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3 years ago

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Adam is three years older than Joe. After three years, Adam’s age will be four years less than two times Joe's age. Considering

Adam's present age as x years and Joe’s present age as y years, write a pair of linear equations to model the above situation.

1 answer:

Anuta_ua [19.1K]3 years ago

3 0

Answer:

2y=2y-4=x

Step-by-step explanation:

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3 years ago

How can b^2+9b+14 be re-written?

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$b^2+9b+14 =\\ \\=b^2+9b-2b + 2b +14 =\\ \\ =b^2+7b +2b +14 = \\ \\ = b(b+7)+2(b+7)=\\ \\=(b+7)(b+2) \\ \\ Answer: \ 4. ) \ (b+7)(b+2)$

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What is the approximate distance from the origin to the point (−5, 6, −1)? Round to the nearest tenth. A) 3.2 units B) 3.5 units

earnstyle [38]

Answer:

7.9.

Step-by-step explanation:

Use the Pythagorean Theorem.

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3 years ago

What is the sum of first k+1 even numbers

Gekata [30.6K]

Answer:

$Sum = (k+1)(k+2)$

Step-by-step explanation:

Given

k + 1 even numbers

Required

Their sum

This question will be solved using the sum of nth term of an AP

$S_n = \frac{n}{2}(2a + (n - 1)d)$

Where

a = the first even number

$a = 2$

n = number of terms

$n =k +1$

d = difference between consecutive even numbers

$d = 2$

So, the expression becomes:

$Sum = \frac{k+1}{2}(2 * 2 + (k + 1 - 1) * 2)$

$Sum = \frac{k+1}{2}(2 * 2 + (k) * 2)$

$Sum = \frac{k+1}{2}(4 + 2k)$

$Sum = \frac{(k+1)(4 + 2k)}{2}$

Factorize 4 + 2k

$Sum = \frac{(k+1)*2*(2 + k)}{2}$

$Sum = (k+1)*(2 + k)$

$Sum = (k+1)*(k+2)$

$Sum = (k+1)(k+2)$

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3 years ago

Which a, b, and c values should be substituted into the quadratic formula for this equation? x2 - x 5 + 1 = 0

Yuri [45]

For A substitute it with 1 for x squared, because is has a coefficient of 1, -5 for B because the coefficient of -5x is -5, and 1 for C because there is no variable connected to is, and one is the coefficient.

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