the distance from the origin is 5, so
sqrt(x²+y²)=5
x²+y²=25
substitue y=x²
y+y²=25
y²+y-25=0
solve using calculator or the formula
to get
y =( -1+sqrt(1+4*25))/2
or y = (-1-sqrt(1+4*25))/2
the second solution is rejected because a square cannot be negative
the value of x is the positive or negative (sqrt... or -sqrt...) or y
Answer/Step-by-step explanation:
well, first figure out how many units/times prism A was enlarged to become prism B...
16 ÷ 2 = 8
Now if we apply that info to the length of the prism, then...
80 ÷ 8 = 10
Therefore x = 10
And the Prisms remain congruent and proportional!
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1. This probability is 1/2*1/2=1/4, or 0.25.
2. There are three ways to do this: draw two 2s, a three then a two, or a two then a three. So our probability is 3/16=.1875.
3. We already calculated the probability that the sum is less than 6. Using similar methods, we calculate that there are three ways for a sum to be greater than 8, so our probability is 6/16=0.375.
Answer:
a=-3
Step-by-step explanation:
5a+a=-10-8
6a=-18
a=-18/6
a=-3
Divide total pieces of candy by total people:
35 / 5 = 7
Each person receives 7 pieces of candy
