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andriy [413]
3 years ago
9

Solve the following system of equations by graphing y=2x+2y=x-1

Mathematics
1 answer:
Tems11 [23]3 years ago
8 0

y = 2x + 2

for x = 0 → y = 2(0) + 2 = 0 + 2 = 2 → (0, 2)

for x = -1 → y = 2(-1) + 2 = -2 + 2 = 0 → (-1, 0)

y = x - 1

for x = 0 → y = 0 - 1 = -1 → (0, -1)

for x = 1 → y = 1 - 1 = 0 → (1, 0)

Look at the picture.

<h3>Answer: (-3, -4) → x = -3 and y = -4.</h3>

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A 2.2 kg ball strikes a wall with a velocity of 7.4 m/s to the left. The ball bounces off with a velocity of 6.2 m/s to the righ
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Answer:

The constant force exerted on the ball by the wall is 119.68 N.

Step-by-step explanation:

Consider the provided information.

It is given that the mass of the ball is m = 2.2 kg

The initial velocity of the ball towards left is 7.4 m/s

So the momentum of the ball when it strikes is = 2.2\times 7.4=16.28

The final velocity of the ball is -6.2 m/s

So the momentum of the ball when it strikes back is = 2.2\times -6.2=-13.64

Thus change in moment is: 16.28-(-13.64)=29.92

The duration of force exerted on the ball t = 0.25 s

Therefore, the constant force exerted on the ball by the wall is:

\frac{29.92}{0.25}=119.68

Hence, the constant force exerted on the ball by the wall is 119.68 N.

6 0
3 years ago
A trapezoid has bases of lengths 13 cm and 17 cm. The
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Answer:

135 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \frac{1}{2} h(a + b)

where h is the height and a, b the parallel bases

Here h = 9, a = 13 and b = 17 , thus

A = \frac{1}{2} × 9 × (13 + 17)

   = 0.5 × 9 × 30

   = 135 cm²

3 0
3 years ago
Factor the algebraic expression below in terms of a single trigonometric function. csc 2x - 1
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100 divided by 235 ?
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Answer:

100 divided by 235=0.425

6 0
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Mr. Stevenson is ordering shirts and hats for his Boy Scout Troop. There are 60 scouts in the troop. Hats come in packs of 3, an
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He should order 20 packs of hats and 12 packs of shirts.

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