Answer:
a=8
b=17
Step-by-step explanation:
Isoceles means we will have 2 congruent sides in this triangle.
So it appears we are to assume it is sitting on its base which means that other side has measurement ax+9 as well
So we have the sum of the 3 sides is the perimeter.
That means we have the equation:
(ax+9)+(ax+9)+(4x+b)=20x+35
Combine like terms:
(a+a+4)x+(9+9+b)=20x+35
(2a+4)x+(18+b)=20x+35
This implies 2a+4=20 and 18+b=35.
2a+4=20
Subtract 4 on both sides:
2a=16
Divide both sides by 2:
a=8
18+b=35
Subtract 18 on both sides:
b=17
So a=8 and b=17.
<span>The place value positions to either side of a number are related because they are 10 times smaller or ten times bigger — a number in the hundreds column in ten times bigger than the same number in the tens column, for example.</span>
$390 is the interest will Charlie’s initial investment earn over the 15-year period. The money does Charlie have after the 15 years is $715.
<u>Step-by-step explanation:</u>
Harlie invests $325 in an account.
- Principal, P = $325
- Interest rate, r = 8% ⇒ 0.08
- Number of years, t = 15
<u>The formula to find the interest will Charlie’s initial investment earn over the 15-year period :</u>
⇒
<u></u>
⇒ 
⇒ 
Therefore, $390 is the interest will Charlie’s initial investment earn over the 15-year period.
<u>Money Charlie has after 15 years :</u>
It is given by the formula,
⇒ Amount = Principal + Interest.
⇒ 325 + 390
⇒ 715 dollars.
∴ The money does Charlie have after the 15 years is $715.
Answer: -7, 12
Step-by-step explanation:
a+b = 5
a*b = -84
a = 5-b
(5-b)*b = -84
-b^2 + 5b + 84 = 0
(-b - 7)(b + 12) = 0
The roots are -7 and 12.
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