Step-by-step explanation:
Get a line of which you want to know the slope.
Pick any two coordinates that the line goes through.
Subtract the two y-coordinates from one another.
Subtract the two x-coordinates from one another.
Looks like the equation is

Substitute
, so that
. Then the equation is the same as

Integrate both sides to get

Given that
, we have

so the solution is

Y=2 yes (the slope is 0 and the y intercept is 2)
Draw a rectangle with diagonal 5 in. Inside this rect. are 2 acute triangles of hypotenuse 5. Note that 3^2 + 4^2 = 5^2; thus the width of the rect. is 3 and the length is 4, with the result that the hypo. is sqrt(3^2+4^2), as expected.
Answer:
θ = 83°
Step-by-step explanation:
For acute angles, the sine of an angle is the cosine of its complement, and vice versa.
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sin(θ) = cos(90° -θ) . . . . relation between sine and cosine
sin(θ) = cos(7°) . . . . . . . . given
90° -θ = 7° . . . . . . . . . matching arguments of cos( )
θ = 83° . . . . . . . . . add θ -7° to both sides