The x-intercepts<span> are where the graph crosses the x-axis, and the y-</span>intercepts<span> are where the graph crosses the y-axis. We find these intercepts when we set one variable to zero. For instance,
</span><span>
y = x^2-10x+25
y-intercept : y = </span>0^2-10(0) +25
<span> y = 25
x-intercept: 0 = </span>x^2-10x+25
0 = (x - 5) (x - 5)
x = 5
Answer:
Step-by-step explanation:
3x/x^ 2 - 6x = 1
3/x - 6x = 1
Multiply each term by x
3 - 6x² = x
6x² + x - 3 = 0
Using quadratic formula
X = [-b ± √(b² - 4ac)]/2a
a = 6, b = 1 and c = -3
X = [-1 ± √(1² - 4(6×-3)]/(2×6)
X = [-1 ± √(1 +72)]/12
X = [-1 ± √73]/12
X = [-1 ± 8.54]/12
X = (-1 + 8.54)/12 or (-1 - 8.54)/12
X = 7.54/12 or -9.54/12
X = 0.63 or - 0.8
Answer:
C: Termal energy is added
Step-by-step explanation:
thermal energy is what makes ice turn into water and water turn into gas
(-4,-4)(1,3)
slope = (3 - (-4) / (1 - (-4)
slope = (3 + 4) / (1 + 4) = 7/5
y - y1 = m(x - x1)...using (-4,-4)
slope(m) = 7/5
y - (-4) = 7/5(x - (-4) =
y + 4 = 7/5(x + 4) <==here is one
y - y1 = m(x - x1)..using (1,3)
slope = 7/5
y - 3 = 7/5(x - 1) <== here is the other one
