Answer:
- WX =
- XY =
- WY =
- Classify: Isosceles
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Explanation:
Apply the distance formula to find the length of segment WX
W = (x1,y1) = (-10,4)
X = (x2,y2) = (-3, -1)
Segment WX is exactly units long which approximates to roughly 8.6023253
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Now let's find the length of segment XY
X = (x1,y1) = (-3, -1)
Y = (x2,y2) = (-5, 11)
Segment XY is exactly units long which approximates to 12.1655251
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Lastly, let's find the length of segment WY
W = (x1,y1) = (-10,4)
Y = (x2,y2) = (-5, 11)
We see that segment WY is the same length as WX.
Because we have exactly two sides of the same length, this means triangle WXY is isosceles.
Your answer is y = -3x + 1
To find the equation of the line we need both the slope and where it intercepts the y-axis. We are given where it intercepts the y-axis because they tell us it goes through the point (0, 1) and this is a point where x = 0, so it must be on the y-axis.
The equation for finding the slope of a line given two points is where and are points on the line. Using this, we can substitute in the points we're given and get:
(-5 - 1)/(2 - 0) = -6/2 = -3
Therefore our slope is -3 and our intercept is 1, so the final answer is y = -3x + 1
I hope this helps!
Right triangles cant be found with the lengths of the sides of the triangle it’s the degrees of the actual Angles within the triangle a right triangle has at least one 90 degree angle
Answer:
4 units
Step-by-step explanation:
Create an equation where w is the width of the rectangle
Use the area formula, A = lw.
Since the length is the sum of the width and 1, it can be represented by w + 1
Plug in this and the area into the formula, and solve for w
A = lw
20 = (w + 1)(w)
20 = w² + w
w² + w - 20
(w + 5)(w - 4)
Solve for w:
w + 5 = 0
w = -5
w - 4 = 0
w = 4
Since the width cannot be negative, the answer must be 4.
So, the width of the rectangle is 4 units.