Answer:
1/3
Step-by-step explanation:
2nd one
To simplify, we can use the FOIL method. That stands for first, outer, inner, last. What we do is take two factors at a time and multiply the first terms by each other, the outer terms together, etc.
Let's start with (2x-1) and (x+5)
First: 2x * x = 2x^2
Outer: 2x * 5 = 10x
Inner: -1 * x = -x
Last: -1 * 5 = -5
2x^2 + 9x - 5
Now FOIL this result with (3x - 2)
6x^3 - 4x^2 + 27x^2 - 18x - 15x + 10
Simplify:
6x^3 - 23x^2 - 33x + 10
<em>Hope</em><em> </em><em>t</em><em>h</em><em>i</em><em>s</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>.</em>
Answer:
a = 13.8
(missing length of triangle = 13.8 meters)
Step-by-step explanation:
The side lengths of a triangle can be related using the Pythagorean Theorem;
a² + b² = c²
where
a = one side length
b = other side length
c = hypotenuse (long side --across from 90° angle)
So, by plugging our values into the Pythagorean Theorem, we can solve for a:
a = unknown
b = 18.4
c = 23
a² + b² = c²
a² + 18.4² = 23²
a² + 338.56 = 539
- 338.56 - 338.56 {subtract 338.56 from both sides to isolate a}
a² = 190.44
√a² = √190.44
a = 13.8
so, the missing length of the triangle is 13.8 m
hope this helps!!
Step-by-step explanation:
169 = (13)²
169 is the square of 13.
