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
Passes through (1, 9) with a slope of 2.
Assuming that we want this in slope intercept form, which is y=mx+b (m=slope, b=y-intercept) then we need to find the y-intercept! :)
To find the y-intercept (or b!!) you simply need to plug everything into slope intercept form using our given points.
y = mx + b
Plug everything in.
9 = 2(1) + b
Simplify.
9 = 2 + b
Subtract 2 from both sides.
9 - 2 = b
b = 7
Therefore, our y-intercept is 7! :)
Now that we have both the y-intercept and the slope, we can finally plug this into a new equation, using slope intercept form.
y = mx + b
y = 2x + 7
~Hope I helped!~
Answer:
7) D
8) A
9) A
10) D
11) C
12) B
Step-by-step explanation:
Assuming that this is just on a 2-D coordinate plane, we must convert the expressions on to a 3-D plane since translation cannot be done on a 2-D plane. This is done by adding a dummy coordinate that does not change. Let us use "1" for this case.
Matrix:
| 0 0 -2 |(x) = (x - 2)
<span>| 0 0 4 |(y) = (y + 4)
</span><span>| 0 0 1 |(1) = 1</span>
Answer:
a
Step-by-step explanation:
