Answer:
n = - 12
Step-by-step explanation:
n/9 + 2/3 = - 2/3
n/9 = - 2/3 - 2/3
n/9 = - 4/3
n = 9(- 4/3)
n = -36/3
n = - 12
A.)The equation is 24 + 8=32. Twice of the amount of 24 is 6 times the amount of 8. 24 x 2= 48. 48/6=8.
B.) X +Y=32 and 2x=6y
5^-4 / 5^3
= 5^-1
= 1/5
answer
<span>5^−1
</span><span>1 over 5</span>
Complete question :
John and Kamira are playing a game. John's score (J) and Kamira's score (K) after round 1 are shown on the number line.
The score recorded at the end of the first round is 2.
What could this score represent?
Options :
the sum of John's score and Kamira's score
the difference between John's score and Kamira's score
the absolute value of the difference of John's score and Kamira's score
the sum of the absolute value of John's score and the absolute value of Kamira's score
Answer:
the sum of John's score and Kamira's score
Step-by-step explanation:
Given that :
The score recorded at the end of the round is 2
From the attached number line :
John's score = - 5
Kamira's score = 7
Sum = - 5 + 7 = 2
Difference = - 5 - 7 = - 12
Sum of absolute value = 5 + 7 = 12
absolute value of difference = 12
The answer, in short, is that the short leg equals 15 mm, the long leg equals 20 mm, and the hypotenuse equals 25mm. but if you'd like to see how I solved it, here are the steps.
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The Pythagorean theorem (also known as Pythagoras's Theorem) can be used to solve this. This theorem states that one leg or a right triangle squared plus the other side of that same triangle squared equals the hypotenuse of that triangle squared. To put it in equation form, L² + L² = H².
Let's call the longer leg B, the shorter leg A, and the hypotenuse H.
From the question, we know that A = B - 5, and H = B + 5.
So if we put those values into an equation, we have (B - 5)² + B² = (B + 5)²
Now, to solve. Let's square the two terms in parentheses first:
(B² - 5B - 5B + 25) + B² = B² + 5B + 5B + 25
Now combine like terms:
2B² -10B + 25 = B² + 10B + 25
And now we simplify. Subtract 25 from each side:
2B² - 10B = B² + 10B
Subtract B² from each side:
B² - 10B = 10B
Add 10B to each side:
B² = 20B
And finally, divide each side by B:
B = 20
So that's the length of B. Now to find out A and H.
A = B - 5, so A = 15.
H = B + 5, so H = 25.
And your final answer is A = 15mm, B = 20mm, and H = 25mm
