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3 years ago

What is the direct variation equation if f(x) varies directly with x and f(x)=−18 when x = 3?

Mathematics

1 answer:

kondor19780726 [428]3 years ago

8 0

Answer:

your answer is B becausewe can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = - 3.

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natita [175]

Answer:

to know the average of the data set

Step-by-step explantion:

i dont know :)

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3 years ago

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Two gears in a machine are aligned by a mark drawn from the center of one gear to the center of the other. If the first gear has

Aleksandr [31]

Answer:

Step-by-step explanation:

for the first gear

revolutions/teeth

1 / 24

2 / 48

3 / 72

4 / 96

5 / 120

6 / 144

for the second gear

revolutions/teeth

1 / 40

2 / 80

3 / 120

4 / 160

the two marks will meet after 120 teeth, 5 revolutions of the first gear and 3 revolutions of the second.

the way to get that amount of teeth is

$24 = 2 \times 2 \times 2 \times 3 = {2}^{3} \times 3$

$40 = 2 \times 2 \times 2 \times 5 = {2}^{3} \times 5$

the Least Common Multiple equals the product of all factors, but those factors who are repeted for both numbers should be only once.

${2}^{3} \times 5 \times 3 = 120$

120 teeth are 5 revolutions for gear1 and 3 por gear2

8 0

3 years ago

Write the equation that passes through the following points: (5,0) and (−10,−5)

Vikentia [17]

Answer:

The answer is:

$y = \frac{1}{3} x - \frac{5}{3}$

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

$y = mx + b$

❃Incase you also forgot, The is what the slope formula is ☟

$m = \frac{y_2 - y_1 }{x_2 - x_1}$

➊ First: We are going to be solving for the slope.

$m = \frac{ - 5 - 0}{ - 10 - 5} = \frac{ - 5}{ - 15} = \frac{1}{3}$

➋Second: We find the y-intercept.

$y = mx + b \\ 0 = \frac{1}{3} (5) + b \\ 0 = \frac{5}{3} + b \\ \frac{ - \frac{5}{3} = - \frac{5}{3 } \: \: \: \: \: \: \: \: \: \: \: \: }{ - \frac{5}{3} = b}$

➌Third: Plug in.

$y = \frac{1}{3} x - \frac{5}{3}$

4 0

3 years ago

Please do correctly! I will mark you Brainliest!

kolbaska11 [484]

Answer:

3(4+√2)

Step-by-step explanation:

Here we need to find the perimeter of the given figure. Here the given figure is made from a triangle and a square. The side lenght of the square is 3. We need to find the hypontenuse of the triangle in order to find Perimeter .

• Using Pythagoras Theorem :-

⇒ h² = p² + b²

⇒ h² = 3² + 3²

⇒ h² = 9 + 9

⇒ h² = 18

⇒ h = √[ 9 × 2 ]

⇒ h = 3√2 .

Therefore the perimeter will be ,

⇒ P = 3√2 + 3 + 3 + 3 + 3

⇒ P = 3√2 + 12

⇒ P = 3( 4 + √2)

<h3>Hence the perimeter of the figure is 3(4+√2) .</h3>

4 0

3 years ago

Which perfect square lies between the whole numbers 40 and 50?

Neko [114]

Answer:

The perfect square number between 40 and 50 is 49 which is a square of 7.

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3 years ago

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