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Goryan [66]
3 years ago
5

The sum of two numbers is thirteen, and the sum of their squares is 89. Find the two number

Mathematics
1 answer:
Murljashka [212]3 years ago
8 0

Answer:

Suppose~that~the~two~numbers~are~x~and~y.\\According~to~question,\\Sum~of~the~numbers = 13\\or, x+y=13........(1)\\or, y = 13-x.......(2)\\Again,\\Sum~of~their~squares=89\\or, x^2+y^2=89\\or, (x+y)^2-2xy=89\\From~eq^n(1)~and~(2),\\13^2-2x(13-x)=89\\or, 169-26x+2x^2=89\\or, 2x^2-26x+169-89=0\\or, 2x^2-26x+80=0\\or, x^2-13x+40=0\\or, x^2-8x-5x+40=0\\or, x(x-8)-5(x-8)=0\\or, (x-5)(x-8)=0\\i.e. x=5~or~8\\When~x=5,~y=13-x=13-5=8\\When~x=8,~y=13-x=13-8=5\\So,~the~two~numbers~are~5~and~8.

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SVEN [57.7K]

Answer:

11. (x-2)/(x+8)

12. 9+t

13. h = 2A/b

Step-by-step explanation:

11. Since x is used to represent the number, 2 less than a number is x-2. 8 more than a number is x+8. The quotient of the first and second of these is the first one divided by the second one:

... (x -2)/(x +8) . . . . . parentheses are required unless the expression is typeset:

\dfrac{x-2}{x+8}

12. Apparently, we're to assume the salesman keeps on driving. If he had any sense (or a good union), he would stop after 9 hours. t hours added to 9 is ...

... 9 + t

13. Divide by the coefficient of h.

... h = A/((1/2)b) = 2A/b

5 0
3 years ago
Jason has a cube with colored sides: red, orange, yellow, green, blue and purple.
Andre45 [30]
Jason has a cube with colored sides: red, orange, yellow, green, blue and purple. The odds of Jason rolling a primary color is 3 out of 6
6 0
3 years ago
Which statement is true about vertical angles. 1 point Vertical angles are congruent if two lines are parallel. If vertical angl
Serhud [2]

Answer:

Vertical angles are always congruent.

Step-by-step explanation:

Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.

Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles:

<a and <b,

<c and <d.

Thus, <a is congruent to <b, and <c is congruent to <d.

Therefore, the standby that is true about vertical angles is that:

Vertical angles are always congruent.

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3 years ago
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klemol [59]

Answer:

vertical stretch

Step-by-step explanation:

8 0
2 years ago
What is-3/7x-2 in standard form
Eddi Din [679]
If you are given y = (-3/7)x - 2 and you want it in the form Ax+By = C, then...

y = (-3/7)x-2
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The standard form equation is 3x+7y = -14
3 0
3 years ago
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