Answer:
Step-by-step explanation:
-distance formula:
(1,2) is () respectively
(9,17) is respectively
-plug in the values to the formula
Answer:
area of Jonah's backyard is, 196 meter square
Step-by-step explanation:
Perimeter(P) of square is given by:
where a is the side of thew square
As per the statement:
The perimeter of Jonah's square backyard is 56 meters
⇒
Using the perimeter formula to solve for a:
Divide both sides by 4 we have;
or
a = 14 m
Area of a square(A) is given by:
Substitute the given value of a = 14 m to get area;
Therefore, the the area of Jonah's backyard is, 196 meter square
A.
first quarter: 2
second quarter:10
third quarter: 15
fourth quarter: 18
B.
first quarter: 2
second quarter: 8
third quarter: 5
fourth quarter: 3
C.
first quarter: 3
second quarter: 8
third quarter: 5
fourth quarter: 2
D.
first quarter: 3
second quarter: 8
third quarter: 16
fourth quarter: 18
the answer is B
because it is 2 degrees increase from 12 to 14, then from 14 to 22 is 8 degrees, then 5 more until 27, and so on.
Hank: The y-intercept of a linear function is the same as the first term of an arithmetic sequence.
Hank's reasoning is being questioned for assuming that all sequences start with 1 and that the y-intercept of a linear function is always at x=0.
Given that,
Hank's reasoning is being discussed.
The claim is that Hank's reasoning is incorrect.
The reasoning involves sequences that begin with the term number 1, where x=1.
By convention,
The first term of a sequence starts with n = 1 instead of n = 0.
This is so n = 1 matches with 1st,
n = 2 matches with 2nd, and so on.
In contrast,
The y-intercept always occurs when x = 0.
So y = 3x+5 has a y-intercept of 5 when you plug in x = 0.
An arithmetic sequence:
f(n) = 2n+7 has its first term when n = 1.
So, the first term would be f(1) = 2(1)+7=9 instead of 7 as Hank claims.
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The complete question is:
Hank's reasoning is incorrect because all sequences begin with the term number 1, which translates to x=1.
The y-intercept of a linear function is when x=0.
By convention, the first term of a sequence starts with n = 1 instead of n = 0. This is so n = 1 matches with 1st, n = 2 matches with 2nd, and so on.
In contrast, the y intercept always occurs when x = 0. So something like y = 3x+5 has a y intercept of 5 when you plug in x = 0.
An arithmetic sequence like f(n) = 2n+7 has its first term when n = 1. So the first term would be f(1) = 2(1)+7 = 9 instead of 7 as Hank claims.
Answer:
Option C is correct.
Solution to the given system of equation is (6 , -8)
Step-by-step explanation:
Given the system of equation:
......[1]
.....[2]
Substitute the equation [1] in [2] we get;
Combine like terms;
Add 10 to both side of an equation:
Simplify:
Divide both sides by we get;
Simplify:
x = 6
Substitute the value of x =6 in equation [1] we get;
or
Simplify:
y = - 8
therefore, the solution to the given system of equation is; (6 , -8)
You can also see in the graph as shown below: