(ALGEBRA ONE) 34 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Mathematics

1 answer:

34kurt3 years ago

4 0

Answer:

$\large\boxed{x^2+8x+19=0\Rightarrow(x+4)^2=-3}$

Step-by-step explanation:

$x^2+8x+19=0\qquad\text{subtract 19 from both sides}\\\\x^2+8x=-19\\\\x^2+2(x)(4)=-19\qquad\text{add}\ 4^2\ \text{to both sides}\\\\x^2+2(x)(4)+4^2=-19+4^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+4)^2=-3$

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How to do this problem

Maslowich

Answer:

1 tens 3 ones

Step-by-step explanation:

All you do is count the numbers in the place value chart.

Since 31-18=13, all you do is count 10+1+1+1=13.

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3 years ago

Prove the following statements: (a) For every integer x, if x is even, then for every integer y, xy is even. (b) For every integ

Murrr4er [49]

Answer and Step-by-step explanation:

(a) Given that x and y is even, we want to prove that xy is also even.

For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.

(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:

Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.

(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.

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3 years ago

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Answer:

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Step-by-step explanation:

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Using the same kind of calculation, we can see
that the world record times for other distances
correspond to:

200 meters    23.31 mph
400 meters    20.72 mph
800 meters    17.73 mph
1000 meters    16.95 mph
1500 meters 16.29 mph
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2,000 meters    15.71 mph
10,000 meters    14.18 mph
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Answer with Step-by-step explanation:

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