Answer:
The sides are
6
inches,
8
inches and
10
inches
Explanation:
I'd suggest that the question should read 'The perimeter of a triangle is 24 inches. The longest side is 4 inches longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?'
In this case the question can be answered. If
x
is the length of the middle side, then the shortest side is 3/4x and the longest side is 3/4x+4
x+3/4x+3/4x+4=24
10/4x=20
x=8
Then the shortest side is 6and the longest side is 10
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
Step 1: Rewrite 9/18
9/18 = 1/2
Step 2: Rewrite problem
1/2 + 1/3
Step 3: Find GCD (Greatest common denominator)
6
Step 4: Rewrite fractions
3/6 + 2/6
Step 5: Add
5/6
Answer:
Error of Andrew: Made incorrect factors from the roots
Step-by-step explanation:
Roots of the polynomial are: 3, 2 + 2i, 2 - 2i. According to the factor theorem, if a is a root of the polynomial P(x), then (x - a) is a factor of P(x). According to this definition:
(x - 3) , (x - (2 + 2i)) , (x - (2 - 2i)) are factors of the required polynomial.
Simplifying the brackets, we get:
(x - 3), (x - 2 - 2i), (x - 2 + 2i) are factors of the required polynomial.
This is the step where Andrew made the error. The factors will always be of the form (x - a) , not (x + a). Andrew wrote the complex factors in form of (x + a) which resulted in the wrong answer.
So, the polynomial would be:
![(x - 3)(x - 2 - 2i)(x - 2+2i)=0\\\\ (x-3)(x^{2}-2x+2xi-2x+4-4i-2xi+4i-4i^{2})=0\\\\ (x-3)(x^{2}-4x+4+4)=0\\\\ (x-3)(x^{2}-4x+8)=0\\\\ x^{3}-4x^{2}+8x-3x^{2}+12x-24=0\\\\ x^{3}-7x^{2}+20x-24=0](https://tex.z-dn.net/?f=%28x%20-%203%29%28x%20-%202%20-%202i%29%28x%20-%202%2B2i%29%3D0%5C%5C%5C%5C%20%28x-3%29%28x%5E%7B2%7D-2x%2B2xi-2x%2B4-4i-2xi%2B4i-4i%5E%7B2%7D%29%3D0%5C%5C%5C%5C%20%28x-3%29%28x%5E%7B2%7D-4x%2B4%2B4%29%3D0%5C%5C%5C%5C%20%28x-3%29%28x%5E%7B2%7D-4x%2B8%29%3D0%5C%5C%5C%5C%20x%5E%7B3%7D-4x%5E%7B2%7D%2B8x-3x%5E%7B2%7D%2B12x-24%3D0%5C%5C%5C%5C%20x%5E%7B3%7D-7x%5E%7B2%7D%2B20x-24%3D0)
Answer:
5/7
Step-by-step explanation:
take the basic fact 5 - 3
Answer:
50
Step-by-step explanation:
If R is 65, then T must also be 65 because both of the sides are congruent. 65+65=130 and all angles on a triangle add to 180. Therefore 180-130 is 50