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BigorU [14]
1 year ago
12

Wha) is the image of the point (9,2) after a rotation of 90° counterclockwise about the origin?

Mathematics
1 answer:
ElenaW [278]1 year ago
5 0

Given the point:

(x, y) ==> (9, 2)

Let's find the new point of the image after a rotation of 90 degrees counterclockwise about the origin.

To find the image of the point after a rotation of 90 degrees counterclockwise, apply the rules of rotation.

After a rotation of 90 degrees counterclockwise, the point (x, y) changes to (-y, x)

Thus, we have the point after the rotation:

(x, y) ==> (-y, x)

(9, 2) ==> (-2, 9)

Therefore, the image of the points after a rotation of 90 degrees counterclockwise is:

(-2, 9)

ANSWER:

(-2, 9)

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Sylvia earns $7 per hour at her after school job. After working one week, she received a paycheck for $91.
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Answer:

a.) hours=13

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c.) $$105

Step-by-step explanation:

a.) If she earns $7 'per' hour, this multiplication. After a week, we need to see how many hours she worked to earn $91, so this goes behind the equal sign. Let <em>h</em> be the unknown number of hours:

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Solve for h. Divide both sides by 7:

\frac{7h}{7}=\frac{91}{7}\\\\h=13

Sylvia worked 13 hours at a rate of $7 an hour.

b.) She can work at most 15 hours a week. At 'most' can also mean less than or equal to. Let <em>h</em> be hours:

h\leq 15

Sylvia can work less than or equal to 15 hours per week.

c.) If Sylvia can work 15 hours, plug in this value for <em>h</em> into an equation when she earns $7 per hour. Let the product of the hours and money equal <em>t</em> for total:

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The most money Sylvia can earn in a week is $105.

<em>Finito.</em>

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3 years ago
A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in a table, sh
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The regression equation to predict the number of cans sold on a day that is 90°F will be 871.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in the table, shown above. Use technology to find the equation of the least-squares regression line.

Then the regression line will be passing through (55, 340) and (84, 780). Then we have

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More about the linear system link is given below.

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