The question seems incomplete but that could just be my perception.
The slope of y = -4x is -4 as it's the value just in front of the x value. This equation is in the form y = mx+b where m = -4 and b = 0. The m is the slope.
Anything parallel to y = -4x will also have a slope of -4. Parallel lines have equal slopes (but different y intercepts)
Anything perpendicular to y = -4x will have a slope of 1/4. Notice how multiplying the original slope (-4) and the perpendicular slope (1/4) gets you -1. To go from -4 to 1/4, we flip the fraction and the sign. Think of -4 as -4/1 to flip the fraction to -1/4 and then flip the sign to +1/4 or just 1/4.
Answer:
Step-by-step explanation:
To avoid confusion, distribute the negative amongst all terms in the second set of parentheses.
I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.
Answer:
900 if your its 3.75% of 24000
Step-by-step explanation:
Answer:
1, (c) 2,(c) 3,(a)
Step-by-step explanation:
1, f (x) = 2-x and f(2) = 2-2
for example f(-4) = 2-(-2) = 0
=4
3, 120° - 60° = 60
Answer:
12a. 471.2 cm²
12b. 60 m²
Step-by-step explanation:
Part A.
The surface area of each figure is the sum of the end area and the lateral area.
<u>cylinder</u>
S = (2)(πr²) +2πrh = 2πr(r +h)
S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²
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<u>triangular prism</u>
S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism
S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²
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Part B.
Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.
Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.
The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).
