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3 years ago

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The sum of a and 46 is equal to k. Let k = 97. Which equation can be used to find the value of a? A. a + 46 = 97 B. a – 97 = 46

C. a = 97 + 46 D. a – 46 = 97

1 answer:

lawyer [7]3 years ago

8 0

Sum means to add, so you are adding a and 46 to get k. k is given as 97 so your equation used to solve for a is a + 46 = 97, choice A from above.

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One positive integer is 1 less than twice another. The sum of their squares is 461. Find the integers.

soldi70 [24.7K]

Answer:

10 and 19

Step-by-step explanation:

In Algebra, an even number = 2x, because anything multiplied by 2 is even.

There are two numbers in the question, I'll define the first one as 2x
the other number is 1 less than twice of the first, so I'm going to define it <u>in algebra as 2(2x) - 1</u>, which is just 4x - 1
the square of the first is $4x^2$
the square of the second is $16x^2-8x+1$
add them together: $20x^2-8x+1$
this equation = 461, so $20x^2-8x+1 = 461$
simplify to $20x^2-8x-460 = 0$
I wont explain how to solve this here, since it is very complicated, if you don't know search up solving quadratics.
the <u>solutions are 5 or -4.6</u>, it cannot be -4.6 since the question says positive, so the solution for <u>x = 5</u>
substitute x into our equations for the two numbers in steps 1 and 2
the <u>first number = 10, the second = 19</u>

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2 years ago

Solve and graph the following: -6 -8x >-5<br><br>

OverLord2011 [107]

Answer:

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Step-by-step explanation:

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Dot -1/8 on the number line, and everything on the left of that point( if right is positive ) is x .

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Answer:

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Step-by-step explanation:

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3 years ago

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Vera_Pavlovna [14]

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4 years ago

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Serggg [28]

Answer:

D

Step-by-step explanation:

Using the law of sines in ΔABC, then

$\frac{c}{sinC}$ = $\frac{a}{sinA}$

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4 years ago