Answer:
ΑΔΒ = ΒΔΑ because Δ stands for the difference between two numbers and the difference between two numbers doesn't change when switched to the other side.
Step-by-step explanation:The volume of each cube = (side)^3 = (1/3)^3 = 1/27 cubic units
The number of cubes that will fill the prism =
Vol of prism 4
__________ = _____ = 4 * 27 = 108 cubes
Vol of cube (1/27)
Answer:
y = 3/2 x + 3
Step-by-step explanation:
2/3 x + y = -14/3
y = -2/3 x − 14/3
The slope of this line is -2/3. So the perpendicular slope is the opposite of the inverse:
m = -1 / (-2/3)
m = 3/2
We know the slope of the line and a point on the line, so using point-slope form:
y − 0 = 3/2 (x − (-2))
Simplifying into slope-intercept form:
y = 3/2 (x + 2)
y = 3/2 x + 3
Answer:
(x-1)(x-7)
Step-by-step explanation:
To factor the equation, find two binomials which multiply to a quadratic. The quadratic's factors are found by finding two numbers that multiply to 7 and add to -8.
-1 and -7 multiply to 7 and add to -8.
(x-1)(x-7)