Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
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Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
4222.3 is the volume of the cylinder. If you want me to explain step-by-step just comment.
C . the graph will shift upwards because it is increasing on a graph
Answer:
75 and 552 =627
Step-by-step explanation:
First=x
Second 7x+27
x+ 7x+27= 627
8x+27=627
8x=600
x=75
75*7+27 =525
525+27 = 552
Answer:
C. y=1/2x-6
Step-by-step explanation:
The correct answer is C. y=1/2x-6.
If we are finding 1/2 of the length, and the length is represented by x, than we would have 1/2x.
It also says 6 less than halve of the length, so we would represent that as 1/2x-6, and that shows us the proper equation to find the width.
Hope this helps!
