Answer:
well, we do not have the options here, but we can find the equation of the graph, so the equations that are different from that are the answer to this question:
in the graph, we can see that it goes through the points:
(0,1) and (2,0)
Remember that the slope of a line that goes through the points (x1, y1) and (x2, y2) is:
s = (y2 - y1)/(x2- x1)
then the slope for our line is:
s = (0 - 1)/(2 -0) = -1/2
Then our line is:
y = -(1/2)*x + b.
b is the y-intercept, and we know that when x = 0 y = 1, then:
1 = -(1/2)*0 + b
1 = b
then the equation is:
y = -(1/2)*x + 1
Given.
(1)
(2)
Re-arrange equation (2)
Multiply equation (2) by -1
(3)
Combine like terms and solve.
Divide by (2y) and solve for (y).
Substitute (y) for equation (1).
Add (8) to both sides.
Divide by (3).
Check your work.
Your answers is and
Answer: 4*3*4=48
(*) means multiplication in case you don't know.
Step-by-step explanation: When finding the volume of a rectangular prism or cube, you just multiply the length, width, and Height.
So you would first find the length of y.
To do that, use the Pythagorean's Theorem:
a²+b²=c²
in this case, c = 3, and b = 1.
a² + 1² = 3²
a² + 1 = 9
a² = 8
a = √8
Now to find z, use the Pythagorean's Theorem again:
a² + b² = c²
where √8 = a and 8 = b, and z = c.
√8² + 8² = z²
8 + 64 = z²
72 = z²
z = √72
To simplify this, take out the largest perfect square, or 36:
z = √36√2
z = 6√2
So your answer would be B.
Answer:
Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a polynomial function for the volume V
Step-by-step explanation:
9v
