Let y = 0 to find the x-intercept(s).
0 = 45 − 4x
*Then subtract 45 from both sides*
-45 = -4x
*Next, DIVIDE both sides by -4*
-45
—— = x
-4
*NEXT, realize that TWO NEGATIVES MAKE A POSITIVE *
45. 4
——— = x {FLIP} x=——-
4. 45.
y-Intercept
Let x = 0 to find the y-intercept(s).
y = 45 −4(0)
NEXT, SIMPLIFY:
y=45
1/2 or 50%, because there are two possibilities out of four.
If you think about flipping a coin twice, there are exactly four possible outcomes:
Flip 1 Flip 2
1. tails heads
2. tails tails
3. heads tails
4. heads heads
In two of these possibilities (1 and 3) the coin flipped different sides.
That means 2/4 possibilities matched, and this can be reduced to 1/2
I use it all the time, but as my profession is engineering, mathematics is integral in my everyday life. I usually do it when evaluating for the magnitude of vector force components. Usually in 2D space, so Pythagorean theorem is quite useful.
2x + 3y = 45
x + y = 10......y = 10 - x
2x + 3(10 - x) = 45
2x + 30 - 3x = 45
-x + 30 = 45
-x = 45 - 30
-x = 15
x = -15 <====
and y = 25
Answer:
it's J
Step-by-step explanation
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