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liberstina [14]
3 years ago
6

A system of equations is shown below.

Mathematics
1 answer:
Alja [10]3 years ago
4 0

You can use the process elimination to solve. In other words, subtract or add the equations like normal.

5x + 2y = -15

+ 2x - 2y = -6

Because there is a 2y and -2y, we can add both equations to eliminate the y so that we can figure out what x is:

5x + 2x = 7x

2y + (-2y) = 0

-15 + (-6) = -21

We now have 7x = -21

Divide all by 7 to get x = -3

Plug in -3 to any of the two equations. I will use the second equation:

2(-3) - 2y = -6

-6 - 2y = -6

-2y = 0

y = 0

This means that the solution to the system of equations is (-3, 0) in the form of (x, y).

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-2x + 3 < 5 Show your work/steps
s2008m [1.1K]
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ -2x + 3 < 5

Subtract 3 from both sides:

-2x < 2

Divide both sides by -2 to isolate x:

x = -1

<h3><u>✽</u></h3>

➶ Hope This Helps You!

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5 0
3 years ago
24) sin x = 1/3<br> Find cos x.
liq [111]

Answer:

\frac{2\sqrt{2} }{3}

Step-by-step explanation:

The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;

sin x = ( opposite / hypotenuse)

The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;

The adjacent side would be;

\sqrt{9-1}=\sqrt{8}=2\sqrt{2}

The cosine of an angle is given as;

cos x = (adjacent side / hypotenuse)

Therefore, the cos x would be;

\frac{2\sqrt{2} }{3}

6 0
3 years ago
Read 2 more answers
A man burns 10 calories per minute mountain biking and 7.5 calories per minute in-line skating. His goal is to burn approximatel
Ipatiy [6.2K]
A.) 10x + 7.5 (0) =420
10x = 420
420 / 10 = 42

x = 42 > ( 42,0 )

10(0) + 7.5y = 420
7.5y = 420
420 / 7.25 = 56

y = 56 > ( 0,56 )

(42,0) (0,56)

B.) The x intercept means that there was 42 ,minutes spent biking. The y intercept means that there was 56 minutes spent in line skating.

C.) (21 ,28) - (14,37) - (28,18)
8 0
3 years ago
What is the surface area of each triangular prism?
SOVA2 [1]

the surface area of the above triangular prism is 156 square inches.

Step-by-step explanation:

multiply the sum of the triangle sides by the height of the prism and add the values together for the answer, remembering to include the correct unit of measurement.

8 0
3 years ago
Will bought 3 college textbooks. One cost 32$, one cost 45$, and one cost 39$. What is the average price of his book?
Damm [24]

Answer:

The average of all textbooks is $38.60.

Step-by-step explanation:

Here's why to calculate average we do sum of all numbers divided by the number of numbers, for example if we average 2 and 3, we do 2+3 divided by 2. Which happens to be 2.5. Now for this problem we divide the sum by 3.

Therefore getting our answer of $38.60.


If this helps hit the thank button!

5 0
3 years ago
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