<u>Given </u><u>:</u><u>-</u><u> </u>
- An extension ladder with 3 five-foot extensions is leaned against a wall with the base of the ladder 5 feet from the base of the wall.
<u>To </u><u>find</u><u> </u><u>:</u><u>-</u>
- How high on the wall does the top of the ladder sit?
<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>
Using Pythagoras Theorem ,
- 5² = 3² + h²
- 25 = 9 + h ²
- h² = 25 - 9
- h ²= 16
- h =√16
- h = ±4
- h = 4
Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line. Alternatively, add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates.
let h= history books
science books = s
h=2s there are 2 times as many history as science so to get them equal we double the science
h+s=81 there are 81 total history and science books
2s+s=81 substitute 2s for h in the above equation
3s = 81 combine like terms
s = 27
There are 27 science books
h=2s
h=2(27)
h=54
there are 54 history books
Answer:
the 3rd one. the rest are randomized.
Step-by-step explanation:
Answer:
3. 2x + y = 21.
Step-by-step explanation:
3. The diagonals of a rhombus are perpendicular and bisect each other.
So the slope of line AC = -1/m
= -1 / 1/2 = -2.
AC has coordinates (5, 11) so using the point-slope form of a line:
y - 11 = -2(x - 5)
y = -2x + 10 + 11
2x + y = 21.
5. Line L:
x + 2y = 12
2y = -x + 12
y = -1/2x + 6
The slope is -1/2 so the slope m of M is -1 / -1/2 = 2.