Answer:
3rd answer
Step-by-step explanation:
Difficult to sxplain but basically all inequalities are correctly plotted on the graph.
Answer:
Alan buys 12.05 ounces of sour patch kids candy in all.
Step-by-step explanation:
We are given that Alan buys 5.3 ounces of sour patch kids candy. After sharing with his friends he returns to buy an additional 6.75 ounces.
And we have to find the total ounces he buys in all.
As we know that for finding the total quantity or amount, we will use addition for calculating it.
Firstly, Alan buys = 5.3 ounces of sour patch kids candy
Additional ounces of sour patch kids candy Alan buys = 6.75
So, the total ounces of sour patch kids candy he buys in all = 5.3 + 6.75
= 12.05 ounces
Hence, he buys 12.05 ounces in all.
Answer:
The answer is 10 and 37 degrees.
Step-by-step explanation:
Triangle angles add up to 180.
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Answer:

Step-by-step explanation:
Given



Required
The locus of P

Express as fraction

Cross multiply

Calculate AP and BP using the following distance formula:

So, we have:


Take square of both sides
![4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2](https://tex.z-dn.net/?f=4%20%2A%20%5B%28x%20%2B1%29%5E2%20%2B%20%28y%20%2B2%29%5E2%5D%20%3D%20%28x%20-%202%29%5E2%20%2B%20%28y%20-%204%29%5E2)
Evaluate all squares
![4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16](https://tex.z-dn.net/?f=4%20%2A%20%5Bx%5E2%20%2B%202x%20%2B%201%20%2B%20y%5E2%20%2B4y%20%2B%204%5D%20%3D%20x%5E2%20-%204x%20%2B%204%20%2B%20y%5E2%20-%208y%20%2B%2016)
Collect and evaluate like terms
![4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20](https://tex.z-dn.net/?f=4%20%2A%20%5Bx%5E2%20%2B%202x%20%2B%20y%5E2%20%2B4y%20%2B%205%5D%20%3D%20x%5E2%20-%204x%20%2B%20y%5E2%20-%208y%20%2B%2020)
Open brackets

Collect like terms


Divide through by 3

The factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).
<h3>What is a factor?</h3>
A factor of n is a number which when multiplied by another number gives us the number n.
In order to factorize the polynomial 6x³ – 12x² + 7x – 14, we need to take the common terms out of the given polynomial, therefore, the polynomial can be factorized as,

Taking the common term 6x² out from the first two terms, and then 7 from the next two terms, therefore, the polynomial can be written as

Hence, the factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).
Learn more about Factors:
brainly.com/question/6810544