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3 years ago

Is this a right triangle? Hypotenuse is 15 adjacent is 9 and the opp is 12

Mathematics

1 answer:

scoray [572]3 years ago

4 0

Answer:

Yes

Step-by-step explanation:

A right triangle's formula, according to Pythagorean's Theorem, is a² + b² = c². a and b are the two legs, and c is the hypotenuse. To solve, we must substitute the variables with the given measurements.

9² + 12² = 15²

Let's now solve:

81 + 144 = 225

225 = 225

The formula works out in the end, so it is a right triangle!

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The average of 6 numbers is 7. When a 7th number is addedThe average of all numbers is 0. What is the seventh number?

Katena32 [7]

-- The average of 6 numbers is 7.
    So those 6 numbers must add up to 42.

-- If one more number results in an average of zero,
   the new number must be -42 .
   Then all 7 numbers add up to zero.

4 0

3 years ago

Solve for Y. 9/4y-12=1/4y-4

Lelechka [254]

I believe y equals 4.

9/4y - 12. = 1/4y - 4
+ 12. +12
9/4y. = 1/4y + 8
- 1/4y. - 1/4y

8/4y. = 8
2y. = 8
2. 2
Y = 4

4 0

3 years ago

Read 2 more answers

Which of the following is a solution of x2 + 6x = −18? x = 3 − 3i x = −3 + 3i x = −6 + 3i x = 6 − 3i

Marina86 [1]

Step 1 ) Move all terms right side of the equation.

$\displaystyle\ x^{2} + 6x = -18$

$\displaystyle\ x^{2} + 6x + 18 = -18 + 18$

$\displaystyle\ x^{2} +6x + 18 = 0$

Step 2 ) Apply quadratic formula. (Note: There are 2 solutions)

$\displaystyle\ x^{2} +6x + 18 = 0$

$\displaystyle\ x = \frac{-b\sqrt{b^{2}-4ac}}{2a}, \displaystyle\ x = \frac{-b-\sqrt{b^{2}-4ac}}{2a}$

$\displaystyle\ x = \frac{-6+\sqrt{6^{2}-4 * 18}}{2} , \displaystyle\ x = \frac{-6-\sqrt{6^{2}-4*18}}{2}$

$\displaystyle\ x = \frac{-6+6i}{2}$ ,

$\displaystyle\ x = \frac{-6-6i}{2}$

Step 3 ) Simplify.

$\displaystyle\ x = \frac{-6+6i}{2}$ ,

$\displaystyle\ x = \frac{-6-6i}{2}$

$\displaystyle\ x = -3+ 3i$ ,

$\displaystyle\ x = -3 - 3i$

Since the options only provide one of the answer we found, the answer is...

$\displaystyle\ x = -3 - 3i$

•

- <em>Marlon Nunez</em>

6 0

3 years ago

Read 2 more answers

Help me please i need help bad please just help me :(

UNO [17]

Answer:

you can do it i belive

Step-by-step explanation:

5 0

2 years ago

If someone could help me out with this, I would greatly appreciate it!!

kati45 [8]

We are given that revenue of Tacos is given by the mathematical expression $-7x^{2}+32x+240$ .

(A) The constant term in this revenue function is 240 and it represents the revenue when price per Taco is $4. That is, 240 dollars is the revenue without making any incremental increase in the price.

(B) Let us factor the given revenue expression.

$-7x^{2}+32x+240=-7x^{2}+60x-28x+240\\-7x^{2}+32x+240=x(-7x+60)+4(-7x+60)\\-7x^{2}+32x+240=(-7x+60)(x+4)\\$

Therefore, correct option for part (B) is the third option.

(C) The factor (-7x+60) represents the number of Tacos sold per day after increasing the price x times. Factor (4+x) represents the new price after making x increments of 1 dollar.

(D) Writing the polynomial in factored form gives us the expression for new price as well as the expression for number of Tacos sold per day after making x increments of 1 dollar to the price.

(E) The table is attached.

Since revenue is maximum when price is 6 dollars. Therefore, optimal price is 6 dollars.

7 0

3 years ago