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guajiro [1.7K]
3 years ago
5

How do you solve x^2 - 16x -34 = 2 by completing the square?

Mathematics
1 answer:
victus00 [196]3 years ago
5 0
Complete the SquareSolve for x over the real numbers:(x - 8)^2 - 100 = 0
Add 100 to both sides:(x - 8)^2 = 100
Take the square root of both sides:x - 8 = 10 or x - 8 = -10
Add 8 to both sides:x = 18 or x - 8 = -10
Add 8 to both sides:Answer:  x = 18 or x = -2
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Amy's penny bank is 1/2 full. After she adds 360 pennies, it is 5/6 full. How many pennies can Amy's bank hold?
stellarik [79]

Answer:

1,080 Pennies

Step-by-step explanation:

This question is fairly simple, you just have to simplify it. You are starting at already half-full, so you can keep that 1/2 in mind. Then, she adds 360 pennies to get 5/6. If you convert 1/2 into 3/6, you can see that 360 pennies fills 2/6 of the piggy bank. So now you can solve two different ways. The first, you can take 360 and multiply it by 3 to get the amount that can fit in the piggy bank, because 2 * 3 = 6 and that would make it 6/6, or 1. The other way would be to divide 360 by 2 to get 1/6 of the piggy bank, or 180. Then you can multiply 180 by 6 to get the entire amount.

Hope this helped ^-^

5 0
3 years ago
Find the perimeter of the polygon.​
Liono4ka [1.6K]

Answer:

80

Step-by-step explanation:

The Two-Tangent Theorem states that if two tangent segments are drawn to one circle from the same external point, then they are congruent

13+13+9+9+12+12+6+6= 80

6 0
3 years ago
Franklin walked 1/2 mile in 8 1/2 minutes. What is he unit rate in miles per minute
Kryger [21]
There are 2 half-miles in a mile. Thus, doubling 8.5 minutes will give you the answer. 2(8.5)=17 minutes per mile or .17 miles per minute. 
3 0
3 years ago
If y is directly proportional to x and y = 6 when x = 2, what is the proportion equation?
Ivan

Answer:

y = 3x

Step-by-step explanation:

Direct proportion equation is

y = kx

6 = k*2

Divide each side by 2

6/2 = 2k/2

3 =k

The equation is y = 3x

7 0
3 years ago
Read 2 more answers
Please help i cant get the answer 50 points for whoever answers it
inysia [295]

Answer: £ 214

Step-by-step explanation:

Pay for first 15 hours = 8 * 15 = £ 120

Pay for remaining extra hours is the remaining days of Friday which is 3 hours. So,

Pay = 10 * 3

Pay = £ 30.

Finally, find pay for Saturday

Pay = 4 * ( 2 * normal rate )

Pay = 4 * ( 2 * 8 )

Pay = £ 64

Total pay = 120 + 30 + 64

Total pay = £ 214.

5 0
3 years ago
Read 2 more answers
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