Answer:
Нищо незням ама не лига да ви помогна
Answer:
The first set of consecutive even integers equals (8 , 6)
The second set is ( - 8 and - 6) which also works.
Step-by-step explanation:
Equation
(x)^2 + (x + 2)^2 = (x)(x + 2) + 52 Remove the brackets on both sides
Solution
x^2 + x^2 + 4x + 4 = x^2 + 2x + 52 Collect the like terms on the left
2x^2+ 4x+ 4 = x^2 + 2x + 52 Subtract right side from left
2x^2 - x^2 + 4x - 2x + 4 - 52 = 0 Collect the like terms
x^2 + 2x - 48 = 0 Factor
(x + 8)(x - 6) = 0
Answer
Try the one you know works.
x - 6 = 0
x = 6
Therefore the two integers are 6 and 8
6^2 + 8^2 = 100
6*8 + 52 = 100
So 6 and 8 is one set of consecutive even numbers that works.
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What about the other set.
x + 8 = 0
x = - 8
x and x + 2
- 8 and -8 + 2 = - 8, - 6
(- 8 )^2 + (- 6)^2 = 100
(-8)(-6) + 52 = 100
Both sets of consecutive numbers work.
Answer: 19
If the floor space of the garage is increased by 50%, that means its area is increased by that amount
So we have 228 + .50(228) = 228 + 114 = 342 ft²
Since the original garage is square-shaped with an area of 228 ft², then we can find the length of each side. If we let x = the side length, then we have:
x² = 228
x = 15.1 ft
Assuming that the garage will remain square-shaped with sides of uniform dimensions, then we can label each side of the expanded garage as 15 + y. We need to solve for y. Again, we use the area formula. Remember that the expanded garage will have an area of 342 ft², we now have:
(y + 15)² = 342
y² + 30y + 225 = 342
y² + 30y - 117 = 0
This can be solved using the Quadratic Formula. Remember that dimensions must always be positive. Once you determine y, then you will know what the length will be of the expanded garage
so you need to take $0.99 times $42.72
hope this helps!!
