Answer:
A) y = x^2 -1
B) -y = 2x^2 +1 We multiply B) by -1
B) y = -2x^2 -1
We can then say x^2 -1 = -2x^2 -1
3 x^2 = 0
x = 0
************* Double-Check: ******************
Equation A) y = -1 and
Equation B) y = -1
Step-by-step explanation:
Answer:
About 79 boys i think
Step-by-step explanation:
:)
Answer:
Perpendicular bisector - A line that bisects another line into two equal halves so that four right angles are created.
Cylinder - A 3D solid with circles as its bases.
Plane - A flat, 2D surface that extends infinitely.
Regular Polygon - A polygon where all angles and all sides are equal (ex. square, pentagon, triangle).
Answer:
The area of the rectangle on the left side is

The area of the bottom rectangle is

The total area of the composite figure will be

Step-by-step explanation:
The area of any given rectangle can be found by multiplying the length of that rectangle by its width. The rectangle on the left side has a length of 9cm but the width is unknown. To find the width, we subtract 6cm from the width of the bottom rectangle: 10cm. And that gives us 4cm.
Therefore, we can now calculate the area to be: length × width = 9cm × 4cm = 36cm²//
The area of the bottom rectangle can be found similarly by multiplying the length: 2cm by the width: 6cm of that rectangle. And the result gives us: 2cm × 6cm = 12cm²//
The total area of the composite figure is calculated by adding the results from the left and bottom rectangles together. And that gives us: 36cm² + 12cm² = 48cm²//
The content of care package would be a board game and several snack packs.
Given is the weight of board game = 4 pounds.
The weight of one snack pack =
The total weight would be less than 25 pounds.
Solving for part A :
Let 'x' represents the number of snack packs.
So the weight of all snack packs would be 0.5x pounds.
Now weight of care pack = weight of board game + weight of all snack packs.
weight of care pack = 4 + 0.5x
But total weight must be less than 25 pounds.
So the inequality would be: 4 + 0.5x < 25
Solving for part B :
Solving the inequality 4 + 0.5x < 25
⇒ 4 + 0.5x - 4 < 25 - 4
⇒ 0.5x < 21
⇒ x < 42
Solving for part C :
Since x < 42 and x is an integer number, so x = 41.
She can include maximum of 41 snack packs in the care package.