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sp2606 [1]
3 years ago
6

What is the solution to the system below? x + 3y = 0 2x - y = -7

Mathematics
1 answer:
sasho [114]3 years ago
8 0

( x, y ) = ( -3, 1 )

hope it helps!

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Find the area of the shape.
Anna71 [15]

Answer: 16\pi

Step-by-step explanation:

A_{\text{circle}} =\pi (8)^2 =64\pi\\\\A_{\text{shape}}=\frac{64\pi}{4}=16\pi

3 0
1 year ago
One number is 6 more than a second number, the sum of the two numbers is 330. what are the numbers?
maksim [4K]

Let's have the first number, the larger number, be <em>x</em>.  We'll have the second, smaller number be <em>y</em>.

We know that x = y + 6, since x is 6 greater than y.

We also know that 330 = x + y.

Because x = y + 6, 330 = y + 6 + y, which simplifies to 330 = 2y + 6.

Now all we need to do is simplify the equation.  First, we subtract 6 from both sides:

330 - 6 = 324

2y + 6 - 6 = 2y.

So we have 324 = 2y.  Then we divide both sides by 2 to get:

162 = y

Plug in y = 162 into the equation x = y + 6 to get:

x = 162 + 6

x = 168

Let's check to make sure our answer is right.  168 is 6 more than 162.  162 + 168 equals 330.  So our two numbers are 168 and 162.

7 0
3 years ago
Cot (15 degrees)
STatiana [176]

Answer:

Part I: cot(15 degrees) = cot(45 - 30)

Part II: Evaluation is below

Step-by-step explanation:

<em>Everything is done in degrees</em>

<em />

Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)

We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:

(4 + 2sqrt(3))/2 = 2 + sqrt(3)

I hope this helps! :)

8 0
2 years ago
F(x) = 10x2 + 8, evaluate f(-3).
OlgaM077 [116]

Answer:

98

Step-by-step explanation:

f(x) = 10x² + 8

= 10(-3)² + 8

= 10 (9) + 8

= 90 + 8

= 98

5 0
3 years ago
If f(x) = 2x – 6 and g(x) = x – 22, find each value.
Charra [1.4K]

Answer:

Step-by-step explanation:

I think you made a typo. g(x) should equal x - 2 not x - 22

g(x) =  x - 2

g(-1) = -1 - 2

g(-1) = - 3

The answer is d. Otherwise there is no answer.

7 0
3 years ago
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