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IRISSAK [1]
2 years ago
9

Three vertices of a square have coordinates (5, 1), (2, -2), and (-1, 1). What are the coordinates of the fourth vertex?

Mathematics
1 answer:
Tresset [83]2 years ago
6 0
Plot the points
we notice that the square is tilted diagnaol

remember that the legnths of the diagonals of a square are equal


therefor the distance between the points (5,1) and (-1,1) is the same as the ohter diagonal (distance is 6)

the other point is probably that disance up or the y vairable
(2,-2)+6 on the y
-2+6=4
(2,4)
answer is (2,4)
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At a gas station, suppose that 45% of the customers purchase premium grade gas. Assume that these customers decide independently
valkas [14]

Answer:

The answer to the question is

The probability that at least one of the next three customers purchases premium gas is the complement of the probability that none of the next three customers purchase premium gas = 1 - (1-P(A))³ = 0.834

Step-by-step explanation:

The probability that a customer would purchase premium grade = 45 %

That is P(A) = 0.45 and

The probability that the customer would purchase another  grade = P(B) = 0.55

Therefore the probability of at least one of the next three customers purchase premium gas is

P(k=0) = (1 - P)ⁿ and the probability of at least one customer purchases premium gas is the compliment of the probability that the next three customers purchase another gas brand

that is (1 - P(A))×(1 - P(A))×(1 - P(A)) = P(B)×P(B)×P(B) = 0.55³  and the complement is 1 - 0.55³  = 0.834

8 0
1 year ago
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The graphs below have the same shape. What is the equation of the blue<br> graph?
Zigmanuir [339]
A. Fasho lil homey pop hold it down
5 0
2 years ago
On a website selling books, three paperback books and five hardcover books cost $80.10, and seven paperback books and four hardc
Lisa [10]
To answer this kind of question, you need to insert the first equation into second equation or vice versa. The equation from the question should be:

1. 3 paperback books +  5 hardcover book = $80.10
2. 7 paperback books + 4 hardcover book= $100.65

It would be easier to convert the 1st equation into
5 hardcover book = $80.10- 3 paperback books
hardcover book= $16.02- 0.6 paperback books

Then insert it to 2nd equation:
7 paperback books + 4 ($16.02- 0.6 paperback books)= $100.65
7 paperback books + $64.08- 2.4 paperback books= $100.65
4.6 paperback books = $100.65-  $64.08= $36.57
paperback book= $7.95

Insert paperback book price to the first equation to find the hardcover book price
3 paperback books +  5 hardcover book = $80.10
3 ($7.95)+  5 hardcover book = $80.10
5 hardcover book = $80.10 - $23.85= $56.25
hardcover book = $11.25

Then one paperback and one hardcoverbook= $7.95 + $11.25= $19.20 
3 0
2 years ago
Which expression is equivalent to (StartFraction 125 squared Over 125 Superscript four-thirds Baseline EndFraction? StartFractio
stealth61 [152]

Answer:

\frac{125^2}{125^\frac{4}{3}} = 25

Step-by-step explanation:

Given

\frac{125^2}{125^\frac{4}{3}}

Required

Find an equivalent expression

\frac{125^2}{125^\frac{4}{3}}

Apply the following law of indices;

\frac{a^m}{a^n}  a^{m-n}

The expression becomes

125^{2-\frac{4}{3}}

Solve the exponents

125^{\frac{6-4}{3}}

125^{\frac{2}{3}}

Express 125 as 5³

5^{3^*\frac{2}{3}}

Solve the exponents

5^2

25

Hence;

\frac{125^2}{125^\frac{4}{3}} = 25

5 0
2 years ago
5x+15y=75 in standard form
Darya [45]
It would be x+3y=15. Best of luck
3 0
2 years ago
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