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3 years ago

Which answer is an equation in point-slope form for the given point and slope?

Mathematics

2 answers:

miv72 [106K]3 years ago

8 0

Answer:

The correct answer is $y-5=4(x+3)$ .

Step-by-step explanation:

The point-slope form of the equation of a straight line is:

$y - y_1 = m(x - x_1)$

The equation is useful when we know:

one point on the line: $(x_1,y_1)$
and the slope of the line: $m$ .

We know that the point is (−3,5) and the slope is 4.

Applying the above definition we have that

$y-5=4(x+3)$

STALIN [3.7K]3 years ago

3 0

I just took the test. The correct answer is:

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A rectangular tank is 24 cm wide, and 30 cm long. It contains a stone and is filled with water to a height of 8 cm. When Amy pul

maw [93]

Answer:

Formula for volume = length (L) × width (W) × height (H)

Volume of the stone = 1,440 cm³

Step-by-step explanation:

✔️Formula for the rectangular tank = L*W*H

✔️Volume of the stone = volume of the tank with the stone - volume of the tank without the stone

✔️Volume of the tank with the stone:

L = 30 cm, W = 24 cm, H = 8 cm (height of water when the stone was in the tank)

Volume of the tank with the stone = 30*24*8 = 5,760 cm³

✔️Volume of the tank without the stone:

L = 30 cm, W = 24 cm, H = 6 cm (height of water when the stone was pulled out)

Volume of the tank with the stone = 30*24*6 = 4,320 cm³

✅Volume of the stone = 5,760 - 4,320 = 1,440 cm³

3 0

3 years ago

Solve the linear system using substitution y - 5 = x 4x - y = 4

Agata [3.3K]

Step-by-step explanation:

X=y-5

Now,

4x-y=4

4(y-5)-y=4

4y-20-y=4

3y=24

Y=8

Substituting the value of y

8-5=x

X=3

3 0

3 years ago

A force of F pounds is required to pull an object weighing W pounds up a ramp inclined at θ degrees from the horizontal. Find θ

Pie

Answer:

The value of θ is 20.105°

Step-by-step explanation:

Consider the provided information.

A force of F pounds is required to pull an object weighing W pounds up a ramp inclined at θ degrees from the horizontal.

Sine of angle is force over weight.

$\sin\theta=\frac{F}{W}$

Substitute F = 5500 pounds and W = 16,000 pounds in above formula.

$\sin\theta=\frac{5500}{16000}$

$\sin\theta=\frac{11}{32}$

$\theta\approx20.105$

Hence, the value of θ is 20.105°

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3 years ago

Marco is 6ft and 3 inches tall.there are 2.54 cenimeters in 1 inch what is marco's hight in inches

RUDIKE [14]

Answer:

190.5 centimeters.

Step-by-step explanation:

First you need to convert 6ft 3 inches into just inches. There are 12 inches in a foot. 12 x 6 is 72. 72 inches + 3 = 75 inches. 75 inches x 2.54 = 190.5 centimeters.

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3 years ago

PLEASE HELP I'M ON A TIMER Fill in the blank. The area of the trapezoid is ___ square units.

nekit [7.7K]

15*12 equals 90. 2*12 is 24. Those two together equals 114. (This is an educated)

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3 years ago

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