Answer:
What is the simplified form of this expression?
7a2 + 10a − 3a − 2a2
Step-by-step explanation:
7a2 + 10a − 3a − 2a2
Combine like terms
742 + 10a - 3a - 2a2
742 + 7a - 2a2
solution=
5a2 + 7a
Answer:
Step-by-step explanation:
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem we have
This is the equation of the line in slope intercept form
where
The given equation not represent a proportional relationship, because the line not pass through the origin
In a proportional relationship the value of b (y-intercept) is equal to zero
Answer:
- a) 11, d) 25, e) 14, b) 25, c) 28, f) 33
Step-by-step explanation:
<h3>Given</h3>
- ΔBDF, with H is the centroid of BDF, DF = 50, CF = 42, and BH = 22
<h3>To find</h3>
<h3>Solution</h3>
As per definition of the centroid, the points C, E and G are midpoints of respective sides and the length of short and long distances from the centroid have ratio of 1/3 and 2/3 of median
- a) HE = 1/2BH = 1/2(22) = 11
- d) DE = 1/2DF = 1/2(50) = 25
- e) CH = 1/3CF = 1/3(42) = 14
- b) EF = DE = 25
- c) HF = 2/3CF = 2/3(42) = 28
- f) BE =BH + HE = 22 + 11 = 33
Answer:
all work is shown and pictured
Answer:
Step-by-step explanation:
When two fair dice are tossed sample space consists of 36 events
(1,1)....(6,6)
A_ The difference of numbers is 2 or less
Favorable outcomes =
Hence Probability =
B) A 4 does not appear on either die
Then we must not have these
Hence probability =
C: The sum of numbers is 10 or more:
FAvourable outcomes are:
Probability =