Answer:
(C)
Step-by-step explanation:
In order to find whether the given side lengths form a right triangle or not, we must show that it satisfies the Pythagoras theorem.
A. , 10 and 116
According to Pythagoras theorem,
⇒
⇒
which does not satisfy the condition, therefore these side lengths do not form a right triangle.
B. 3,6 and 8
According to Pythagoras theorem,
⇒
⇒
⇒
which does not satisfy the condition, therefore these side lengths do not form a right triangle.
C. 30, 40 and 50
According to Pythagoras theorem,
⇒
⇒
⇒
which satisfies the condition, therefore theses side lengths form right triangle.
Answer:
Step-by-step explanation:
Twice the first equation can be added to the second to eliminate the variable y.
2(3x -y) +(5x +2y) = 2(0) +(22)
11x = 22 . . . . . . . the result of the combination
__
Solving this gives ...
x = 2
Substituting into the first equation gives ...
3(2) -y = 0
y = 6
The solution is (x, y) = (2, 6).
The population size after 6 years and after 8 years are 147 and 169 population respectively
<h3>Exponential functions</h3>
The standard exponential function is expressed as y = ab^x
where
a is the base
x is the exponent
Given the function that represents the population size P (t) of the species as shown;
For the population size after 6 years
For the population after 8 years
Hence the population size after 6 years and after 8 years are 147 and 169 population respectively
Learn more on exponential function here: brainly.com/question/2456547
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Answer:
$1.56
Step-by-step explanation:
1.50 times 0.04 is 0.06
1.50+0.06
$1.56
Let <em>x</em> = 8.132132132...
Then 1000<em>x</em> = 8132.132132132...
Subtract <em>x</em> from 1000<em>x</em> to eliminate the fractional part:
1000<em>x</em> - <em>x</em> = 8132.132132132... - 8.132132132...
999<em>x</em> = 8132 - 8 = 8124
<em>x</em> = 8124/999 = 2708/333