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Ray Of Light [21]
3 years ago
14

How can you show that two objects are proportional with an equation

Mathematics
1 answer:
V125BC [204]3 years ago
5 0
You can use a plot diagram to plot the points and if they all go straight through the origin then it is proportional :)
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14. A sphere is inscribed in a cube with an edge of 10. What is the shortest possible distance from one of the vertices of the c
DedPeter [7]

Answer:

5(√3 - 1)

Step-by-step explanation:

Edge of cube = 10

If the sphere is inscribed in a cube, the edges of the cube is equal to the diameter of the sphere.

Diameter = 10

We will then find the diagonal of the cube.

Diagonal = √10^2 + 10^2 + 10^2

= √300

= 10√3

Let X be the distance between the vertex of the cube and the surface of the sphere

X = (diagonal - diameter) /2

X = (10√3 - 10)/2

X = (10(√3 - 1))/2

X = 5(√3 - 1)

8 0
3 years ago
What is the simplified version of -4(8r + 3)
Whitepunk [10]

Answer:

-8-3

Step-by-step explanation:

-4(8r+3)

-32r-12

divide both sides by 4

-8-3

5 0
2 years ago
Read 2 more answers
To make a fruit salad for a party, Chris
Sloan [31]

Answer:

$33.81

Step-by-step explanation:

2.49*3 = 7.47 dollars for 3 pounds of strawberries

3.19*2 = 6.38 dollars for 2 pounds of blueberries

4.99*4 = 19.96 dollars for 4 pounds of pineapple

7.47 + 6.38 + 19.96 = 33.81 dollars spent in total

4 0
2 years ago
If y varies directly as x and y-21 when x<br> is 7, find x when y = -5.
klasskru [66]

Step-by-step explanation:

Since, y varies directly as x:

\therefore \: y = kx..(1) \\ (k = constant \: of \: proportionality) \\ at \: y = 21 \: and \: x = 7 \\ 21 = k \times 7 \\ k =  \frac{21}{7}  = 3 \\ plugging \: k = 3 \: in \: equation \: (1) \\ y = 3x..(2) \\ plugging \:  \: y =  - 5  \: in \: (2)\\  - 5 = 3x \\ x =  \frac{ - 5}{3}  \\   \:  \:  \:  \:  \:  \: \huge \red{ \boxed{x =  -  \frac{5}{3} }}

6 0
2 years ago
Read 2 more answers
Identify the equations as parallel lines, perpendicular lines, or neither.
Alex

Answer:

B. Parallel

Step-by-step explanation:

Equation 1 simplified:   y = 3x+7

Equation 2 simplified: y = -x/3-3

The slopes are completely different, ruling out the possibility of the lines being parallel.

But we also see the slopes of the equations are opposite and negative to each other. Making the lines perpendicular.

4 0
2 years ago
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