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Zolol [24]
2 years ago
6

Solve the following system of equations. x - 2y = -2 7x - 3y = 19

Mathematics
1 answer:
dolphi86 [110]2 years ago
8 0

Answer:

Step-by-step explanation:

x-2y=-2     x=2y-2

7x-3y=19

substitute x  with 2y-2

7(2y-2)-3y=19     14y-14-3y=19       11y=33   y=3

substitue 3 for y

x-2(3)=-2     x-6=-2      x=4

x=4, y=3

btw if theres more similar questions like this use symbolab a website that solves and show you step by step in solving equations

really useful

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Find the unknown side length, x. Write your answer in simplest radical form.
Otrada [13]

Answer:

B (5 sqrt10)

Step-by-step explanation:

If the hypotenuse is 17, and a leg is 8, that makes the other leg equal to sqrt((17^2)-(8^2)) = sqrt(289-64) = sqrt(225) = 15.

Because you subtract 3 from the leg with length 8, that makes the smaller triangles leg 5. That makes the hypotenuse sqrt(5^2 + 15^2) = 5sqrt10

I'm guessing you typoed for B and meant 5sqrt10, so the answer is B

8 0
3 years ago
Read 2 more answers
How many degrees are each angle of a regular 7 sided shape?
Diano4ka-milaya [45]

Answer:


Step-by-step explanation:

Here is a diagram of a seven sided regular polygon. You use this diagram to find out how many degrees total are in the interior of a the heptagon. There are 5 such triangles which means that since each triangle has 180o the total amount of the interior angles must be 5 * 180 = 900

Since there are 7 interior angles, the answer to how large each one of them is is found by

900/7 = 129.57 which is slightly off because it is a rounded error.

In general, the size of the angles  in a  regular polygon

180(n - 2 ) / n

Where n is the number of degrees in each interior angle. For example for an 8 sided figure you would get

180(8 - 2) / 8 = 180 * 6/8 = 133 degrees.

6 0
3 years ago
In a class of 20 students:
Artyom0805 [142]

Whats the question? I dont understand whats happenign here.

5 0
3 years ago
Read 2 more answers
For the function f (x) = 3 (x + 7), find -1().
AlekseyPX

Given:

The function is f(x)=3(x+7)^{\frac{1}{4}}.

To find:

The function f^{-1}(x).

Solution:

We have,

f(x)=3(x+7)^{\frac{1}{4}}

Substitute f(x)=y.

y=3(x+7)^{\frac{1}{4}}

Interchange x and y.

x=3(y+7)^{\frac{1}{4}}

Divide both sides by 3.

\dfrac{x}{3}=(y+7)^{\frac{1}{4}}

Taking power 4 on both sides.

\left(\dfrac{x}{3}\right)^4=y+7

Subtract 7 from both sides.

\left(\dfrac{x}{3}\right)^4-7=y

y=\left(\dfrac{x}{3}\right)^4-7

Substitute y=f^{-1}(x).

f^{-1}(x)=\left(\dfrac{x}{3}\right)^4-7

Therefore, the correct option is C.

5 0
2 years ago
The value of y is inversely proportional to the value of x. When y=42,x=6. What is the value of y when x=9?
o-na [289]
Y= k/x
When y=42, x=6
42= k/6
k= 42x6
=252
When x=9,
y= 252/9
= 28
7 0
3 years ago
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