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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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A boat is 2000m from a cliff. If the angle of depression from the top of the cliff to the boat is 10 degrees, how tall is the cl
lubasha [3.4K]

Answer:

Let AB is the height of the cliff = H and p is the posit ion of the boat.Angle of depression= angle of elevation= 15 degrees therefore angle APB= 15 degrees tan 15=AB=h/1,000 h=(1,000)*tan 15=(1,000)(0.26794919243112)=268.94919243112 meters or

Simply: 268meters..........Ans

6 0
3 years ago
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Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and poin
Nana76 [90]

The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.

Total distance if Pete walks from A to B to C:

= 15 + 25 = 40 yards

As we know in the triangle the sum of the two sides is greater than the third side.

25 + 15 > AC

40 > AC

or

AC < 40

The direct distance from A to C is more than 10(25-15) yards.

The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.

Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1

3 0
2 years ago
3. 17 = z -(-9)<br> What’s the answer
kykrilka [37]
<h2>Answer:</h2>

<u><em>  17 + z -(-9)</em></u>

<u><em>+17        +17</em></u>

<u><em>(34)   +   (26)</em></u>

<u><em>       z=60</em></u>

<h2>Step-by-step explanation:</h2>

<em><u>You need to solve for Z so we need to get z by itself so take 17 and add it to both sides because whatever is on the left side of the equal sign is always what you need to add  17+ 17 then 17+(-9) you get your answers then add those two up then you get z=60.</u></em>

<u><em>Thank you for asking this great question need any other help please let me know by commenting below I'd be glad to help. </em></u>

<u><em>I'd also greatly appreciate you if you mark me as brainliest and click that thanks button.( optional )</em></u>

<u><em>Your brainly friend ( lauralit1 )</em></u>

4 0
3 years ago
Quadrilateral ABCD has vertices at A(2,-2), B(5,-2), C(8,-8), D(2,-5). What is the length of AC? (round to the nearest 10th)
morpeh [17]

Answer:

The answer would be (6, -6)

I hope that helped! :)

5 0
2 years ago
. If x = -4 and y = 2x – 1, then y equals what number?
love history [14]

Answer: y = -8x - 1

Step-by-step explanation: 2 x (-4) is -8. Therefore you get y = -8x - 1

(please mark as brainliest) :D

5 0
3 years ago
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