The length of SR is 10 inches ⇒ answer B
Step-by-step explanation:
The median of a triangle is the segment drawn from one vertex to
the mid-point of the opposite side to this vertex
In Δ PQR
1. QS is a median
2. RT is a median
We need to find the length of SR
∵ QS is a median in Δ PQR
∵ PR is the opposite side to vertex Q
∴ S is the mid-point PR
∴ PS = SR
∵ PS = 4x - 2
∵ SR = 2x + 4
∴ 4x - 2 = 2x + 4
- Subtract 2x from both sides
∴ 2x - 2 = 4
- Add 2 to both sides
∴ 2x = 6
- Divide both sides by 2
∴ x = 3
Substitute the value of x in the expression of SR
∵ SR = 2x + 4
∵ x = 3
∴ SR = 2(3) + 4
∴ SR = 6 + 4
∴ SR = 10 inches
The length of SR is 10 inches
Learn more:
You can learn more about triangles in brainly.com/question/3358617
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Answer:
1 pound of avocado costs $1.8.
Step-by-step explanation:
This problem is just a simple division problem. We jest need to divide the given values to get the answer. For our problem, to know the price of 1 pound of avocado, we need to divide the $9 by 5 since the problem stated that the price of 5 pounds of avocados is $9.
Given:
5 pounds avocados = $9
Required:
cost of 1 pound of avocado
Solution:
$9 / 5 pounds = $1.8/pound
1 pound avocado = $1.8
Notice from the first line of solution, the unit became $ per pound. This means that we did the right operation since we are looking for the price per pound.
To check if we computed for the correct value, we should multiply $1.8 to 5. If the answer from doing this is $9, then our answer is correct.
Checking:
$1.8 * 5 = $9
Therefore, the cost of 1 pound of avocado is $1.8
Step-by-step explanation:
Answer:
![x(\sqrt[12]{x^5} )](https://tex.z-dn.net/?f=x%28%5Csqrt%5B12%5D%7Bx%5E5%7D%20%29)
Step-by-step explanation:
We need to remember 2 rules when doing these:
1. ![\sqrt[n]{x^a} =x^{\frac{a}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Ea%7D%20%3Dx%5E%7B%5Cfrac%7Ba%7D%7Bn%7D%7D)
2. 
Using these 2 rules, we can simplify the product (steps shown below):
![\sqrt[3]{x^2} *\sqrt[4]{x^3} \\=x^{\frac{2}{3}}*x^{\frac{3}{4}}\\=x^{\frac{2}{3}+\frac{3}{4}}\\=x^{\frac{17}{12}}\\=x^{\frac{12}{12}+\frac{5}{12}}\\=x(x^{\frac{5}{12}})\\=x(\sqrt[12]{x^5} )](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E2%7D%20%2A%5Csqrt%5B4%5D%7Bx%5E3%7D%20%5C%5C%3Dx%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%2Ax%5E%7B%5Cfrac%7B3%7D%7B4%7D%7D%5C%5C%3Dx%5E%7B%5Cfrac%7B2%7D%7B3%7D%2B%5Cfrac%7B3%7D%7B4%7D%7D%5C%5C%3Dx%5E%7B%5Cfrac%7B17%7D%7B12%7D%7D%5C%5C%3Dx%5E%7B%5Cfrac%7B12%7D%7B12%7D%2B%5Cfrac%7B5%7D%7B12%7D%7D%5C%5C%3Dx%28x%5E%7B%5Cfrac%7B5%7D%7B12%7D%7D%29%5C%5C%3Dx%28%5Csqrt%5B12%5D%7Bx%5E5%7D%20%29)
Rearranging, we see that it is the third choice.
Answer: -3x+10y
Step-by-step explanation:
Just add the like terms
6x-9x=-3x
8y+2y=10y
The equation then simplifies to -3x+10y
