Hey there!!
We have:
... x² + y² = 25
... x² + y² = 5²
... y² = 5² - x²
and
... y² - 2x = 25
... y² - 2x = 5²
We know y² = 5² - x²
... 5²-x²-2x = 5²
... -x² - 2x = 5²-5²
... -x² - 2x = 0
... x(-x-2) = 0
... -x-2 = 0
... -x = 2
... x = -2
<em>Hence, the value of x is -2. </em>
... x² + y² = 25
... (-2)² + y² = 25
... 4 + y² = 25
... y² = 25 - 4
... y² = 21
... y = √21
<em>Hence, the value of 'y' is √21. </em>
Hope my answer helps!!
2/1 or just 2 is the steepest, because it is the closest to the y-axis.
Steepest slope is: 2/1 or just 2
Steep but not that is: 3/5
Not steep is: 1/3
M is Matt's sticker count, D is David's:
The equations:
The average sticker count has to be 120, so:
(M + D) / 2 = 120
Matt has twice as many as David:
M = 2D
Substitute for M in the average, so:
(2D + D) / 2 = 120
Solving you get:
3D = 240
D = 80 and 120 - 80 is 40, so Matt has to give him 40 stickers.
Hope this helps :)
Answer: 40 peaches
<u>Step-by-step explanation:</u>
Let x represent (1/2) the peaches
and y represent (1/2) the strawberries
<u>Peaches</u> <u>Strawberries</u> <u>Ratio</u>
Alice: x - 3 y 1:4
Bryan: x y - 8 1:3
We can create a system of equations:
Alice: 4(x - 3) = y --> 4x - 12 = y
Bryan: 3(x) = y - 8
Substitute y = 4x - 12 into the Bryan equation:
3x = (4x - 12) - 8
3x = 4x - 20
-x = -20
x = 20
Therefore, Alice and Bryan each had 20 peaches, which means Bryan bought a total of 40 peaches.