Answer:
Step-by-step explanation:
∛(27a⁻⁶b³c²)
To simplify, first apply the cube root the each of the terms. Keep in mind this rule:
∛27 = 3 (because 3*3*3 = 27)
∛a⁻⁶ = = =
∛b³ = = = b
∛c² =
∛(27a⁻⁶b³c²)
=
Simplified form generally follows these rules:
No negative exponents
No fraction exponents
Keep in fractional form
Reduce numerical values
The points have been plotted on the coordinate graph.
Answer:
y = -5/4x -3
Step-by-step explanation:
y = mx + b
2 = -5/4 (-4) + b
2 = 20/4 + b
2 = 5 + b
2 - 5 = b
-3 = b
Answer:
11.8 ft
Step-by-step explanation:
Since the length of one side, l = 5.3 ft, the longer base b = 12.7 ft and the one brace, d form a triangle with angle between the longer base and side being the angle facing the brace is θ = 68.4°, we use the cosine rule to find the length of thee brace.
So d² = l² + b² -2lbcosθ
So, substituting the values of the variables into the equation, we have
d² = (5.3 ft)² + (12.7 ft)² -2(5.3)(12.7)cos68.4°
d² = 28.09 ft² + 161.29 ft² - 134.62(0.3681)
d² = 189.38 ft² - 49.56 ft²
d² = 139.82 ft²
taking square-root of both sides, we have
d = √139.82 ft²
d = 11.82 ft
d ≅ 11.8 ft to the nearest tenth of a foot.
Answer:
C. Slope is 2
Step-by-step explanation:
Since this equation is written in the y=mx+b equation, 2 would be the slope, because any number that comes before x (AKA "m") is always the slope. For example, if you were trying to find the slope for the equation y=4x+19, 4 would be the slope.