Which expression is equivalent to 10a + 6?
2 answers:
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Answer:
1047 m = c
Step-by-step explanation:
Given : Mr.kelly pays $12,564 a year for rent. His rent is a constant amount each month.
To Find:Which equation represents the amount he pays her month if m=months and c=total rent paid for the year?
Solution :
Since he pays for a year (12 months) = $12,564
Since His rent is a constant amount each month.
He pays for one month =
Thus the amount he pays per month $1047
If he pays for m months then the total amount(c) of rent for m months
⇒1047 m = c
Hence equation represents the amount he pays her month if m=months and c=total rent paid for the year: 1047 m = c
The given inequality is:
This inequality can be divided in two parts as:
a)
b)
Solving part a:
Solving part b:
Therefore, the solution to the given inequality is
and 
. Combining both the ranges we get the solution: 
.
In interval notation, this solution can be expressed as [1,5]
This inequality can be divided in two parts as:
a)
b)
Solving part a:
Solving part b:
Therefore, the solution to the given inequality is
In interval notation, this solution can be expressed as [1,5]
Answer:
(x + 1)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r = = 4