Answer:
n = -3
Step-by-step explanation:
The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.
I'm going to call the number "n."
n² - 24 = 5n subtract 5n from both sides to get the equation equal to zero
<u>- 5n -5n</u>
n² - 5n - 24 = 0 factor the trinomial into the multiplicatin of two binomials
we need factors (numbers that multiply) to -24 that add up to
-5. The only factors for -24 that will add up to -5 are -8 and 3.
(n-8)(n+3) = 0 set each binomial equal to zero and solve for n
n-8 = 0 or n+3 = 0
<u>+8 +8</u> <u> -3 -3</u>
n = 8 or n = -3 n = -3 is the negative solution
Answer:
BC AC AB Longest to shortest.
Step-by-step explanation:
Solve for y
From the last question, 146 is the exterior angle.
That means that
5y + 3 + 4y+8 = 146
9y + 11 = 146 Subtract 11 from both sides
9y = 146 - 11 Combine the right
9y = 135 Divide by 9
y = 135/9
y = 15
Solve for x
x and 146 are supplementary.
x + 146 = 180 Subtract 146 from both sides
x = 180 - 146
x = 34
Solve For <A and <B
A
A = 5y + 3
A = 5*15 + 3
A = 75 + 3
A = 78
B
B = 4y + 8
B = 4*15 + 8
B = 68
========
The three angles are
A: 78
B: 68
X: 34
========
The side Opposite A is the longest because A is the biggest angle: BC
The side Opposite B is the second longest line: AC
The shortest line is AB
Conclusion
BC, AC, AB
65÷455= 7
Hope this helps!
Answer:
When your multiplying exponents in the same parenthasis like x^2*x^4, you'll add the exponents so it will be x^6. If it is outside the parenthasis like (x^2)^4 you'll multiply the exponents so it will be x^8. good luck! :)
Step-by-step explanation:
Answer:
-10p/3+32-3/2^p
Step-by-step explanation: