Answer:
is the equivalent expression
Step-by-step explanation:
Given the following expression
We are expected to find and re-write the expression such that it equals the given expression
We proceed by opening all brackets and work operations on signs
collecting like terms we have
we can further re-write the new expression as
The new equation will be (x-1)² + (y-18)²=36
2) x²+y²+6x+12y=4
(x²+6x+?)-(?) + (y²+12y +??) -(??)=4
(x²+6x+9)-(9) + (y²+12y +36) -(36)=4
(x+3)² - 9 + (y+6)² - 36 = 4
(x+3)² +(y+6)² = 49
Answer:
The number of vocalist sang on the end of the 10th day is 6138 vocalist.
Step-by-step explanation:
Given:
Number of vocalist needed on the first day = 6
Each day after that, the number of vocalists needed doubles
To Find:
The total number of vocalist found on the 10th day = ?
Solution:
By using the geometric series
Where
a is the first term
r is the ratio
n is the number of terms
On substituting the values
That is
The first day = 6 vocalist
Second day = 12 vocalist
third day =24 vocalist
Fourth day =48 vocal list
Fifth day = 96 vocalist
Sixth day = 192 vocalist
Seventh day = 384 vocalist
eight day = 768 vocalist
Ninth day = 1536 vocalist
Tenth day = 3072 vocalist
So
6+12+24+48+96+192+384+768+1536+3072 = 6138 vocalist sang in total on the end of tenth day.
Answer:
Marcus has 14 pairs of shoes and Kayla has 22 pairs of shoes
Step-by-step explanation: