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drek231 [11]
1 year ago
9

Graph the inequality y > 1/2 x - 2

Mathematics
1 answer:
Keith_Richards [23]1 year ago
8 0

Slope intercept form:

y=mx+b

Where:

m= slope

b= y-intercept

For: y=1/2x-2

slope = 1/2

b= -2

To graph it we have to look at the y-intercept.(-2) It means that the line crosses the y axis at y=-2.

looking at the slope, we know that slope = rise (y) / run (x). 1/2

For every 2 units along the x-axis (to the right) the line goes up by 1 unit.

Since inequality has a y> the line is not included in the solution, so it's a dashed line, where the solution is above the line.

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2 years ago
What size does the radius of a sphere need to be for its volume to be larger than its surface area? HINT! It is less than 10. HI
Lera25 [3.4K]
We know that
volume of a sphere=(4/3)*pi*r³----> (r/3)*(4*pi*r²)
and
surface area of sphere=4*pi*r²
so
the volume of a sphere=(r/3)*surface area of sphere
therefore
if r=3
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if r<3
the term (r/3) is < 0
so
volume of a sphere < surface area of sphere

examples
1) for radius r=3 units
volume of a sphere=(4/3)*pi*3³----> 113.04 unit³
surface area=4*pi*3²----> 113.04 units²
volume is equal to surface area

2) for radius r=10 units
volume of a sphere=(4/3)*pi*10³----> 4186.67 unit³
surface area=4*pi*10²----> 1256 units²
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7 0
3 years ago
-The dimensions of a rectangular garden were 2 m by 4 m. Each dimension was
posledela

Answer: 4 m

Step-by-step explanation:

Let the amount each dimension was increased by be x.

Now we can set up a equation.

(2+x)(4+x) = 48

8 + 2x + 4x + x^2 = 48

x^2 + 6x - 40 = 0.

We can factor the left side of the equation.

(x+10)(x-4) = 0.

Therefore, x equals either -10 or 4. Since you can't increase a dimension by a negative amount, x must equal to 4.

8 0
2 years ago
Read 2 more answers
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