Standard equation of a circle: <em>(x-h)² + (y-k)² = r²</em> where <em>(h, k)</em> is the center and <em>r </em>is the radius. In the case of our equation here, <em>(x-5)² + (y+3)² = 25</em>, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.
We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.
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25% is being taken off the original price, p, of each patio chairs.
That means the price of each patio chair is the full price, p, minus <span>25% of the original price.
1) To find 25% of the original price, multiply p (original price) by the decimal form of 25%, or 0.25. That means 25% off original price = 0.25p.
2) Now subtract 0.25p from the original price of the chairs to find the price of each (1) chair. p - 0.25p
Shylah is buying 4 chairs at that discounted price. That means you need to multiply the discounted price, </span> p - 0.25p, by 4. Shylah is paying 4(p-0.25p) total for the 4 chairs, which is answer choice B.
Since you can choose more than one choice, you can simplify 4(p-0.25p) by subtracting what is in the parathesis, then multiplying, following the order of operations:
4(p-0.25p)
= 4(0.75p)
= 3p
That is answer choice A.
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Answer: Choices A and B, <span>3p and 4(p−0.25p).</span>
Too many questions to be typed out ... I did it on the paper instead.
Ok so first, you need to figure out the change in elevation for each after one min. so we will write it as a ratio
10:-160 20:-300
So for the 10 min one, we will divide both sides by 10
1:-16 So the change in elevation per min. is -16
Now for the 20 one, we will divide by 20.
1: -15 So the change in elevation per min. is 15
So, the 10 min section of the walk the change of elevation was greater. Hope that helps! if you need me to explain something just ask!
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Im going to take a guess and say zero because any number times zero is zero.
