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3 years ago

Find y when x=14 if y varies directly with x2, and y =72 when x=6

Mathematics

1 answer:

Art [367]3 years ago

3 0

6 times 12 is 72 so 14 times 12 would be 168 if that is what you are looking for. So for that y=168 :-)

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Sara worked 24 hours last week. Joan worked for hours less than Sara, and Erin worked half as many hours as Joan. How many hours

Vaselesa [24]

Sara worked 1 day last week
Joan worked for 20 hours last week
And Erin worked for 10 hours last week

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3 years ago

Find the length of the missing side. the triangle not drawn to scale. (Image attached)

3241004551 [841]

Answer: 8

Step-by-step explanation:

The triangle shown in the image attached is a right triangle.

Therefore, to calculate the missing lenght of the triangle you can apply the Pythagorean Theorem, which is shown below:

$a^2=b^2+c^2$

Where a is the hypotenuse and b and c are the legs.

The problem gives you the value of the hypotenuse and the value of one leg. Therefore, you must solve for the other leg from $a^2=b^2+c^2$ , as following:

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3 years ago

Read 2 more answers

What happens to the sign or signs of the coordinates when you reflect a point?

elena55 [62]

Part a: Reflecting a point across the x-axis, changes the sign of the y-coordinate.

Part b: Reflecting a point across the y-axis, changes the sign of the x-coordinate.

Part c: Reflecting a point across both the axes, changes the signs of both the coordinates.

Explanation:

Part a: Reflecting a point across the x-axis

The reflection is a transformation of a figure which represents a flip.

The rule for a reflection over the x -axis is given by

$(x, y) \rightarrow(x,-y)$

Hence, this represents the change of sign of the y-coordinate.

Thus, Reflecting a point across the x-axis, changes the sign of the y-coordinate.

Part b: Reflecting a point across the y-axis

The rule for a reflection over the y -axis is given by

$(x, y) \rightarrow(-x, y)$

Hence, this represents the change of sign of the x-coordinate.

Thus, Reflecting a point across the y-axis, changes the sign of the x-coordinate.

Part c: Reflecting a point across both the axes

The rule for a reflection across both the axes is given by

$(x, y) \rightarrow(-x, -y)$

Hence, this represents the changes the signs of both the coordinates.

Thus, Reflecting a point across both the axes, changes the signs of both the coordinates.

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3 years ago

How can you find a unit rate when given a rate?

ivanzaharov [21]

It depends on the problem really. One example is that you drive 10 miles in 2 hours. So you divide the distance over time to get 10/2 = 5. This means you drove 5 miles per hour (mph). The unit rate for this example is 5 mph.

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3 years ago

4 sin ^ 2 x- 4 sin x + 1 = 0

m_a_m_a [10]

$4\sin^2x-4\sin x+1=(2\sin x-1)^2=0\implies \sin x=\dfrac12$

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8 0

3 years ago