Answer:
1) 
; 2) 
Step-by-step explanation:
1) Using the Power of a Fraction Rule 
,
, which can just be simplified to .
2) Using the Negative Exponent Rule, 
,
, which can be simplified to .
Answer:
A' ( 2, 4) and B' ( -4, 0)
Step-by-step explanation:
A ( -2, 4) and B( 4,0) reflected over the y-axis
A' ( 2, 4) and B' ( -4, 0)
the y-coordinate do not change and the x is opposite sign
(x,y) reflected over y-axis (-x, y)
Answer:
699(0.90)(1.07)
Step-by-step explanation:
Given that:
Regular cost of couch = $699
Onsale percentage = 10%
Sales tax in purchase = 7%
Final price of couch :
New price at Selling percentage :
Regular price * (discount) * (sales tax percentage)
Regular price * (100% - 10%) * (100 + 7%)
699 * (1 - 0.1) * (1 + 0.07)
699 * 0.90 * 1.07
699(0.90)(1.07)
Answer:
Step-by-step explanation:
x² - 2x + y² - 4y - 4 = 0
x² - 2x + y² - 4y = 4
complete the squares
(x² - 2x + x₀) + (y² - 4y + y₀) = 4
the unknown number will be the square of half of the x¹ coefficient
(x² - 2x + 1) + (y² - 4y + 4) = 4 + 1 + 4
(x - 1)² + (y - 2)² = 9
This tells us that the circle is centered on (1, 2)
Which is also a point on the diameter
2x - y + a = 0
a = y - 2x
a = 2 - 2(1)
a = 0
