Answer:
Dont really understand what the question is saying but i graphed it on Desmos hope this helps
Step-by-step explanation:
Answer:
Step-by-step explanation:
since we can see that the lines are parallel
and we can see that the both are interior angles and when we sum up both angles we get 180
2x - 5 + 45 = 180
2x + 40 =180
2x = 180 - 40
2x =140
x = 140/2
x = 70
Answer:
Step-by-step explanation:
The time intervals are [0.00, 0.10], [0.10, 0.30], and [0.30, 0.60].
The rate of change in each interval is the slope of the line between the endpoints:
m = [f(b) − f(a)] / (b − a)
Filling out the table:
The intervals are already in order from greatest to least. Simply reverse the order to get least to greatest:
[0.30, 0.60]
[0.10, 0.30]
[0.00, 0.10]
First you'll need to find the line of symmetry using the formula x=-b/2a. In this case, you have x=-(4/3)/(2*(-1/3))=(-4/3)/(-2/3). Then take this x value and plug it into your equation to get a y-value. This will be your vertex. Now what I like to do to get the other 2 points needed to graph the parabola is pick an x value 1 unit left of the vertex x value and another x value 1 unit right of the vertex x value. That will give you two points on either side of the vertex, and connecting the three points will create your parabola.
Answer:
10 square in.
Step-by-step explanation:
The rectangles are similar by a scale factor of 3. We can tell because the quotient of two of the corresponding sides, 18 and 6, is 3 (18/6=3)
That means the width of ABCD is 3 times the width of WXYZ.
Let's say the width of ABCD is x. Then 18*x=90 because that's the area.
x=90/18=5
Now we have the width of ABCD, 5, so to get the width of WXYZ, we divide by 3, which is 5/3.
Now to get the area of WXYZ, we can do 5/3, the width, times 6, the length, which is 30/3=10.