Answer:
Step-by-step explanation:
Let Sue's age = x
Leah's age = x + 6
John's age= Leah's age + 5 = (x+6) + 5 = x + 11
Sum of their ages = 41
x + (x+6) + ( x+11 ) = 41
x + x+6 +x +11 = 41
3x + 17 =41
3x = 41 -17
3x = 24
x = 24/3
x =8
Sue's age = 8 years
To solve this system of equations, start by plugging your equation for x wherever x appears in your second equation, giving you (y-3)+3y=13. Now, combine like terms, (y-3)+3y=13 => 4y-3=13, solve for y by adding 3, 4y-3=12 => 4y=16, divide by 4, 4y=16 => y=4. Now that you have your y value, plug it into the equation for x to get the x value, x=y-3=4-3=1. This makes your solution (1,4), answer choice A
Answer:
y = - 
x - 
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y + 6 = 
(x - 5) ← is in point- slope form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= -
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - , thus
y = - x + c ← is the partial equation
To find c substitute (- 1, - 2) into the partial equation
- 2 = + c ⇒ c = - 2 - = -
y = - x - ← equation of perpendicular line
The vertex of the right triangle will be in one of 2 places. It will be where lines extend straight out from both points A and B and meet. The two possible points are (-1,1) and (4,-2).
To get closest to the precise answer
