The is will be -<span>11b3</span><span> - 16b</span>2<span> + </span>4b<span> + </span><span>3</span>
Area of a triangle is base × height ÷2
base=8x+4 x=-4/8 x=-1/2
height=3x-4 x=4/3
A=b×h÷2
A=(-1/2×4/3)÷2
A=(-4/6)÷2
A=(-4/6)÷2/1 to divide by fractions flip the second and multiply
A=-4/6×1/2
A=-4/12
A=-1/3
Answer:
Step-by-step explanation:
Okay so we know that line on the triangle DEF that's parallel to the line BC is EF. This because they have the same slope and we can prove that while solving for slope-intercept form.
First we figure out our points for both the lines:
BC: 
EF: 
Now that we have our points we can use the slope formula to prove these two line have the same slope and are therefore parallel to eachother:
= Slope Formula
BC = 
EF = 
So now we proved that both of these lines have a slope of -1. Then we can use the slope intercept formula and one of the points from the line EF to find the y-intercept of the of line EF:
Let's use point = 
We used the formula and found that the y-intercept was 
, so now we plug in all of our answers:
This is the complete answer but if you wanted to simplify it more you could write it as 
, cause as long as you make the x negative in the equation it will always be as if you multiplied it by -1.
Answer:
2.83 inches
Step-by-step explanation:
The formula for surface area of cube = 6s²
Where
s = side length of cube
S.A = 6s²
s² = S.A/6
s = √S.A /6
For cube a
Surface area = 1200 in²
Hence,
side length = √1200/6
Side length = √200
= 14.14 inches
For cube b
Surface area = 768 in²
Hence,
side length = √768/6
Side length = √128
= 11.13 inches
How much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches?
Therefore,
14.14 inches - 11.13 inches
= 2.83 inches
