Both equations are lines with a slope of 2. They will be parallel. They differ only in their y-intercept.
It can work well to graph the y-intercept, then plot another point that is at some horizontal distance from the y-axis and twice that distance above the y-intercept.
y = 2x + 3Plot the point
(0, 3) and the point
(2, 7). Draw a line through those points.
y = 2x - 2Plot the point
(0, -2) and the point
(2, 2). Draw a line through those points.
Here, Area of Square = a²
Area of parallelogram = a * b
Area of Trapezoid = (a+b)/2 * h
Area of Triangle = bh/2
In question, it says "half of the base" not bases, so most appropriate answer would be: Option D) Triangle
Hope this helps!
Answer:
There are 7360 M&Ms in larger jar.
Step-by-step explanation:
We are given the following in the question:
A giant jar is such that it is exactly four times times the smaller jar in dimensions.
If r and h is the radius and height of the cylindrical jar respectively, then the dimensions of the larger are:
Number of M&Ms in smaller jar = 115
Volume of smaller jar =
Volume of larger jar =
Number of M&Ms in larger jar:
Thus, there are 7360 M&Ms in larger jar.
Answer:
x = 6, 9
Step 1:
To solve this equation, we need to subtract 3 from both sides like this:
Step 2:
We square both sides (multiply using FOIL) to get rid of the radical.
If you did not understand how these were done, here is an example:
(x + 1)(x + 2)
First terms: x * x = <u><em>x^2</em></u>
Outer terms: x * 2 = 2x
Inner terms: 1 * x = x
2x - x = <u><em>x</em></u>
Last terms: 1 * 2 =<em> </em><u><em>2</em></u>
x^2 + x + 2
Step 3:
Solve for x:
9x - 45 = x^2 - 6x + 9
x^2 - 6x + 9 (+45) = 9x - 45 (+45)
x^2 - 6x + 54 (-9x) = 9x (-9x)
x^2 - 15x + 54 = 0
Factor:
(x^2 - 6x) + (- 9x + 54)
x(x - 6) - 9(x - 6)
Factor out (x - 6):
(x - 6)(x - 9) = 0
x - 6 = 0; 6 - 6 = 0
x - 9 = 0; 9 - 9 = 0
Our anwer: x = 6, 9
