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mars1129 [50]
3 years ago
13

Consider the following set of equations Equation A; y=-x+5 Equation b ;y=6x-2

Mathematics
1 answer:
sp2606 [1]3 years ago
3 0

Step-by-step explanation:

6x-2= -x+5

6x+x=5+2

7x=7

x=1

then ,y= -1+5

y=4

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3 years ago
What is the slope of each side of the triangle? the sides are A(-2,4) B(-1,1) C(2,3)
Rashid [163]

Answer:

The slopes of three sides of triangle are as follows:

AB = -3

BC = 2/3

AC = -1/4

Step-by-step explanation:

The slope is denoted by m and is calculated using the formula

m = \frac{y_2-y_1}{x_2-x_1}

The given vertices are:

A(-2,4) B(-1,1) C(2,3)

The sides will be:

AB, BC, AC

Let m1 be the slope of AB

Let m2 be the slope of BC

Let m3 be the slope of AC

Now

Slope\ of\ AB = m_1 = \frac{1-4}{-1+2} = \frac{-3}{1} = -3\\Slope\ of\ BC = m_2 = \frac{3-1}{2+1} = \frac{2}{3}\\Slope\ of\ AC = m_2 = \frac{3-4}{2+2} = \frac{-1}{4} = -\frac{1}{4}

Hence,

The slopes of three sides of triangle are as follows:

AB = -3

BC = 2/3

AC = -1/4

6 0
2 years ago
​
Burka [1]

Answer:

y=mx+b

Step-by-step explanation:

The slope-intercepts formula, the y = y coordinate, m = slope, x = x coordinate, b = y intercept

5 0
2 years ago
The midpoint of UV is point W. What are the coordinates of point V?
madreJ [45]

Since you don't provide the coordinates of the point W, I will help you in a general form anyway. In the Figure below is represented the segment that matches this problem. We have two endpoints U and V. So, by using the midpoint formula we may solve this problem:

Midpoint=W=W(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})=W(x_{3}, y_{3}) \\ \\ where:\\ \ U=U(x_{1}, y_{1}) \ and \ V=V(x_{2}, y_{2}) \\ \\ and: \\ x_{3}=\frac{x_{1}+x_{2}}{2} \\ y_{3}=\frac{y_{1}+y_{2}}{2}

Therefore:

x_{2}=2x_{3}-x_{1} \\ y_{2}=2y_{3}-y_{1}

So we know x_{3} \ and \ y_{3} but we also must know x_{1} \ and \ y_{1}

Finally, knowing the points U and W we can find the endpoint V.

7 0
3 years ago
Read 2 more answers
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