<h3>
Answer: 10</h3>
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Explanation:
The two smaller triangles are proportional, which lets us set up this equation
5/n = n/15
Cross multiplying leads to
5*15 = n*n
n^2 = 75
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Apply the pythagorean theorem on the smaller triangle on top, or on the right.
a^2+b^2 = c^2
5^2+n^2 = m^2
25+75 = m^2
100 = m^2
m^2 = 100
m = sqrt(100)
m = 10
Answer:
P = 309.35 + 2.31t
Step-by-step explanation:
The relation between the population of the USA and the time in years after 2010 will be linear as the increase in population is constant for every year since 2010 which is 2.31 million.
So, we can model the population P in million as a function of time(t) in years since 2010 as
P = 309.35 + 2.31t ....... (1)
Now, for t = 0 i.e. in the year 2010, the population will be obtained from equation (1) to be 309.35 million.
(Answer)
Answer:
All of these terms are dollar amounts.
Step-by-step explanation:
Here, x + y = 10 (where these numerals represent counts)
(1/2)x + (1/4)y = 4 (where (1/2), (1/4) and 4 are dollar amounts)
Let's eliminate y. To accomplish this, mult. the 2nd eq'n by-4, obtaining
-2x - y = -16, and then combining this with the 1st equation, as follows:
-2x - y = -16
x + y = 10
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-x = -6, or x = 6. This represents the number of pens purchased by Terrance.
Subbing 6 for x in the first equation, we get y = 4. This represents the number of pencils he bought.
($0.50)x + ($0.25)y = $4.00 (dollar amounts)
The answer is 6.5t2+0.5t−5.5 , it’s simplified
Answer:
It would be the first answer.
Step-by-step explanation:
y=-2x^2+4x-2
y=-2(-1)^2+4(-1)-2
y=-2(1)-4-2
y=-2-4-2
y=-6-2
y=-8
(-1,-8)
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