6/7 would be tan A
hope this helps
Answer:
(0;-4)
(-6;4)
Step-by-step explanation:
-8x - 6y - 7 = 17
-8x-6y-24=0
y=-(4x)/3-4
(3;0)
-(4*3)/3-4=8
8≠0
(-2;-1)
-(4*(-2))/3-4=-4/3
-4/3≠-1
(0;-4)
-(4*0)/3-4=-4
-4=-4
(-9;6)
-(4*(-9))/3-4=8
8≠6
(-6;4)
-(4*(-6))/3-4=4
4=4
Answer:
X = 20
The picture explains my answer
Answer:
6 years
Step-by-step explanation:
So each person's age can be represented as a linear equation, since each year our age increases by 1. It can be represented in the slope-intercept form: y=mx+b. The slope in this case is going to be 1, since the time is going to be years, and each year everyone's age goes up by 1 (of course if you're still alive...) and y-intercept in this case represents their current age.
So the father can be represented as: y=x+38
The sons can be represented as: y = x+13 and y=x+5
The daughter can be represented as: y=x+8
So adding up all his children you get:
(x+13)+(x+5)+(x+8)
This gives you the equation:
3x+26
Now set this equal to the father's age to solve for x (in this context it's years)
3x+26=x+38
Subtract from both sides
2x+26=38
Subtract 26 from both sides
2x=12
Divide both sides by 2
x=6
So in 6 years the father will be the same age as his children put together
