To solve the equation using complete square method we proceed:
z^2-19z=66
but
c=(-b/2a)^2
c=(-19/2)^2
c=361/4
thus:
z^2-19z+361/4=66+361/4
factoring the LHS we get:
1/4(2z-19)^2=625/4
(2z-19)^2=625
getting the square root of both sides we get:
2z-19=+/-25
2z=+/-25+19
2z=44 or -6
z=22 or -3
Answer: z=22 or z=-3
Answer:
4:1 or 4/1
Step-by-step explanation:
Original surface area: Each side is 1 * 1 = 1 and there are 6 sides, so 1 * 6 = 6.
New surface area: Each side is 2*2 = 4, and there are 6 sides, so 4 * 6 = 24
The ratio would be 24:6, or 4:1. As a fraction, this would be 4/1
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>
Answer:
5 miles
Step-by-step explanation:
because when u divide 10 and 2 you will get 5
Answer:
The Answer is 47
Step-by-step explanation:
Because you do A squared plus B squared equals C squared and Squared is just multiplying both by two.
