Answer:
Volume= 2.92cubic yard
Step-by-step explanation:
Converting to ft
23ft9inches= 23+(9/12)=23.75ft
10ft 1 in= 10 +(1/12)= 10.083ft
4 inches= (4/12)=0.333ft
Volume= L×W×H
Volume= 23.75 × 10.083×0.33= 79.02ft^3
Converting to cubic yard
1 cubic foot= 0.037 cubic yard
79.02 cubic feet= 0.037× 79.02= 2.92cubic yard
Turn both into improper fractions- there easier to work with that way
3 15/16 — 63/16
2 1/4 — 9/4
Then, set it up- you multiply by the reciprocal
63 Divided by 9
__. __
16. 4
Multiply by reciprocal (flipped-second fraction)
63. x. 4
16 9
Cross product- check to see if diagonally the numbers have similar factors- 63 and 9 have 9 in common, 16 and 4 have 4 in common
7. 1
4. 1
1 3/4
The line y = mx + c has a slope of m.
Parallel line:
A parallel line will also have a slope of m, and should be of the form
y = mx + k
Because the line passes through the point (a,b), therefore
ma + k = b
k = b - ma
The equation of a parallel line is
y = mx + b - ma
= m(x-a) + b
Perpendicular line:
A perpendicular line will have a slope of -1/m, because the product of slopes should be -1.
The equation for a perpendicular line is of the form
y = -(1/m)x + k
Because the line passes through (a,b), therefore
-(1/m)a + k = b
k = b + a/m
The equation for a perpendicular line is
y = -(x/m) + b + a/m
= -(1/m)(x-a) + b
Answer:
Parallel line:
Perpendicular line:
Answer:
Step-by-step explanation:
First, graph the "equals" line, then shade in the correct area.
There are three steps:
1) Rearrange the equation so "y" is on the left and everything else on the right.
2) Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
3) Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
hope this helpled :)