Answer:
k = 4
Step-by-step explanation:
The graph represents y and x in direct proportion with equation
y = kx ← k is the constant of proportionality
To find k use the point (1, 4), that is x = 1, y = 4
k =
=
= 4
First you normalize 3x+4y=12 into y = -3/4 x + 3 (dividing by 4).
Then you observe that the slope of the line is -3/4 (it's always the factor with the x). A perpendicular line has the reciprocal slope. Reciprocal means inverted and negated. So -3/4 becomes +4/3.
The equation will thus look like y = 4/3 x + b. To find b, we fill in the given x intercept (0,2), (we get 2 = 4/3 * 0 + b). With x=0, b must be 2.
So the equation is: y = 4/3 x + 2
Answer:
7.48331477355
Step-by-step explanation:
Check the picture below.
as you recall from the previous exercise, x = 74°, now, using the "inscribed angle theorem" as you saw already, the green intercepted arc is 160°, so y = 160° - 74°.
as far as ∡z, well, we can just use the "inscribed quadrilateral conjecture".
Answer:
80
Step-by-step explanation:
Your 4 given numbers equal 295. 5x75 is 375. So take 375-295 and you get 80, your 5th number.