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
25/52 25 is the numerator
52 is the denominator
Answer:
(x²+1)(x-3)
Step-by-step explanation:
Factorize x³ + x - 3x² -3
x³-3x²+x-3
Factorize
x²(x-3)+1(x-3)
= (x²+1)(x-3)
Hence the factorized form is (x²+1)(x-3)
Answer:
Diagonal
Step-by-step explanation:
The measure of a television is always indicated by providing the length of the diagonal, in inches.
In fact, the actual length and height of a 32" tv are:
- Length:
L = 27.9 inches
- Height:
h = 15.7 inches
For an object with a rectangular shape, such as the TV, the diagonal of the object can be found by using Pythagorean's theorem:

where
L is the length of the rectangle
h is the height of the rectangle
Substituting the values above, we find:

Which corresponds to the diagonal of the TV.