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4 years ago

A is the point with coordinates (3,8) b is the point with coordinates (x,13) the gradient of an is 2.5 .work out the value of x

Mathematics

1 answer:

Solnce55 [7]4 years ago

7 0

Answer:

x = 5

Step-by-step explanation:

The formula for the gradient is given by:

m = (y2 - y1)/(x2 - x1), where two points (x1, y1) and (x2, y2) are given.

Thus if we have a gradient of 2.5 and two points (3, 8) and (x, 13), we can substitute this into the above formula for the gradient to get:

2.5 = (13 - 8)/(x - 3)

2.5(x - 3) = 5 (Multiply both sides by (x - 3))

x - 3 = 2 (Divide both sides by 2.5)

x = 5 (Add 3 to both sides)

Thus, the value of x is 5.

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rusak2 [61]

Answer:

105/8:

Explanation

The formula for volume of a rectangular prism is V=lwh

1) (3/2)*(7/2)

2) (21/4)*(5/2)

3) Answer: 105/8

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3 years ago

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Jeb is the local tennis pro at the country club, and he needs to know at what height the tennis ball needs to be when he hits it

suter [353]

Answer:

The height from ground, at which Jeb needs to hit the ball is 7.8 meters

Step-by-step explanation:

The given parameters are;

The distance away the tennis ball is hit = 20 meters;

The height of the tennis net = 0.3 m

The distance from the net the ball lands = 4 meters

The time the ball takes to land from the 0.3 m net height is given as follows;

t = √(h/(1/2×g)) = √(0.3/(1/2 × 9.8)) ≈ 0.2474

t ≈ 0.2474 seconds

The speed of the ball = Distance/Time = 4/0.2474 ≈ 16.166

The speed of the ball ≈ 16.166 m/s

The time it takes the ball to reach the net = 20/16.166 ≈ 1.24

The time it takes the ball to reach the net, tₓ ≈ 1.24 seconds

The height, hₓ the ball falls in 1.24 seconds is given as follows;

hₓ = 1/2·g·tₓ² = 1/2 × 9.8 × 1.24² = 7.5

The height, hₓ the ball falls in 1.24 seconds = 7.5 m

The height the ball falls in the time taken to reach the net from 20 meters = The height, hₓ the ball falls in 1.24 seconds

Therefore, the height at which Jeb needs to hit the ball = The height the ball falls in the time taken to reach the net from 20 meters + The height of the net = 7.5 m + 0.3 m = 7.8 m

The height at which Jeb needs to hit the ball = 7.8 m

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Purple paint:mix 2 quarts of red paint for every3quarts of blue paint. How many blue paint is needed to make 35 quarts of purple

Phoenix [80]

Answer: 21 quarts of blue paint

Step-by-step explanation: To make a batch of purple paint, it is necessary 2 quarts of red and 3 quarts of blue, resulting in 5 quarts of purple.

So, to make 35 quarts of purple:

5x = 35

x = 7

It is needed, in total, 7 quarts of purple.

As, the ratio is 2 quarts of red to 3 quarts of blue:

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For 35 quarts of purple paint, it's necessary 21 quarts of blue paint.

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3 years ago

A STORY OF UNITS

Aleks04 [339]

Answer:

$40 will be the total cost of the ribbon.

Step-by-step explanation:

To find the cost of ribbon to be put on the edges of rectangular banner, we need to:

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2. Multiply the perimeter with the per foot cost to find the total cost.

Let us find the perimeter first:

Perimeter of a rectangle is given as:

$P = 2 \times \text{(length+width)}$

Here, the dimensions of rectangle are 4ft by 6ft.

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$40 will be the total cost of the ribbon.

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4 years ago