Remove parentheses
2/5 • d-10 - 2/3 • d+6
calculate
2/5d-4 - 2/3d-4
the answer
-4/15d-8
Answer:
Part a. The graph does not model a proportional relationship.
Part b. The values in table model a proportional relation.
3.5 minutes per mile.
Step-by-step explanation:
Part a.
The graph shown in the question representing Janet's data is not a straight line although it passes through the origin.
That is why the rate of change of distance with time is not constant.
Therefore, the graph does not model a proportional relationship.
Part b.
If we plot the data in the table using distance in miles along the y-axis and time in minutes along the x-axis, then we will get a straight line passing through the origin.
So, the values in the table model a proportional relation.
Now, Tarik's unit rate in minutes per miles will be
minutes per mile. (Answer)
Answer:
8 square units
Step-by-step explanation:
The figure is a trapezoid. The area of it is given by the formula ...
A = (1/2)(b1 +b2)h
where b1 and b2 are the lengths of the parallel bases and h is the distance between them.
Your figure shows the base lengths to be 5 and 3, and their separation to be 2. Filling the numbers in the formula, we have ...
A = (1/2)(5 +3)(2) = (1/2)(8)(2) = 4·2 = 8
The area of the figure is 8 square units.
_____
The right-pointing arrows on the horizontal lines identify those lines as being parallel. The right-angle indicator and the 2 next to the dotted line indicate the perpendicular distance between the parallel lines is 2 units.
Answer:
194.7
Step-by-step explanation:
273.2 -(-78.5) = 194.7
we are given

it's factor as (x+p)(x+q)
so, we can write as

we can simplify it

now, we can compare both sides
coefficient of x must be equal
so, we get


now, we can look at the table where p+q =3
so, we can see that when p+q=3 .... then p=-2 and q=5
so, option-A.......Answer