Answer:
- A. Slope = -2, y-intercept = 2/3
Step-by-step explanation:
<u>Convert the given equation into slope-intercept form:</u>
- 3(y - 2) + 6(x + 1) - 2 = 0
- 3y - 6 + 6x + 6 - 2 = 0
- 3y + 6x - 2 = 0
- 3y = - 6x + 2
- y = - 2x + 2/3
The slope is -2, the y-intercept is 2/3
Correct choice is A
Answer:
z = 7
Step-by-step explanation:
Based on the midsegment theorem of a triangle, the length of the midsegment of the triangle (z) = ½ of the length of the 3rd side of the triangle (14)
Thus:
z = ½(14)
z = 7
Answer:
A) (1 s, 2.3 s)
B) (-4 m/s², 3.8 m/s²)
Step-by-step explanation:
The car's position which is the distance is given by the equation;
s(t) = t³ - 5t² + 7t
A) Velocity is the first derivative of the distance. Thus;
v(t) = ds/dt = 3t² - 10t + 7
At v = 0, we have;
3t² - 10t + 7 = 0
Using quadratic formula, we have;
t = 1 and t = 2.3
Thus, time at velocity of 0 is t = (1 s, 2.3 s)
B) acceleration is the derivative of the velocity. Thus;
a(t) = dV/dt = 6t - 10
At velocity of 0, we got t = 1 and t = 2.3
Thus;
a(1) = 6(1) - 10 = -4 m/s²
a(2.3) = 6(2.3) - 10 = 3.8 m/s
Thus, a(t) at v = 0 gives; (-4 m/s², 3.8 m/s²)
Answer:
D
Step-by-step explanation:
You know the slope has to be -5, because in the equation it says -5x. You know the y intercept has to be a number on the y axis, and since it says the y intercept is 4 in the equation, you would know its (0,4).
Answer:
no i dont think so
Step-by-step explanation:
