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Luba_88 [7]
3 years ago
5

Vanessa draws one side of equilateral ΔABC on the coordinate plane at points A(–2, 1) and B(4,1). What are the possible coordina

tes of vertex C? Select all that apply. plsssss help ill pray for who ever helps meeee
Mathematics
1 answer:
sukhopar [10]3 years ago
7 0

Answer:

Possible C:

(1 , 1 + 3sqrt(3))

(1 , 1 - 3sqrt(3))

Step-by-step explanation:

AB = 6 units

Midpoint of AB is (1,1)

C would be at x = 1

So, (1,y)

(y-1)² + (1+2)² = 6²

(y-1)² = 36 - 9

(y-1)² = 27

y - 1 = 3sqrt(3)

y - 1 = -3sqrt(3)

y = 1 + 3sqrt(3)

y = 1 - 3sqrt(3)

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Leokris [45]

answer right 2, up 3

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g(x) = (x – a)² + b

were a moves the function to the right when a is a positive number and to the left when its a negative number, and b moves the function up when b is positive and down when its negative.

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3 years ago
{4x+10y=8<br>{4x+3y=22<br><br>x=<br>y=​
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Step-by-step explanation:

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3 years ago
Find values of  that satisfy the equation for 0º    360º and 0  θ  2 . Give answers in degrees and radians.
suter [353]

Answer:

\theta = 30^\circ, 330^\circ

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

Step-by-step explanation:

Given [Missing from the question]

Equation:

cos\theta = \frac{\sqrt 3}{2}

Interval:

0 \le \theta \le 360

0 \le \theta \le 2\pi

Required

Determine the values of \theta

The given expression:

cos\theta = \frac{\sqrt 3}{2}

... shows that the value of \theta is positive

The cosine of an angle has positive values in the first and the fourth quadrants.

So, we have:

cos\theta = \frac{\sqrt 3}{2}

Take arccos of both sides

\theta = cos^{-1}(\frac{\sqrt 3}{2})

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In the fourth quadrant, the value is:

\theta = 360 -30

\theta = 330

So, the values of \theta in degrees are:

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Convert to radians (Multiply both angles by \pi/180)

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\theta = \frac{\pi}{6}, \frac{33 * \pi}{18}

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\theta = \frac{\pi}{6}, \frac{11\pi}{6}

8 0
3 years ago
The lenght of a rectangle is 4 meters more than twice the width. Find the greatest possible value for the width if the perimeter
djyliett [7]
2(L + W) < = P
L = 2W + 4
P 38

2(2W+4 + W)  = 38
4W + 8 + 2W = 38
6W + 8 = 38
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3 years ago
Choose the congruence theorem that you would use to prove the triangles congruent.
butalik [34]
Your answer is ASA BUDDY
8 0
3 years ago
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