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3 years ago

Write the standard form of the line that contains a y-intercept of -3 and passes through the point (3,0). Include your

Mathematics

1 answer:

Ymorist [56]3 years ago

7 0

Answer:

y = -3x + 9 is your answer.

Step-by-step explanation:

So your y-intercept is the slope. Here is the equation we are going to use:

y - y_1 = m(x - x_1)

y_1 = 0

x_1 = 3

m = -3.

y - 0 = -3(x - 3)

y - 0 = -3x + 9

y = -3x + 9 is your answer.

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Am I correct?? I did not count the last square unit at the vertices of each corner.

mariarad [96]

The answer would actually be a 110 units because the bottom left corner had 20 units and the bigger square had 90.

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3 years ago

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shap

11Alexandr11 [23.1K]

Answer:

0.25 feet per minute

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

$\dfrac{dV}{dt}=20$ ft^3/min$

$\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h$

Since base diameter = Height of the Cone

Radius of the Cone = h/2

Therefore,

$\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}$

$\text{Rate of Change of the Volume}, \dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}$

Therefore: $\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=20$

We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

$h=10$ feet$\\\\\dfrac{3\pi *10^2}{12}\dfrac{dh}{dt}=20\\25\pi \dfrac{dh}{dt}=20\\ \dfrac{dh}{dt}= \dfrac{20}{25\pi}\\ \dfrac{dh}{dt}=0.25$ feet per minute (to two decimal places.)$

When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute

5 0

3 years ago

Solve the absolute value inequality. |2x - 3| > 7

s344n2d4d5 [400]

Hi!

NOTE: When solving absolute value inequalities, > or ≥ means OR, and < and ≤ means AND.

|2x - 3| > 7

Since the absolute value is isolated, we can now solve.

First, remove absolute value signs, then solve for x.

2x - 3 > 7

2x > 10

x > 5

Now, we have to solve again, but this time we flip the inequality sign and switch positive 7 to a negative 7, like so:

2x - 3 < -7

2x < -4

x < -2

Now, as stated above, since it's a greater than symbol it means OR.

x > 5 OR x < -2

For more information on solving absolute value inequalities:

brainly.com/question/14473339

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2 years ago

The graphs show the distances traveled by two bikers riding at constant rates.

Alik [6]

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3 years ago

Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is pai

kari74 [83]

Answer:

35x = 155-15

It will take 4 months.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers