Answer:
No, if fit means that the sides of the book case need to be flush with the wall, which means that the sides of the bookcase are touching the wall and the bookcase fits perfectly in that spot
Step-by-step explanation:
A square room will have corners that meause 90°, so we need to see if any of the vertices of the bookcase measure 90°. All right triangles have a 90° in them, so we can use Pythagorean Theorem to solve this.
Pythagorean Theorem is a² + b² = c², where a and b are the legs, and c is the hypotenuse. Since the hypotenuse is always the longest side, for our bookshelf, 10 and 12 are the legs, and 18 would be the hypotenuse if it is a right triangle. Plug the values in to see if the equation is true or false
10² + 12² = 18²
100 + 144 = 324
244 ≠ 324 so the bookcase does not form a right angle, and won't fit in the corner of the room
Answer:
Step-by-step explanation:
You have shared only one graph, that of a quadratic function with vertex at (0, 0) and an equation based upon y = ax^2, where a is a constant coefficient.
Please go back to the source of your question and describe the other graphs that were given to you.
The graph that shows a straight line is the linear function.
If you would like to find the width of the frame in feet, you can do this using the following steps:
length * width = area
3 1/8 feet * width = 2 3/4 square feet
25/8 feet * width = 11/4 square feet
25/8 * width = 11/4
width = 11/4 / 25/8
width = 11/4 * 8/25
width = 22/25 = 0.88 feet
The correct result would be 22/25 feet.
Answer:
see below
Step-by-step explanation:
Part 1: 5(2x - 4) = 30.
Distribute
10x -20 = 30
Add 20 to each side
10x-20+20 =30+20
10x = 50
Divide by 10
10x/10 = 50/10
x =5
Part 2: 5x + 3 - x + 2 = 41
Combine like terms
4x +5 = 41
Subtract 5 from each side
4x+5-5 = 41-5
4x = 36
Divide by 4
4x/4 = 36/4
x = 9
