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2 years ago

Find the value of a if given points are collinear (5,1) (3,2) and (1,a)

Mathematics

1 answer:

Ksenya-84 [330]2 years ago

8 0

9514 1404 393

Answer:

a = 3

Step-by-step explanation:

The x-values 5, 3, 1 form an arithmetic sequence. The y-values will do the same: 1, 2, a = 1, 2, 3 -- a common difference of +1.

a = 3

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Write an expression that represents the height of a tree that begins at 10 feet and increases by 3 feet per year. Let t represen

mestny [16]

t represents number of years
initial height=10ft
Increases per year=3ft

Expression:-

$\\ \sf\longmapsto 10+3t$

3 0

3 years ago

Subtract 6x 2 −7x−2 from 6x^{2}-2x+6

ki77a [65]

Answer:

5x+8

Step-by-step explanation:

The from is the key word

That means the second term is first

6x^2 -2x +6 - (6x^2 -7x -2)

Distribute the minus sign

6x^2 -2x +6 - 6x^2 +7x +2

Combine like terms

5x+8

3 0

1 year ago

The volume of a sphere can be described by the following formula, where V = volume and r = radius of the sphere.

Anika [276]

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Step-by-step explanation:

Given formula for volume of a sphere is:

$V = \frac{4}{3}\pi r^3$

We have to make r the subject of the formula

Multiplying equation by 3/4

$\frac{3}{4}V = \frac{4}{3} * \frac{3}{4} \pi r^3\\\frac{3}{4}V = \pi r^3$

Dividing both sides by pi

$\frac{3}{4\pi}V =\frac{ \pi r^3}{\pi}\\\frac{3V}{4\pi} = r^3$

Taking cube root on both sides

$\sqrt[3]{\frac{3V}{4\pi} } = \sqrt[3]{r^3} \\ r = \sqrt[3]{\frac{3V}{4\pi} }$

Hence,

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Keywords: Volume, Sphere

Learn more about volume at:

#LearnwithBrainly

5 0

3 years ago

Please help me<br>simplify<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B32%20-%20%20%5Csqrt%7B50%7D%20%7D%20" id="TexFormul

Mnenie [13.5K]

Answer:

$\sqrt{32-5\sqrt{2} }$

Step-by-step explanation: I hope it helps :)

$\sqrt{32-\sqrt{50} } \\\\simplify \: \sqrt{50} \:to \:5\sqrt{2} \\\\= \sqrt{32-5\sqrt{2} } \\\\Decimal Form: 4.992888$

5 0

2 years ago

A contracting company rents a generator for 6 hours and a heavy duty saw for 6 hours total cost of $48 for another job the compa

Wewaii [24]

Answer:

the hourly rates are $8 and $10 respectively

Step-by-step explanation:

Given that

The generator rents for 6 hours and the total cost is $48

And, for another job The generator rents for 4 hours and the total cost is $40

We need to find out the hourly rates

For the first one

= $48 ÷ 6 hours

= $8

For the second one

= $40 ÷ 4 hours

= $10

Hence, the hourly rates are $8 and $10 respectively

6 0

3 years ago

Find the value of a if given points are collinear (5,1) (3,2) and (1,a)​

Find the value of a if given points are collinear (5,1) (3,2) and (1,a)