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Dmitriy789 [7]
3 years ago
12

(08.05)

Mathematics
1 answer:
lilavasa [31]3 years ago
5 0
You should use −2(x + y = 8) to eliminate x:

Proof: multiply all the terms of (x + y = 8 by -2

-2x -2y = -16. Now add up this equation to 2x + 5y = 24 & x will be eliminates


You might be interested in
Find the number if the square root of another number that is 6 greater than this number is equal to the number itself.
natulia [17]

Answer:

  3

Step-by-step explanation:

Let x represent the number of interest. Then x+6 is "another number". You want its square root to be the original number:

  √(x+6) = x

Squaring both sides, we get ...

  x +6 = x^2

In standard form, this is ...

  x^2 -x -6 = 0

  (x -3)(x +2) = 0 . . . . factored

By the zero product rule, this will have solutions ...

  x -3 = 0  ⇒  x = 3

  x +2 = 0  ⇒  x = -2 . . . . . an extraneous solution, because √(-2+6) ≠ -2

The number is 3.

4 0
3 years ago
This diagram is not correct
Stels [109]
Wait, can you see the diagram?
3 0
3 years ago
Write 5.48 as a mixed number in simplest form.<br> 5.48=
Sphinxa [80]

Answer:

5 12/25

Step-by-step explanation:

The first step is to separate the whole number number from the decimal.

that would be 5

Next would to see in which place the decimal number is in. .48 is in the hundredths place so we put 48 over 100 like this 48/100

So now we have the whole number 5 and the fraction 48/100

Lastly we simplify the fraction. 48 divided by 2 and 100 divided by 2

This equals 24/50

This can be simplified even more

24 divided by 2 and 50 divided by 2

This equals 12/25

Then we put the whole number in front and your final answer is

5 12/25

8 0
4 years ago
In the diagram, line OB bisects angle AOC. Find m angle BOC. Explain your answer.​
klasskru [66]

Answer:

  m∠BOC = 53°

Step-by-step explanation:

The definition of an angle bisector is that it divides an angle into two congruent angles. ∠AOC is divided by angle bisector OB into angles ∠AOB and ∠BOC, hence those two angles are congruent.

  m∠AOB = m∠BOC = 53°

6 0
3 years ago
Write an equation of the line that passes through
Westkost [7]

Answer:

The answer is

<h2>y = - 8x + 8</h2>

Step-by-step explanation:

To find the equation of the line given a point and slope we use the formula

y - y _{1} = m(x - x _1)

where

m is the slope

( x1 , y1) is the point

From the question the point is

(1/2,4) and slope m = -8

The equation of the line is

y - 4 =  - 8(x -  \frac{1}{2} ) \\ y - 4 =  - 8x + 4 \\ y =  - 8x + 4 + 4

We have the final answer as

<h3>y = - 8x + 8</h3>

Hope this helps you

7 0
4 years ago
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