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3 years ago

The sum of the square of two consecutive whole number is 25. Find the numbers

1 answer:

3 0

Don't you mean "the sum of the squares ..."?
The sum of the squares of two consecutive whole numbers is 25. Find the numbers. Let the first be represented by x and the second by x+1.
Then x^2+(x+1)^2=25. Expanding, x^2+x^2+2x+1=25.
Rewriting this as a quadratic equation in standard form,

2x^2+2x+1=25, or 2x^2+2x-24=0. Simplifying, x^2+x-12=0.
Factoring, (x-3)(x+4)=0. Solving for x: x-3=0, so x=3; x+4=0, so x=-4.
Choose the positive x value: x=3. Then the next consecutive number is 2+1=3+1=4.

Check: Does 3^2 + 4^2 = 5^2 = 25? Yes.
The numbers are 3 and 4.

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The volume of a where is 38808 cm cube .find the radius

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3 years ago

What is the primary difference between exponential and linear functions?

Yanka [14]

Answer:

Step-by-step explanation:

We know that the growth of a linear function will always be constant. So, that eliminates B and C.

A quadratic function can be a function such as $x^2$ , or $5x^2+7x$ , etc.

An exponential function wouldn't be $x^2$ , it would be $2^x$ ! Or $3^x$ , or $(1.738283)^x$ , etc. Therefore, D is eliminated.

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2 years ago

What are the remaining angle measures if the figure is to be a parallelogram?

goldfiish [28.3K]

The correct answer is

m∠B ==101°,

m∠C =79°,

m∠D=101°

Step-by-step explanation:

As we know that, it is a parallelogram opposite angels are congruent
Therefore, m∠A = m∠C and m∠B =m∠B

As we know that, If side a=79 then side c must also be equal to 79

When we consider all the angles and add them it must be equal to 360°
When we add 79+79 = 158°, which mean a=c= 158°

By subtracting all the sides of parallelogram which is 360- 158= 202°
If we divide it by 2 then we will get the value of the other side of the angle which is b and d.
Dividing 202 by 2
$\frac{202}{2}$ = 101°
Therefore, the value of b=d=101°
A Parallelogram is a flat shape with an opposite sides parallel and they are equal in length.
A parallelogram has four sides, and the opposite sides are parallel and they don't intersect.

3 0

3 years ago

Read 2 more answers

A sample of 250 people resulted in a confidence interval estimate for the proportion of people who believe that the federal gove

bagirrra123 [75]

Answer: Approximately 79 Percent

Step-by-step explanation:

The confidence level used in this estimation is approximately 79 percent.

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2 years ago

Solve |p + 2| = 10Solve |p + 2| = 10<br><br> {-12}<br> {-8, 8}<br> {-12, 8}

valentinak56 [21]

By definition, we have

$|p+2| = \begin{cases} p+2 &\text{ if } p+2 \geq 0 \\-p-2 &\text{ if } p+2 < 0 \end{cases}$

So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:

Suppose that $p+2\geq 0 \iff p \geq -2$

In this case, the absolute value doesn't do anything: the equation is

$p+2 = 10 \iff p = 10-2 = 8$

We are supposing $p \geq -2$ , so we can accept this solution.

Now, suppose that $p+2 < 0 \iff p < -2$ . Now the sign of the expression is flipped by the absolute value, and the equation becomes

$-p-2 = 10 \iff -p = 12 \iff p = -12$

Again, the solution is coherent with the assumption, so we can accept this value as well.

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3 years ago