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2 years ago

What is the image point (0,2) after a rotation of 90 degree counterclockwise about the origin

2 answers:

6 0

The answer is (-2,0)
When you rotate 90 degrees counterclockwise you have to switch the x and the y then change the sign to the original y which in this case will be 2.

Sidana [21]2 years ago

5 0

Answer:

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A, B, and C are collinear, and B is between A and C. The ratio of AB to BC is 1:4.

schepotkina [342]

Let point C has coordinates $(x_C,y_C).$ Consider vectors

$\overrightarrow{AB}=(x_B-x_A,y_B-y_A)=(8-9,6-9)=(-1,-3),\\ \\\overrightarrow{BC}=(x_C-x_B,y_C-y_B)=(x_C-8,y_C-6).$

Since the ratio AB to BC is 1:4, you have that

$\dfrac{-1}{x_C-8}=\dfrac{1}{4}\quad \text{and}\quad \dfrac{-3}{y_C-6}=\dfrac{1}{4}.$

Find $x_C$ and $y_C:$

$x_C-8=-4,\\ \\x_C=-4+8=4,\\ \\y_C-6=-3\cdot 4=-12,\\ \\y_C=-12+6=-6.$

Answer: C(4,-6)

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2 years ago

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Point H is the incenter of triangle ABC. Find BD. a. 7.5<br> b. 8.5<br> c. 9.2<br> d. 9.7

Mademuasel [1]

Check the picture below

notice, using the 30-60-90 rule, since that triangle is a 30-60-90 triangle, we get 11 = 2x

6 0

2 years ago

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The GCF of 15 and 27 is _____.

jeka94

Answer:

The answer is 3

Step-by-step explanation:

List all prime factors

15:1,3,5,

27:1,3,

Biggest one is 3

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2 years ago

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A square has a perimeter of 36 cm.<br> What is the length of each side?

larisa [96]

9 cm i hope this helps

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2 years ago

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Sandra is 4 feet tall. Pablo is 10% taller than Sandra and Michaels is 8% taller than Pablo. What is Michael height in feet

taurus [48]

We first calculate Pablo's height .

4 = 100%

x = 1% (Where x is 1% of Sandra's height.)

cross multiplying the equation, we get:

100x = 4 → x = 4/100 → x = 0.04

If 1% = 0.04, then 10% will be 0.04 × 10 = 0.4

Pablo's height is 4 + 0.4 = 4.4 feet.

Now we repeat the above steps to get Michal's height from Pablo's height

4.4 = 100%

x = 1% so:

100x = 4.4 → x = 4.4/ 100 → x = 0.044

If 1% = 0.044, then 8% will be 0.044 × 8 = 0.35

Michael's height is 4.4 + 0.35 = 4.75 feet.

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3 years ago