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miv72 [106K]
3 years ago
12

U(-3,6), V(-8, 1), W(-3,1) 180° rotation about the origin

Mathematics
1 answer:
Ad libitum [116K]3 years ago
7 0

Answer:

<em>U'</em>(3, -6), <em>V</em><em>'</em>(8, -1), <em>W</em><em>'</em>(3, -1)

Step-by-step explanation:

According to the <em>180°-rotation rule</em>, you take the OPPOSITE of both the y-coordinate and x-coordinate:

<u>Extended Rotation Rules</u>

270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)

270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)

180°-rotation >> (x, y) → (-x, -y)

I am joyous to assist you anytime.

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A line with a slope of -7 passes through the points (u,0) and (8,-7) what is the value of u?
laila [671]

Answer:

u = 7

Step-by-step explanation:

Using the slope intercept formula:

\frac{y2 - y1}{x2 - x1}  = slope

Substitute our values from the points and the known slope:

\frac{-7 - 0}{8 - u} = -7

Now we multiply both sides by (8 - u) to isolate the x:

(8-u) x \frac{-7}{8 - u} = -7 (8 - u)

Next we add 56 to both sides:

-7 = -56 + 7u

Finish off by dividing both sides by 7:

7u = 49

u = 7

6 0
3 years ago
Y=1/3x what is the slope
Karolina [17]

Answer:

Slope = \frac{1}{3}

Step-by-step explanation:

The equation for finding slope is:

y = mx+b

In the equation, m is the slope, x is the x-intercept, and b is the y-intercept. The number next to x is ALWAYS the slope.

Your equation:

y = \frac{1}{3} x

The number(fraction) next to x is \frac{1}{3}. Therefore, your answer will be \frac{1}{3}

3 0
3 years ago
What is the exact value of x?
Nadya [2.5K]
Exact value of x will be 8 x sin(60)

Exact value of sin 60 = √3/2

So √3/2 x 8= 8 √3/2

Can be simplified to 4 √3
8 0
2 years ago
A bottle of water contains 500 ml.
podryga [215]

Answer:

650ml

Step-by-step explanation:

30% = 0.30

0.30 x 500 = 150

500 + 150 = 650

8 0
3 years ago
Using the segment addition postulate, which is true? What is the measure of AngleDCF? Three lines extend from point C. The space
Flura [38]

Answer:

129

Step-by-step explanation:

If three lines CD, CE and CF extend from point C, then the following addition postulate is true;

<DCE + <ECF = <DCF

If the space between line C D and C E is 75 degrees, then <DCE =  75

If the space between lines C E and C F is 54, then <ECF = 54.

Substitute the given values into the expression above will  give;

<DCF =<DCE + <ECF

<DCF  = 75+54

<DCF  = 129

Hence the measure of <DCF  is 129°

8 0
3 years ago
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