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:
28.79
Step-by-step explanation:
The dividend share is Php 57
The Market value for the stock is Php 198
Therefore the stock yield ratio can be calculated as follows
= 58/198
= 0.2879 × 100
= 28.79
Hence the dividend stock yield ratio is 28.79
Answer: x = 11
To start, we know that a whole circle equals 360 degrees. If we subtract the 2 arcs we know, 85 and 31, we have 244 degrees left for the 2 congruent arcs. Dividing that by 2 gives us 122 for each arc.
Now, write the equation: 122 = 13x - 21
Solve this, to find the x = 11.
Well there similar because your adding 10 more or 10× since from ones to the tens is 10×
Answer:
Step-by-step explanation:
Finn earns $5 for each crate of oranges he sells in a week. This means that if she sold z crates in a week, the total amount that she would earn is 5 × z = 5z
At the end of the week, Ellie has earned $20 more than Finn. The following expression shows Ellie's earnings :
20 + 5z
Therefore, in the expression, the second term represents the total amount that Finn earned for selling z crates.
