sinθ<0

Delicious77 [7]

Answer:

$\sin\theta=-\frac{\sqrt{6}}{3}$

Step-by-step explanation:

The given trigonometric equation is $\cos(-\theta)=\frac{\sqrt{3} }{3}$ .

We can either use the Pythagorean identity or the right angle triangle to solve for $\sin\theta$ .

According to the Pythagorean identity,

$\cos^2\theta+\sin^2\theta=1$

Recall that, the cosine function is an even function, therefore

$\cos(-\theta)=\cos(\theta)$

$\Rightarrow \cos(\theta)=\frac{\sqrt{3} }{3}$ .

We substitute this value in to the above Pythagorean identity to get;

$(\frac{\sqrt{3}}{3})^2+\sin^2\theta=1$

$\Rightarrow \frac{3}{9}+\sin^2\theta=1$

$\Rightarrow \sin^2\theta=1-\frac{3}{9}$

$\Rightarrow \sin^2\theta=\frac{6}{9}$

$\Rightarrow \sin\theta=\pm \sqrt{\frac{6}{9}}$

$\Rightarrow \sin\theta=\pm \frac{\sqrt{6}}{3}$

But we were given that,

$\sin\theta\:$ , so we choose the negative value.

$\Rightarrow \sin\theta=-\frac{\sqrt{6}}{3}$

The correct answer is B

7 0

4 years ago

Y=1/2(x+8)+3 please show work also write in y=mx+b

Paraphin [41]

Answer:

y = 1/2x + 7

Step-by-step explanation:

y= mx + b is written in slope- intercept form. Plug in the numbers.

you distribute 1/2 to x and to 8

y= 1/2x + 4 + 3

simplify

y= 1/2x + 7

the problem can't be anymore simplified

If you have any questions pls ask!

6 0

3 years ago

Camren has a clear container in the shape of a cube. Each edge is 9 centimeters long he found the volume of the container in cub

kompoz [17]

27 cubic centimeters

6 0

3 years ago

Jasmine mixes 37 ounces of grape juice and 13 ounces of apple juice to make a fruit punch. She will pour the punch into 6-ounce

Anastaziya [24]

First we have to figure out how much fruit punch Jasmine has.
To do this, we just have to add the number of ounces of grape juice she mixes with the number of ounces of apple juice.

37 + 13 = 50.

Jasmine is pouring the punch into 6 ounce cups. To find out how many cups of punch she can make, you have to divide the number of ounces of punch she has (50) by the number of ounces she can put in a cup (6).

50/6 ≈ 8.33

Therefore, Jasmine can

A. make 8 full cups of punch with the apple juice and grape juice.

and

B. Yes, there will be juice left over, because the amount of cups Jasmine could fill had a decimal, or a remainder.

8 0

3 years ago

What is the perimeter of this triangle?

salantis [7]

3w-15 is the answer ,

w + w + w-15

( combime like terms )

= 3w - 15

6 0

3 years ago

Evaluate the expression when a = 4 and c = -4. -a +2c​

Evaluate the expression when a = 4 and c = -4. -a +2c