Given, a = -65 and b = 8.
We have to find multiplication of them.
a is negative and b is positive. When we multiply them, we know that the multiplication of positive and negative is negative. That means 
.
So 
= 
= 
= 
So we have got the required product.
Multiplication of a and b = -520.
The correct option is option C.
Answer:
Center = (5, -2) and radius = √33
Step-by-step explanation:
The equation of a circle is given by the formula;
(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius of the circle.
In this case;
2x² - 20x + 2y² + 8y =40 ;
Dividing both sides of the equation by 2 we get;
x² - 10x + y² + 4y = 20
we can then use the completing the square on both x and y terms.
x² - 10x + y² + 4y = 20
x² + 2(-5)x + 25 + y² + 2(2) y + 4 = 20 +9 + 4
In standard form we get;
(x-5)² + (y+2)² = 33
Therefore;
Center = (5, -2) and radius = √33
Answer:
(x1,y1) = (2x - x2, 2y - y2)
Step-by-step explanation:
Given:
Midpoint = (x , y)
End point = (x2, y2)
Find:
(x1, y1)
Computation:
Mid-point formula
x = (x1 + x2) / 2 , y = (y1 + y2) / 2
So,
2x = x1 + x2 , 2y = y1 + y2
x1 = 2x - x2 , y1 = 2y - y2
So,
(x1,y1) = (2x - x2, 2y - y2)
Answer:
$15.35104
Step-by-step explanation:
Step 1
Calculate how much is 7.2% raise
$14.32 × 7.2%
= $14.32 × 7.2/100
=$ 1.03104
Step 2
Jack's hourly rate after his raise is
$14.32 + $ 1.03104
= $15.35104
Answer:
147
Step-by-step explanation:
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