I'm stuck on this question, please help. Thank you!!!
2 answers:
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To find the length of the missing side, you can use the Pythagorean Theorem, which you can only use for right triangles.
Pythagorean Theorem: a² + b² = c²
[ c is the hypotenuse or the longest side of the triangle, and a and b are the other sides, I think it doesn't matter which side ]
Plug in what you know:
b = 8
c = 14
a² + b² = c²
a² + (8)² = (14)²
a² + 64 = 196 Subtract 64 on both sides
a² = 132 Square root both sides to get "a" by itself
a = inches
If you need to simplify more, you need to find two numbers that multiply to = 132 where one of them can be square rooted, to do so you can list the greatest common factors of 132
132: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The only number that can be square rooted is 4, so you can do:
ANSWER
y = x + 7
EXPLANATION
We want to use the two points to form a linear equation in slope-intercept form.
That is in the form:
y = mx + c
To do this, we first find the slope by using formula:
where (x1, y1) = (3, 10)
(x2, y2) = (6, 13)
So, we have that:
The slope, m, is 1.
Now, we use the point-slope formula to find the equation. That is:
That is the answer.