Answer:
Step-by-step explanation:
The equation of a circle in standard form is
You are given
In order to put the equation in standard from, we need to complete the square. Since there is no y term, the y part is simply y^2, and there is no need to complete the square for y. For x, we do have an x term, so we must complete the square in x.
Start by grouping the x terms and subtracting 45 from both sides.
Now we need to complete the square for x.
The number that completes the square will go in the blank above, and it will also be added to the right side of the equation.
To find the number you need to add to complete the square, take the coefficient of the x term. It is -18. Divide it by 2. You get -9. Now square -9 to get 81. The number that completes the square in x is 81. Now you add it to both sides of the equation.
Answer:
Answer:
(base × height) × 0.5
Step-by-step explanation:
Formula of the Area of a Triangle => (base × height) × 0.5
Okay, here we have this:
Considering the provided information, we are going to calculate the requested probability, so we obtain the following:
So to calculate the probability of the conjunction of two events we will substitute in the following formula:
Replacing:
P(wearing brown shoes or tennis shoes U sneakers)=(30+58-8)/100
P(wearing brown shoes or tennis shoes U sneakers)=80/100
P(wearing brown shoes or tennis shoes U sneakers)=0.8
Finally we obtain that the probability that a randomly selected teacher is wearing brown shoes or tennis shoes/sneakers is 0.80.
Answer:
8x + 60
Step-by-step explanation:
4(x + 5) + 2(x - 10) + 2(x + 30)
= 4x + 20 + 2x - 20 + 2x + 60 (combine like terms)
= 8x + 60
To put this another way: to turn a mixed number into a fraction, multiply the whole number by the denominator (the bottom part), and add the result to the numerator (the top part). 21/2 = ? Multiply the whole number by the denominator. The whole number is 2.
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