Answer:
12; 8
Step-by-step explanation:
length-x
breadth-2/3x
2(x+2/3 x)=40
2×5/3x=40
10/3x=40
x=40÷10/3
x=40×3/10
x=12 (cm) length
2/3×12=8 (cm) breadth
Answer:
(4, 1).
Step-by-step explanation:
The solution is the coordinates of the points where the 2 lines intersect.
That is where x = 4 and y = 1.
Answer:
y=1/4x+3
Step-by-step explanation:
To find the inverse, switch x and y or f(x)
f(x)=4x-12
y=4x-12
x=4y-12
Add 12 to both sides
x+12=4y-12+12
x+12=4y
Divide both sides by 4
x+12/4=y
1/4x+12/4=y
1/4x+3=y
y=1/4x+3
First, let's put this in Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
4y - 2x = 24 Add 2x to both sides
4y = 2x + 24 Divide both sides by 4
y = (1/2)x + 6
Now that we're in slope-intercept we can easily find the y and x intercepts/
b = 6, so the y-intercept equals 6. Plug zero in for x to confirm!
Now we plug 0 in for y to find the x intercept:
0 = (1/2)x + 6 Subtract 6 from both sides
-6 = (1/2) x Multiply both sides by 2
-12 = x
The x intercept is -12
In Conlusion:
x-intercept = -12
y- intercept = 6
