Answer:
3 < c < 13
Step-by-step explanation:
A triangle is known to have 3 sides: Side a, Side b and Side c.
For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).
To solve the above question, we would be using the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.
Side a + Side b > Side c
Side a + Side c > Side b
Side b + Side c > Side a
For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,
side (a) = 5
side (b) = 8
Let's represent the third side as c
To solve for the above question,we would be having the following Inequality.
= b - a < c < b + a
= 8 - 5 < c < 8 + 5
= 3 < c < 13
Answer:
The equation 4x-7x=9 simplifies into x=-3, which is a horizontal line. A perpendicular line would be vertical, and the equation for vertical lines is y=b, b being a constant. In this case on the point (4,3), y is 3, so the equation of the line is y=3.
Answer: 5-13i
Step-by-step explanation:
Because it has a slope of 5, we can already set up part of the equation:
y = 5x
Now, we need to find the y-intercept.
We can do that by subtracting 1 from the x value of the provided coordinate pair, and subtracting 5 from 9.
1 - 1 = 0
9 - 5 = 4
The y-intercept is 4.
<h3><u>Our equation is y = 5x + 4</u></h3>
2/3 divided by 4= 2/3x1/4 (flip 4 around). 2x1=2 & 3x4=12. 2/12 or 1/6
