Does a triangle with side lengths 5, 5 and 5root2 form a right triangle?

Answers

Answer 1
Answer: If it is a right triangle, then 5^2+5^2 = (5*sqrt(2))^2
25 + 25 = (5*1.414...)^2 =
50 =(7.0710678119) ^2
and 
7.0710678119^2 = 50 so it is a right triangle.
To be specific, it is an isosceles right triangle.





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60 is 25% of what number

What is the sum of the polynomials 8x^2-7x+3 and 2x^2 +10x-5

Answers

Answer:

10x^2 + 3x - 2

Step-by-step explanation:

Final answer:

To find the sum of the polynomials, add the like terms together. The sum of the given polynomials is 10x^2 + 3x - 2.

Explanation:

To find the sum of the polynomials, you need to add the like terms together. Start by adding the coefficients of the x-squared terms, which are 8 and 2. This gives you 10x^2. Then, add the coefficients of the x-terms, which are -7 and 10. This gives you 3x. Finally, add the constant terms, which are 3 and -5. This gives you -2. So, the sum of the polynomials is 10x^2 + 3x - 2.

Learn more about Polynomial Addition here:

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John started working part time at a local pet store and earned $24 a day. Two days laterJack started working part time at a local music store and earned $30 a day. After how

many days do they earn the same amount?

Answers

Answer:

They earn the same amount after 8 days.

Step-by-step explanation:

When both started working(the day Jack started, John had been working for 2 days earning $24 a day, so he already had 2*24 = $48). We started modeling from this day.

John:

He already had $48.

He would earn $24 per day.

So after n days, his amount would be:

A_(Jo)(n) = 48 + 24n

Jack:

He has nothing.

He would earn $30.

So after n days, his amount would be:

A_(Ja)(n) = 30n

After how many days do they earn the same amount?

After n days.

n is found when:

A_(Jo)(n) = A_(Ja)(n)

48 + 24n = 30n

6n = 48

n = (48)/(6)

n = 8

They earn the same amount after 8 days.

If you had 9 pieces of licorice to share equally around 5 people, how much licorice would each person get? *

Answers

I think you would give them 1 piece each then, i think you divide the remaining 4 into 1/5 i give each piece to the 5 people.
Hope this helped!

PLEASE ANSWER ASAP! ANSWER MUST INCLUDE EXPLANATION IN ORDER TO RECEIVE POINTS AND THE BRAINLIEST ANSWER! THANKS!!!

Answers

We'll use the Pythagorean Theorem to solve this problem.
We know that the Pythagorean Theorem is the following:

a^(2) + b^(2) =c^(2)

where c is the hypotenuse (the side opposite the right angle), and a and b are the legs of the triangle.
To solve, we just have to input what we know. The two legs of the triangle are 60 and 100, so we just have to plug these values in and solve.

60^(2) + 100^(2) = c^(2)

3600 + 10000 = c^(2)

13600= c^(2)

So we know that the distance from one corner of the playing field to the opposite corner is the square root of 13,600 yards.
When we plug this into a calculator, we get

√(13600) ≈ 116.619...

which, when rounded up to the nearest whole number, is 117.
The approximate distance from one corner of the soccer field to the opposite corner is 117 yards.
Hope that helped! =)
The answer is 117 because you do 60 squared plus 100 squared then you find the square root of that product and since it says approximentaly the closest answer would be 117

F(x)= -2x^2 +8x -12 in vertex form

Answers

            f(x) = -2x² + 8x - 12
               y = -2x² + 8x - 12
          + 12                  + 12
       y + 12 = -2x² + 8x
y + 12 - 8 = -2x² + 8x - 8
        y - 4 = -2(x²) - 2(-4x) - 2(4)
        y - 4 = -2(x² - 4x + 4)
        y - 4 = -2(x² - 2x - 2x + 4)
        y - 4 = -2[x(x) - x(2) - 2(x) - 2(-2)]
        y - 4 = -2[x(x - 2) - 2(x - 2)]
        y - 4 = -2(x - 2)(x - 2)
        y - 4 = -2(x - 2)²
          + 4         + 4
             y = -2(x - 2)² + 4

What's 17⁄12 as a mixed number? A. 1 5⁄12
B. 1 12⁄7
C. 1 7⁄12
D. 7 1⁄2

Answers

You need to simplify. 12 goes into 17 once so it is defiantly not D. 17-12=5, so it is A.