First let's put both into equivalent forms by solving the second equation for y.
8x - 4y = 12
-4y = -8y + 12
y = 2y -3
We now have two equations:
y = mx - 6
y = 2x - 3
Recall that parallel lines have the same slope, and the slope is "m" for an equation in slope-intercept form y=mx+b.
The slope in y = 2x - 3 is 2, so for the equation y = mx -6 to be parallel, it must also have a slope of 2.
Therefore, m = 2.
Answer:
65
Step-by-step explanation:
The slant height of a cone is the length of a segment from the base to the vertext along the surface of the cone.
You can use the given dimenstions as the legs of a right triangle, and the slant heifght is rthe hyopotenuse.
L^2 = r^2 + h^2
L^2 = 5^2 + 12^2
L^2 = 169
L = 13
The slant heiht is 13 cm.
LA = (pi)rL
LA = (pi)(5 cm)(13 cm)
LA = 65(pi) cm^2
Answer:
he only answer that makes sense is 15 feet....
The larger right triangle has leg 20 feet by 15 feet, while the smaller has legs 8 and x
20/15 = 8/x
20x = 120
x = 6
so the man is 6 feet tall.
Therefore the pole is 15 feet
Answer:
57$
Step-by-step explanation:
450 + 500 = 950 and 6% of 950 is 57
The complete set of common factors of 6 and 12 is D. {1,2,3,6}