Answer:
12.5
Step-by-step explanation:
square root of 10^2 - 8^2 = 6 gives us missing side
sin^-1(8/10) = 53.13 gives us half of the angle
90-53.13 = 36.869 gives us the angle of the triangle on the right
tan(36.869) x 6 = 4.5
4.5 + 8 = 12.5
Hope that helps,
Good Luck! x
Answer:
Step-by-step explanation:
y=3(x-3)(x-4)
=3(x²-4x-3x+12)
or y=3(x²-7x+12)
or y=3x²-21x+36
The consecutive even integers are 8, 10 and 12.
<h3>How to calculate the value?</h3>
Let the integers be x, x + 2, and x + 4.
Therefore, the equation will be:
6(x) = x + 2 + x + 4 + 26
6x = 2x + 32
Collect like term
6x - 2x = 32
4x = 32
Divide
x = 32/4.
x = 8
The numbers are 8, 10 and 12.
Learn more about integers on:
brainly.com/question/17695139
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Answer:
No; the slopes of segment EF and segment DF are not opposite reciprocals.
Step-by-step explanation:
The slope between two points O(e, f) and X (g,h) is given as:
The slopes of segment EF and segment DF are given below:
For triangle DEF to be a right triangle, DF and EF are supposed to be perpendicular to each other. Two line are said to be perpendicular if the product of their slope is -1, i.e the slope of one line is the negative reciprocal (opposite reciprocal) of the other line.
Since the slope of DF and EF are not opposite reciprocals, ΔDEF is not a right triangle.
Step-by-step explanation:
4(3x-1)=9-x
12x-4=9-x
12x+x=9+4
13x=13
x=13/13
x=1
