Answer: Choice B) {3, 5, sqrt(34)}
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Explanation:
We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.
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For choice A,
a = 2
b = 3
c = sqrt(10)
So,
a^2+b^2 = 2^2+3^2 = 4+9 = 13
but
c^2 = (sqrt(10))^2 = 10
which is not equal to 13 from above. Cross choice A off the list.
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Checking choice B
a = 3
b = 5
c = sqrt(34)
Square each equation
a^2 = 3^2 = 9
b^2 = 5^2 = 25
c^2 = (sqrt(34))^2 = 34
We can see that
a^2+b^2 = 9+25 = 34
which is exactly equal to c^2 above. This confirms the answer.
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Let's check choice C
a = 5, b = 8, c = 12
a^2 = 25, b^2 = 64, c^2 = 144
So,
a^2+b^2 = c^2
25+64 = 144
89 = 144
which is a false equation allowing us to cross choice C off the list.
Company A: 120 + 0.50x
Company B: 60 + 0.60x
Company A = Company B (solve for x)
(Here, x = miles)
120 + 0.50x = 60 + 0.60x
120 - 60 = 0.60x - 0.50x
60 = 0.10x
600 = x
Answer:
7
Step-by-step explanation:
11 times 7 =77
Answer:
(21, 17 )
Step-by-step explanation:
Using the midpoint formula and equating to the coordinates of the midpoint.
Let endpoint 2 have coordinates (x, y ), then
0.5(x - 3) = 9 ( multiply both sides by 2 )
x - 3 = 18 ( add 3 to both sides )
x = 21
and
0.5(y - 5) = 6 ( multiply both sides by 2 )
y - 5 = 12 ( add 5 to both sides )
y = 17
endpoint 2 = (21, 17 )
<span>A) -x+y=4
B) 6x+y= -8
Multiplying "A" by -1
A) x -y = -4 then adding it to B
B) 6x + y = -8
7x =-12
x = -12/7 = </span><span>-1.7142857143
y = 4 + x = </span><span><span><span>2.2857142857
</span></span></span>Did you make a typo because as you can see, the solution is not one of the 4 choices.
