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2 years ago

Write the equations of 2 straight lines which are perpendicular to y = -3x +0.5.

Mathematics

1 answer:

olchik [2.2K]2 years ago

3 0

Answer:

y = (1/3)x + 7

y = (1/3)x - 15

These are two examples out of an unlimited number of possibilities.

Step-by-step explanation:

The slope of this given line is -3. Any new line perpendicular to this one is the negative reciprocal of -3: 1/3.

The slope-intercept form is y = mx + b. Here m = 1/3, so the revised form is

y = (1/3)x + b.

Two straight lines perpendicular to the given line are easily found by selecting two different values for b:

y = (1/3)x + 7

y = (1/3)x - 15

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Answer:

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Step-by-step explanation:

step 1

Find the total volume of the tank

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step 2

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step 3

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The volume of the glass sphere is equal to

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we have

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substitute

$V=\frac{4}{3}(3.14)(1)^{3}$

$V=4.2\ in^{3}$

step 4

What is the new distance from the water to the top of the tank?

we know that

$2 in -----> represent (3,000-2,600)=400\ in^{3}$

using proportion

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$\frac{2}{400}\frac{in}{in^{3}}=\frac{x}{4.2}\frac{in}{in^{3}}\\ \\x=4.2*2/400\\ \\x=0.021\ in$

The new distance from the water to the top of the tank is

$2-0.021=1.979\ in$

step 5

Find how many of these balls can be put into the tank with the tank not overflowing

we know that

The volume of one ball is equal to $4.2\ in^{3}$

using proportion

$\frac{1}{4.2}=\frac{x}{400}\\ \\x=400/4.2\\ \\x=95.23\ balls$

therefore

The maximum number of balls that can be put into the tank with the tank not overflowing is 95

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