What is the solution set of x2 + y2 = 26 and x − y = 6? A. {(5, -1), (-5, 1)} B. {(1, 5), (5, 1)} C. {(-1, 5), (1, -5)} D. {(5,
Rus_ich [418]
He two equations given are
x^2 + y^2 = 26
And
x - y = 6
x = y +6
Putting the value of x from the second equation to the first equation, we get
x^2 + y^2 = 26
(y + 6) ^2 + y^2 = 26
y^2 + 12y + 36 + y^2 = 26
2y^2 + 12y + 36 - 26 = 0
2y^2 + 12y + 10 = 0
y^2 + 6y + 5 = 0
y^2 + y + 5y + 5 = 0
y(y + 1) + 5 ( y + 1) = 0
(y + 1)(y + 5) = 0
Then
y + 1 = 0
y = -1
so x - y = 6
x + 1 = 6
x = 5
Or
y + 5 = 0
y = - 5
Again x = 1
So the solutions would be (-1, 5), (1 , -5). The correct option is option "C".
If two fractions have the same denominator, that means the total number of parts is the same. For example, you have two batches of cookies, which each have 8 cookies.
But the numerator tells you the number of parts you are dealing with. Going back to our cookie example, say you ate 3 cookies and your little brother only had 1. If you ate 3 cookies, you ate 3/8 of the cookies. Your little brother ate 1/8 of the cookies.
So, which one is the greatest fraction? In this case, who had more cookies? That would be you. So, the greater numerator means a greater fraction.
Answer: the fraction with the greater numerator
For a regular 17-gon, the measure of the internal angles is:
a = 158.8°
<h3>
How to measure the internal angles?</h3>
The measure of the sum of the internal angles of a regular figure of N sides is:
(N - 2)*180°
For the case where N = 17, we have:
(17 - 2)*180° = 2,700°
That is the measure of the sum of the internal angles, and we have 17 of them, so the measure of each angle is:
2,700°/17 = 158.8°
If you want to learn more about angles, you can read:
brainly.com/question/17972372
Answer: 5p + 3q
Explantation: 5 pineapples is going to be multiplied by p, the cost of 1. And 3 mangoes are going to be multiplied by q, the cost of 1. And adding the two totals together gives you the total cost.
