Answer:
<em>D. 30</em>
Step-by-step explanation:
6 ÷ 1/5 <em>-given expression</em>
6 x 5 <em>-use the </em><em>keep, change, flip </em><em>method, where you</em><em> keep</em><em> the </em><u><em>first </em></u><em>number, </em><em>change</em><em> the </em><u><em>division sign</em></u><em> to a </em><u><em>multiplication sign</em></u><em>, and </em><em>flip</em><em> the f</em><u><em>raction</em></u><em> that comes after the symbol.</em>
<em>6 x 5 = 30</em>
<em>30 is the answer</em>
Assuming you meant 2/3
y=2/3x+1 and (-5,-2)
paralell means same slope
y=mx+b
m=slope
y=2/3x+1
sllope=2/3
point slope
y-y1=m(x-x1)
for slope=m
a point is (x1,y1)
slope=2/3
point=(-5,-2)
y-(-2)=2/3(x-(-5))
y+2=2/3(x+5)
or
y=2/3x+16/3
Answer:
A
Step-by-step explanation:
20 times 10% is 2
Answer:
-3/2
Step-by-step explanation:
One can read off the slope of the given line directly from the graph. As x increases by 3, y increases by 2. Thus, the slope of the given line is
m = rise / run = 2 / 3
Any line perpendicular to this given line has a slope which is the negative reciprocal of the slope previously found:
-1 3
Slope of perpendicular line = ------------ = - -----
2/3 2
This matches the first of the given possible answer choices.
Answer:
2.67 inches.
Step-by-step explanation:
Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).
The formula for a rectangular box = L × B × W
= (23 -2y)(13-2y) (y)
= (299 - 46y - 26y + 4y²)y
= 299y - 72y² + 4y³
Now for the maximum volume:
dV/dy = 0
This implies that:
299y - 72y² + 4y³ = 299 - 144y + 12y² = 0
By using the quadratic formula; we have :
where;
a = 12; b = -144 and c = 299
Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33
Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.
