Let
Y be the age of Franco's dad.
X Franco's age
Y = 3*X (1)
(Y +10) = 2*(X+10) +2 (2)
(3*X +10) = 2*X +20 +2
(3-2)X = 22 -10
X = 12 years old (Franco)
Y = 3*12 = 36 years old (Franco's dad)
Answer: center is (-4,2) radius is 4
Step-by-step explanation:
Equation of circle
is (X-A)^2+(X-B)^2=r^2
The center Of The circle is (A, B)
The radius Of The circle is r
Comparing the given equation and the equation of a circle we get the center Of The circle as (-4,2) and then radius as 4
To find the slope of the above equation, it is easiest to put it into slope-intercept form, y=mx + b, where the variable m represents the slope. To do this, we must isolate the variable y on the left side of the equation by using the reverse order of operations. First, we should subtract 3x from both sides of the equation.
3x + 6y = 9
6y = -3x + 9
Next, we should divide both sides of the equation by 6 to undo the coefficent of 6 on the variable y.
y = -1/2x + 3/2
Therefore, the slope of the line is -1/2 (the coefficient of the variable x in slope-intercept form).
Hope this helps!
The point-slope equation of the line is 
Step-by-step explanation:
The form of the point-slope equation is 
, where
- m is the lope of the line
is a point lies on the line
The slope of a line 
, where
and 
are two points on the line
∵ The line through (2 , 3) and (7 , 4)
∴ 
= 2 and 
= 7
∴ 
= 3 and 
= 4
- Substitute these value in the rule of the slope
∵ 
∴ the slope of the line is 
Let us substitute the value of the slope and the coordinates of point in the form of the equation
∵
∵ = 2 and = 3
∵
∴
The point-slope equation of the line is
Learn more:
You can learn more about the linear equation in brainly.com/question/12941985
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