P = s + (s + 5) + (s + 5) This represents the two sides that are 5 inches longer than the base (s + 5) and the base (s).
Simplifying.
100 = 3s + 10
subtract 10 from both sides
90 = 3s
divide both sides by 3
30 = s
base = 30
sides = 35
CHECK 30 + 35 + 35 = 100
Answer:
x=-2
y=14
Step-by-step explanation:
-7x=4x+22
-11x=22
x=-2
y=-7(-2)
y=14
9514 1404 393
Answer:
500 ÷ 8 = 62 r 4, for example
Step-by-step explanation:
In order to have a remainder of 4, the divisor must be greater than 4, so could be any of 5, 6, 7, 8, 9.
The corresponding numbers could be any of ...
504 +5n . . . 0 ≤ n ≤ 19
502 +6n . . . 0 ≤ n ≤ 16
501 +7n . . . 0 ≤ n ≤ 14
500 +8n . . . 0 ≤ n ≤ 12
508 +9n . . . 0 ≤ n ≤ 10
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For example, with the divisor being 6, and n=13, the number could be ...
580 = 6·96 + 4
Let u = x², then we would have u² + 5u - 6 = 0
From here, we can factor it and get us (u-1)(u+6) = 0
So our solution for u is u = -6 or 1.
Now substitute u back to x².
x² = -6 or 1
x = ±√(-6) or ±√1
Since ±√(-6) is not real number, we ignore it.
Which leave us x = ±√1 = <span>±1
So our real solution is x = -1 or 1.</span>
Answer: 3 4/5
Explanation: 19 divided by 5 is 3 4/5
