Answer:
- ( -4, -1 ) and ( -9, - 6)
Step-by-step explanation:
<h3>Given</h3>
- (x - 1)^2 + (y + 3)^2 = 13
-
x + y = -3
<h3>Solution</h3>
<u>From the second equation we get</u>
<u>Substituting x in the first equation</u>
- (- y - 3 - 1)^2 + (y + 3)^2 = 13
- (-y - 4)^2 + (y + 3)^2 = 13
- (y+4)^2 + (y+3)^2 = 13
- y^2 + 8y + 16 + y^2 + 6y + 9 = 13
- 2y^2 + 14y + 12 = 0
- y^2 +7y +6 = 0
- (y+1)(y+6) = 0
- y = - 1
- y = - 6
<u>Then</u>
<u>Answer</u>
- ( -4, -1 ) and ( -9, - 6)
Answer:
96 laps
Step-by-step explanation:
2 hours = 2 * 60 = 120 minutes
So now the question would be as given below:
8 laps in 10 minutes so how many laps in 120 minutes.
Since, no. of laps and minutes are in proportion.
![\therefore \: \frac{8}{10} = \frac{x}{120} \\ \\ x = \frac{8 \times 120}{10} \\ \\ x = \frac{960}{10} \\ \\ x = 96 \:](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7B8%7D%7B10%7D%20%20%3D%20%20%5Cfrac%7Bx%7D%7B120%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B8%20%5Ctimes%20120%7D%7B10%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B960%7D%7B10%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%2096%20%5C%3A%20)
1.) 8,281 people/km²
2.)
3.) 1226.88 grams
4.) 999.74 grams
5.) 6
I am not sure about number 2.
I think you can only say that the width of the quadrilateral will be 5.
OH no it will be a rectangle and the length will be 1/2 * 20 = 10
so the perimeter is 2*5 + 2*10 = 30 <---- answer