Answer:
Answer in picture.
Step-by-step explanation:
The height of the triangle is 11.3 in. The correct option is C. 11.3 in
<h3>Calculating height of triangle </h3>
From the question, we are to determine the height of the given triangle
The height of the given triangle is x in.
Now, we will determine the value of x
In the diagram, we can observe that the height divides the triangle into two equal halves
Thus,
By the<em> Pythagorean theorem</em>, we can write that
12² = x² + 4²
144 = x² + 16
144 - 16 = x²
∴ x² = 144 - 16
x² = 128
x = √128
x = 11.3
Hence, the height of the triangle is 11.3 in. The correct option is C. 11.3 in
Learn more on Calculating height of a triangle here: brainly.com/question/21140865
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Answer: (x, y)=(0, -6)
Step-by-step explanation:
To solve a system of equations there are usually 3 general ways.
- Elimination
- Substitution
- Augmented Matrix
Since the question is asked to use <u>elimination</u>, we are going to use it.
--------------------------------------------------------------------------------------
-5x+4y=30
2x+3y=-12
-10x+8y=60
10x+15y=-60
23y=0
y=0
------------------------------------------------------------------------------------------
Substitute the y value into any one of the equations
2x+3y=-12
2x+3(0)=-12
2x+0=-12
x=-6
Hope this helps!! :)
Please let me know if you have any questions
Answer:
24 ft
Step-by-step explanation:
slope 1 = 2-3 /1- -1 = -1/2 Change in A & B
slope 2 = -1-2 / -3 -1 = 3/4 Change in B & C
slope 3 = 3 - -1 / -1 - -3 = 2 Change in A & C
since slope 1 is a negative reciprocal of slope 3
the triangle is a right triangle