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3 years ago

Leon drove 100 miles in 2 hours. Find the constant of variation.

Mathematics

2 answers:

Nikitich [7]3 years ago

7 0

The constant of variation is 50.
50 miles per hour.

Helga [31]3 years ago

3 0

To find the constant variation, solve for only one hour (in this case).

Divide 100 with 2

100/2 = 50/1

Each hour is 50 miles driven, so your constant variation is 50 mph

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Alik [6]

Answer:

Yes, the given parallelogram is a rectangle.

Step-by-step explanation:

The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).

The slope formula is

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

$JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}$

$KL=\frac{1-4}{3-1}=\frac{-3}{2}$

$LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}$

$JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}$

The slopes of opposites sides are same it means they are parallel to each other.

The product of slopes of two consecutive sides is

$\frac{2}{3}\times \frac{-3}{2}=-1$

Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.

Yes, the given parallelogram is a rectangle.

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4 years ago

Find the x- and y-intercepts for the graph of the equation: 9x-6y=3

erik [133]

<span>9x-6y=3
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y -intercepts x = 0, -6y = 3 then y = -1/2

answer
x -intercepts (1/3, 0)
y -intercepts (0, -1/2)

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3 years ago

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nasty-shy [4]

Answer:

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3 years ago

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Papessa [141]

A. -(a+5)

Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:

-(a+5) * -1 = a+5

B. -(-x+31)

Apply the distributive property:

-(-x+31) becomes (- -x +31) which simplifies to (x+31)

multiply that by -1 to get -x+31

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Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:

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4 years ago

Ruby is ordering some pizza! She has to pay for the cost of the pizza plus the cost of the delivery fee(cost per minute that it

abruzzese [7]

Answer:

Delivery cost per minute = $0.3 per minute

Step-by-step explanation:

Given:

Cost of pizza = $12

Total amount pay by Ruby = $15

Time taken for delivery = 10 minutes

Find:

Delivery cost per minute

Computation:

Total amount of delivery = Total amount pay by Ruby - Cost of pizza

Total amount of delivery = 15 - 12

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3 years ago