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3 years ago

What are two same numbers that multiply each other to get 121

Mathematics

2 answers:

Leni [432]3 years ago

7 0

The numbers are 11.

11*11= 121.

Elenna [48]3 years ago

4 0

11 times 11 equals 121.

11 squared equals 121.

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Part A Prove that when x > 1, a triangle with side lengths a = x2 − 1, b = 2x, and c = x2 + 1 is a right triangle. Use the Py

Nataly [62]

Step-by-step explanation:

Given : A triangle with side lengths $a = x^2-1, b = 2x, \text{ and } c = x^2 + 1$

To find : Prove that when x > 1, it is a right triangle. Use the Pythagorean theorem and the given side lengths to create an equation. Use the equation to show that this triangle follows the rule describing right triangles. Explain your steps ?

Solution :

For right triangle the Pythagorean theorem is to be satisfied.

i.e. $c^2=a^2+b^2$

Here, $a = x^2-1, b = 2x, \text{ and } c = x^2 + 1$

Substitute the values,

$(x^2+1)^2=(x^2-1)^2+(2x)^2$

$x^4+1+2x^2=x^4+1-2x^2+4x^2$

$x^4+1+2x^2=x^4+1+2x^2$

LHS=RHS

It is a right triangle.

7 0

3 years ago

Help with sons homework

Artemon [7]

Answer:

5. Read below

6 . A

Step-by-step explanation:

6. Meaning 8 x 6 = 48

for 5 add the people that ate pasta and chicken.

Subtract that total from 270.

5 0

3 years ago

A hostel has enough food for 125 students for 16 days. How long will the food last if 75 more students join them?

Zolol [24]

16 divided by 125 is .128
125 plus 75 is 200
.128 multiplied by 200 is 25.6 days

6 0

3 years ago

Read 2 more answers

What are the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1)?

Amiraneli [1.4K]

Answer:

$(-3, -2)$

Step-by-step explanation:

To find the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1), we are going to be using the midpoint formula, which states that:

The midpoint is at $(\frac{x_{1} +x_{2} }{2}, \frac{y_{1} +y_{2} }{2})$ . Where:

$(x_{1}, x_{2}) = (-6, 6)$

$(y_{1}, y_{2}) = (-3, 1)$

Then, the midpoint is at:

$(\frac{-6 +6 }{2}, \frac{-3+1}{2})$ = $(0, -1)$

Now, to find the coordinates of the point that is 1/4 of the way, we are going to calculate the midpoint between the point 'A' and the midpoint previously caculated, as follows:

$(x_{1}, x_{2}) = (-6, 0)$

$(y_{1}, y_{2}) = (-3, -1)$

⇒ $(\frac{-6 +0}{2}, \frac{-3-1}{2})$ = $(-3, -2)$

Therefore, the point is 1/4 of the way from A to B is: $(-3, -2)$

8 0

3 years ago

A woman has a total of $9,000 to invest. She invests part of the money in an account that pays 7 % per year and

Volgvan

Answer:

Hi! I believe this is your answer:

$750

Step by step explanation:

interest + interest = total interest

0.08*x + 0.09*(9000-x) = 750 dollars

0.08x + 810 - 0.09x = 750

-0.01x = 750 - 810 = -60 ====> x = %28-60%29%2F%28-0.01%29 = 6000.

Final answer:

$6000 was invested at 8%. The rest 9000-6000 = 3000 dollars were invested at 9%.

Check. 0.08*6000 + 0.09*3000 = 480 + 270 = 750 dollars.

6 0

3 years ago