Answer:
3.4 yards cubed
Step-by-step explanation:
Volume is length x width x height
Length 2 4/5, Width 2, Height 3/5 so 2 4/5 x 2 x 3/5
It looks like they want the answer in decimal form, so you can convert the fractions into decimals.
For the length 2 4/5, you divide the 4 by 5 to get a decimal of .8 so now it's 2.8
For the height of 3/5, you divide the 3/5 & get .6
Now it's 2.8 x 2 x .6 = 3.36 yards cubed which could get rounded up to 3.4 yards cubed
B. (6, -8)
First, you need to figure out the slope of the line
(y1 - y2) / (x1 - x2)
After substituting points D(-3, 4) A(3, -4)
[4 - (-4)] / (-3 - 3)
(8) / (-6)
The slope of the line is -8/6 or -4/3 simplified
Then you can put it in point slope form:
(y - y1) = m(x - x1)
(y - y1) = -4/3(x - x1)
The point that I am using for point slope form is A(3, -4)
[y - (-4)] = -4/3(x - 3)
y + 4 = -4/3(x - 3)
Next you have to simplify the equation so that y is isolated
y + 4 = -4/3(x - 3)
First distribute the -4/3
y + 4 = -4/3(x) + (-4/3)(-3)
y + 4 = -4/3x + 4
Subtract 4 on both sides
y + 4 - 4 = -4/3x + 4 - 4
y = -4/3x
Now that you have y = -4/3x, you can substitute the values until one of them makes the equation equal
For example) (6, -8)
-8 = -4/3(6)
-8 = -8
So since (6, -8) fits in the slope intercept equation, it must me collinear with points A and D
~~hope this helps~~
Answer with Step-by-step explanation:
Zohar cut a rectangle with a length of 5x – 2
and a width of 3x + 1
We know that:
Perimeter of rectangle is:
Perimeter=2(length+width)
=2(5x-2+3x+1)
=2(8x-1)
=16x-2
Hence, expression which can be used to find the perimeter of the rectangle is:
16x-2
Now, when x=4
16x-2=16×4-2
=62
Hence, when x=4 ,Perimeter=62
