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
The slope intercept form of a line is y = mx + b
Plug in the slope, 6, into m.
Rewrite the equation;
- y = 6x + b
- We need to find b, your y-intercept, to finish this equation.
Plug in your point coordinate, (x, y) ⇒ (-12, -14) into the equation.
Solve for b to find the y-intercept.
Your new equation (your answer) is<em> </em>y = 6x + 58.
Tan(x) = opp/adj
tan(30°) = 9/n
n x √3/3 = 9
3n x √3 = 27
3√3n = 27
√3n = 9
n = 9/√3
Similar triangles are triangles in which its corresponding
interior angles are congruent. Since the triangle n and triangle m are similar
so the triangle n has also the same interior angles with triangle m. triangle n
interior angles are alos two 32 degrees angle and one 93 degrees angle
I'n not sure what kind of math this is but i think those two skip count. X skip counts by 1, Y skip counts by 4? If I got this wrong, please delete this.
