X+Y=10
XY=-300
Solve for one of the variables
X=10-Y
Plug into the other equation
Y(10-Y)=-300
Now, you have a quadratic...
-y²-10y+300=0
I would multiply everything by -1, so there's no coefficient on y²
y²+10y-300=0
And solve...
-10±√(100-4(-300))
----------------------------
2
Y=-5±5√(13)
Plug back onto original equation...
X+(-5±5√(13))=10
X±5√(13)=15
X=15±5√(13)
Note: There are 2 sets of answers, keep the negatives with the negatives, and the positives with the positives when dealing with the ±.
Answer: 17: No, the triangles are not similar.
I'm sorry, that is the best I can do, I forgot all about triangles ;-;
Step-by-step explanation:
Thickness of nickel: millimetres (mm)
height of cereal box: centimetres (cm)
Answer:
Correct option: Fourth one -> 17 square units
Step-by-step explanation:
The points A and B have the same y-coordinate, so they create a horizontal segment that will be the base of the rectangle.
The points B and C have the same x-coordinate, so they create a vertical segment that will be the height of the rectangle.
The length of the side AB is the distance from A to B. They have the same y-coordinate, so the distance is the difference of the x-coordinates:
side AB = |0 - (-1)| = 1 unit
The length of the side BC is the distance from B to C. They have the same x-coordinate, so the distance is the difference of their y-coordinates:
side BC = |-8 - 9| = 17 unit
Then the area of the rectangle is:
Area = AB * BC = 1 * 17 = 17 square units
Correct option: Fourth one