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drek231 [11]
3 years ago
9

Ishwar pours sand into a bucket at a constant rate. The graph shows the total weight of the bucket and the sand over time. After

10 seconds, the total weight is 50 ounces. What is an equation of the line parallel to the line on the graph that passes through (4, 15)?

Mathematics
2 answers:
notsponge [240]3 years ago
6 0

Answer:

Option C.

Step-by-step explanation:

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the rate of change is

m=\frac{y_2-y_1}{x_2-x_1}

From the given graph it is clear that the line passes through the points (0,20) and (10,50). So, the slope of the lien is

m=\frac{50-20}{10-0}=\frac{30}{10}=3

The slope of two parallel lines are same. So, the slope of parallel line is 3.

The point slope form of a line is

y-y_1=m(x-x_1)

The slope of parallel line is 3 and it passes through the point (4,15). So, the equation of parallel line is

y-15=3(x-4)

Using distributive property

y-15=3x-12

Add 15 on both sides.

y=3x-12+15

y=3x+3

The required equation is y=3x+3. Therefore, the correct option is C.

irakobra [83]3 years ago
5 0
The answer for apex is y = 3x + 3
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Step-by-step explanation:

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2. The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m3.
Dmitrij [34]
Larger PyramidHeight 24 Volume 648

Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27

Slant Height^2 = 4.5^2 + 24^2Slant Height^2 = <span> <span> 596.25 </span> </span> <span><span>Slant Height^2 = 24.4182308941 </span> </span>
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
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Large Pyramid TOTAL Area = <span> <span> 520.5281560938 </span> </span> <span>Large Pyramid LATERAL Area =<span> 439.5281560938 </span> </span>


**********************************************************************************c)
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This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
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3 0
3 years ago
What value of B will make the product equal of 17 in the following expression: 17xb/7
Katyanochek1 [597]

The value B is 7. If we apply B=7 the answer is 17 for the expression 17×\frac{b}{7}

Step-by-step explanation:

            The given expression is 17×\frac{b}{7}  

Step:1

            Form an equation from given data,

            17×\frac{b}{7}= 17..............................(1)

                                                         (∵ product equal to 17)

Step:2

            Check for alternatives by apply the value of B in eqn (1)

            Assume be value of B for check the equation

            B=1

            Equation becomes,

            17×\frac{1}{7} = 2.4286 ≠ 17

            Take, B=2,

            17×\frac{2}{7} = 4.8571 ≠ 17

            Take, B=3,

            17×\frac{3}{7} = 7.2857 ≠ 17

similarly,

            B=7,

            17×\frac{7}{7} = 17                       (∵ The product equals to 17)

Result:

         So, the answer for B is 7.

7 0
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Romashka [77]

Answer:

The answer would probably be c

Step-by-step explanation:

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