9m − 2n, if m = −2 and n = 5
1 answer:
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Answer:
A and B are both 3.
Step-by-step explanation:
The given polynomial is .
We factor the GCF to obtain:
We factor further by grouping to get:
We compare this to the given factored expression:
We must have A=3,B=3, C=-6
Answer:
The Area of the composite figure would be 76.26 in^2
Step-by-step explanation:
<u>According to the Figure Given:</u>
Total Horizontal Distance = 14 in
Length = 6 in
<u>To Find :</u>
The Area of the composite figure
<u>Solution:</u>
Firstly we need to find the area of Rectangular part.
So We know that,
Here, Length is 6 in but the breadth is unknown.
To Find out the breadth, we’ll use this formula:
According to the Figure, we can see one side of a rectangle and radius of the circle are common, hence,
- Since Length = 6 in ;
Hence Radius is 6 in.
So Substitute the value of Total distance and Radius:
- Total Horizontal Distance= 14
- Radius = 6
Hence, the Breadth is 8 in.
Then, Substitute the values of Length and Breadth in the formula of Rectangle :
- Length = 6
- Breadth = 8
Then, We need to find the area of Quarter circle :
We know that,
Now Substitute their values:
- r = radius = 6
- π = 3.14
Solve it.
Now we can Find out the total Area of composite figure:
We know that,
So Substitute their values:
= 48
= 28.26
Solve it.
Hence, the area of the composite figure would be 76.26 in² or 76.26 sq. in.
I hope this helps!
Answer:
Step-by-step explanation:
a). Stock price arranged as arithmetic sequence will be,
5, 8, 11, 14
b). Since, explicit formula of an arithmetic sequence is given by,
Here, = nth term of the sequence
a = first term
n = number of term
d = common difference
From the table attached,
First term of the sequence 'a' = 5
Common difference 'd' = 8 - 5 = 3
Therefore, explicit formula for the given sequence will be,
c). Slope intercept form of the equation will be,
y = 3x + 2
d). Input out values for the graph of the given equation,
x 0 1 2 3
y 2 5 8 11
By using this data we can graph the line.
