Answer:
12
Step-by-step explanation:
because if she has 8 more red cubes that yellow than that would mean it would become 12
Answer:
4 in 2,417
4 in 2,147
Step-by-step explanation:
the place value of 4 in 2,417 is HUNDREDS
while the place value of 4 in 2,147 is TENS
Therefore the place value of 4 in 2,417 is ten times the value of 4 in 2,147
Answer:
Step-by-step explanation:
x² + 2x - 3 + y² = 5
Strategy:
Convert the equation to the centre-radius form:
(x - h)² + (y - k)² = r²
The centre of the circle is at (h, k) and the radius is r
.
Solution:
Move the number to the right-hand side.
x² + 2x + y² = 8
Complete the square for x
(Take half the coefficient of x, square it, and add to each side of the equation)
(x² + 2x + 1) + y² = 9
Complete the square for y
The coefficient of y is zero.
(x² + 2x + 1) + y² = 9
Express the result as the sum of squares
(x + 1)² + y² = 3²
h = -1; k = 0; r = 3
The centre of the circle is at 
The graph of the circle below has its centre at (-1,0) and radius 3.
Answer:
(4x - 11i)(4x -+11i)
Step-by-step explanation:
Factor as a difference of squares
a² - b² = (a - b)(a + b)
note that i² = - 1
Given
16x² + 121
= (4x)² - (11i)²
= (4x - 11i)(4x + 11i)
His annual salary as a pharmacist is $51,200
There are a total of 52 weeks in an year.
(a) Weekly salary = annual salary/ number of weeks = 51,200/52 = $984.62 (rounded to the nearest cent)
Howard's weekly salary to the nearest cent = $984.62
(b) His salary in first three weeks = 984.62*3 = $2,953.85
Howard's earnings during the first three weeks to the nearest cent = $2,953.85
(c) He has to pay the agency 40% of his three week salary which is = 0.4*2953.85 =1,181.54
Howard must pay to the employment agency to the nearest dollar = $1,182
