Slope-intercept form:
y=mx+b
m=slope
b=y-intercept
Data:
m=4/5
b=-1
y=mx+b
y=(4/5)x-1
Answer: the equation of the line with slope=4/5, and y-intercept=-1 would be:
y=(4/5)x-1
Answer:
(d) 944 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the distance between bases.
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<h3>base area</h3>
Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...
A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²
The area of the rectangle is the product of its length and width.
A = LW = (9 mm)(6 mm) = 54 mm²
So, the total base area is ...
31.809 mm² +54 mm² = 85.809 mm²
<h3>prism volume</h3>
The prism volume is this area multiplied by the length of the figure:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the figure is about 944 mm³.
Answer:
7.583333 / 7 7/12
Step-by-step explanation:
2 1/3 × 3 1/4
2 1/3=7/3
3 1/4= 13/4
7/3 * 13/4
=91/12
=7 7/12
4^4 * 4^(-9) = 4^(4-9) = 4^(-5) or 1/(4^5)
