Answer:
For longest x = 6.4
For shortest x = 3
Step-by-step explanation:
Given a right angle triangle with lengths 4 units and 5 units and x units .
x can be gotten using Pythagoras theorem .
If x Is the longest side , then
x^2 = 5^2 + 4^2
= 5x5 + 4x4
= 25 + 16
x^2 = 41
x = squared root of 41
x = 6.4
If x is the shortest side ,
x^2 = 5^2 - 4^2
= 5x5 - 4x4
= 25 - 16
x^2 = 9
x = squared root of 9
x = 3
Answer:
see below
Step-by-step explanation:
I enter the equation into a graphing calculator and let it do the graphing.
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If you're graphing this by hand, you start by looking for the parent function. Here, it is |x|. That has a vertex of (0, 0) and a slope of +1 to the right of the vertex and a slope of -1 to the left of the vertex.
Here, the function is multiplied by -3/2, so will open downward and have slopes of magnitude 3/2 (not 1). The graph has been translated 5 units upward, so the vertex is (0, 5).
I'd start by plotting the vertex point at (0, 5), then identifying points with slope ±3/2 either side of it. To the left, it is left 2 and down 3 to (-2, 2). The points on the right of the vertex are symmetrically located about the y-axis, so one of them will be (2, 2).
Of course, you don't plot any function values for x > 4.
Answer:
- D(5, 4), E(14, 7), M(9.5, 5.5)
Step-by-step explanation:
As AD = 1/4AB and DE ║ AC, the ratio CE/CB = 1/4, or CE = 1/4CB
<u>Find the coordinates of D:</u>
- x = 1 + 1/4(17 - 1) = 1 + 4 = 5
- y = 5 + 1/4(1 - 5) = 5 - 1 = 4
<u>Find the coordinates of E:</u>
- x = 13 + 1/4(17 - 13) = 13 + 1 = 14
- y = 9 + 1/4(1 - 9) = 9 - 2 = 7
<u>Find the coordinates of the midpoint M of DE:</u>
- x = (5 + 14)/2 = 19/2 = 9.5
- y = (4 + 7)/2 = 11/2 = 5.5
Answer:
AB = 150 degrees
Step-by-step explanation:
Right triangle has a 90 degree angle. One angle is 30 degrees. There is 180 degrees in one triangle. 180-30= 150.
<h3>Hope this is Helps!!!!</h3>