The graph represents the average heights of boys in the United States from age two to age ten. A line of best fit has been drawn
2 answers:
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See the picture attached to better understand the problem
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer is
the hypotenuse is (3√2)/2
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer is
the hypotenuse is (3√2)/2
Answer and Step-by-step explanation:
There is
in the number 1.
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Answer:
.
Step-by-step explanation:
The question requires that the equation should be in the slope-intercept form . The
and
in this equation are constants. In particular:
would represent the slope of this line (also known as the gradient of this line,) whereas
would be the
-intercept of this line.
The question states that the slope of this line is . Therefore,
. Thus, the equation for this line should be in the form
.
The value of constant could be found using the other piece of information: the point
is in this line. In other words, the solution
should satisfy the equation
.
Substitute into the equation
and solve for
:
.
.
.
Hence, would be the slope-intercept form of the equation of this line.