Answer:
y = -2/3x + 4
y+1 = -4/6(x + 5)
Step-by-step explanation:
y = -2/3x + 4
y+1 = -4/6(x + 5) *-4/6 is equal to -2/3
perpendicular lines have slope that are opposite signs and reciprocals
the slope of the original line in this problem is 3/2 so any line with a slope of -2/3 is perpendicular to it
Volume of a Cube:
<span>Since all of the edges of a cube are of equal length, there is no need to differentiate between the length, width and height. The volume of a cube is determined by multiplying the length of three edges of the cube. Let "a" define the length of an edge of the cube.
Then the volume formula is defined as:</span>
V = a<span> × </span>a<span> × </span>a
<span>This formula is also written as V = a³<span>.
If a = 5 feet, then the volume is found like this:</span></span>
V = (5)³ = 5<span> × </span>5<span> × </span>5 = 125: Since each value is a measurement of feet, the volume is therefore 125 cubic feet.
Example 1:<span> Find the volume of a solid cube shape box whose side is 13m.</span>
Solution:
<span>Given that: side a = 3m
Volume of the cube is therefore:</span>
V = a³
V = 13³
<span>V = 2197 m3</span>
Example 2:<span><span> Find the measure of volume of a cube for the given side length is 20 inches?</span>
<span>Solution:</span>
<span>Given that: Side a = 20 inches
Volume of the cube is therefore:</span></span>
V = a³
V = 20³
<span>V = 8000 in3</span>
<span>Therefore, volume of a cube is 8000 in3.
</span>
Example 3:<span> Find the volume of a cube for the given side length 12.5 meter?</span>
Solution:
Given that: Side a = 12.5 m
V = a³
V = 12.5³
<span>V = 1953.125 m3</span>
<span><span>Therefore, the volume of the cube is 1953.125 cubic meter.</span>
</span>
Answer:
0.83333333
Step-by-step explanation:
since usually if a dice is rolled 6 times. the probability of rolling a three would be 1/6th as there are even sides on a dice and even probabilities. You would divide 5 by 6 instead of 6 by 6 meaning that the probability is 0.83333 recurring
the answer for the first one is 15
Step-by-step explanation:
the length of the rectangle is 18 and there are 6 squares in the horizontal lines so the length of each square is 18÷6=3.
there are 5 squares in the vertical line so the width is 3*5=15
