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kirill [66]
3 years ago
8

What does it mean to rise over run when the slope is integer

Mathematics
1 answer:
myrzilka [38]3 years ago
3 0
The expression isn't "to rise over the run".
The correct expression is "THE rise over the run".
Basically, it means slope is the angle of altitude divided by distance.
So, if a ramp is 20 feet long and it lifts cargo up 2 feet, then the rise over the run is in 2 / 20.


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Solve: -(1/4)m + 5 = 16
liq [111]

Answer:

m=-44

Explanation: distribute the negative and add -1/4 to m and then take the 5 away from 16 and then multiply both sides

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3 years ago
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Find the center and radius of the sphere whose equation is given by x2+y2+z2−2x−4y+8z+17=0x2+y2+z2−2x−4y+8z+17=0.
Vedmedyk [2.9K]
We know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
where (h,k,l) is the center and r is the radius

we have
x²+y²+z²<span>−2x−4y+8z+17=0
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²+2x)+(y²-4y)+(z²+8z)=-17
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=-17+1+4+16
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4

Rewrite as perfect squares

(x+1)²+(y-2²)+(z+4)²=4

(x+1)²+(y-2²)+(z+4)²=2²

the center is the point (-1,2,-4) and the radius is 2 units




4 0
3 years ago
Find the addictive inverse of -9
son4ous [18]
The Additive inverse is 9
4 0
3 years ago
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Find the measure of the angle indicated in bold
Brums [2.3K]

Answer:

d

Step-by-step explanation:

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3 years ago
If f(x)=2x^2+(1000/x), find the average rate of change of f(x) from x=a to x=a+h.
galina1969 [7]

Answer:

\frac{\frac{1000}{x+h}-\frac{1000}{x}}{h} is your average rate of change,

Step-by-step explanation:

average rate of change is

\frac{f(a+h)-f(a)}{a+h-a}, by slope formula

simplify this to get \frac{f(a+h)-f(a)}{h}, which is the definition of the derivative as h goes to 0

\lim_{h \to 0} \frac{f(a+h)-f(a)}{h}

since you defined x=a, we can substitute a for x and vice versa to find our derivative.

\lim_{h \to 0} \frac{(2x^2+\frac{1000}{x+h})-(2x^2+\frac{1000}{x})}{h}

simplifying

\lim_{h \to 0} \frac{\frac{1000}{x+h}-\frac{1000}{x}}{h} (your average rate of change)

6 0
3 years ago
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