Answer: 38568 3/4
Step-by-step explanation:
Volume(V) = lwh
Where l=length;w=width;h=height
V = 50 * 25 1/2 * 30 1/4
V = 38,568 3/4 or 38,568.75
Answer:
x=-1
y=15
Step-by-step explanation:
This works because completing the square is essentially demonstrating what g(x) - where g(x) in this case = x^2 - would have to be translated by to give the function you have.
So by completing the square you have shown that the function you've been given has been shifted to the left by -1, stretched by a factor of 2 along the y axis and shifted up by 15.
Answer:
A)(7,-9)
Step-by-step explanation:
we know x=7
so put it in the equation
y= -2(7)+5
y=-9
we always put the x coordinate first and then the y coordinate so the answer is (7,-9)
Answer:
The first term is 14.
Step-by-step explanation:
The general formula for this kind of sequence (arithmetic) is a(n) = a(1) + (n-1)c, where c is the common difference. Here, we have a(6) = -1 = a(1) + (6-1)(-3), or -1 +15 = a(1). The first term is 14.
Answer:
Step-by-step explanation:
If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.
Slope of a line passing through two points C(4, 5) and D(8, 10),
m = ![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
m = ![\frac{10-5}{8-4}](https://tex.z-dn.net/?f=%5Cfrac%7B10-5%7D%7B8-4%7D)
m = ![\frac{5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D)
Equation of the line passing through C(4, 5) and slope m = ![\frac{5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D)
y - y' = m(x - x')
y - 5 = ![\frac{5}{4}(x-4)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D%28x-4%29)
y = ![\frac{5}{4}x-5+5](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7Dx-5%2B5)
y = ![\frac{5}{4}x](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7Dx)
If point B(4, 0) lies on the line CD,
0 = ![\frac{5}{4}(4)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D%284%29)
0 = 5
Which is not true.
Therefore, point B doesn't lie on line CD.