Answer:
10.67 m
Step-by-step explanation:
Velocity is given as;
v(t) = t² − t − 6
To get the distance, we will integrate the velocity equation.
x(t) = ∫v(t) = (t³/3) - (t²/2) - 6t
Thus, from t=0 seconds to t=4 seconds., we have;
(t³/3) - (t²/2) - 6t between 0 and 4.
Thus;
Total Distance = [(4³/3) - (4²/2) - 6(4)] - [(0³/3) - (0²/2) - 6(0)]
Total distance = (64/3) - 8 - 24 = -10.67 m
Distance can't be negative and so we take the absolute value which is 10.67 m
Exponential form is when a certain number is raised to the power of a certain number or also known as exponents. Exponents signifies that the base or the number that is being raised to a certain powers will be multiplied a number of times, based on the exponents).
Exponential form is defined as repeated multiplication of the base.
Answer: y = 6
Step-by-step explanation:
A square's area can be done by using s^2, where s is y in this case. Because there are 5 squares, the area of the figure is 5y^2. Because the area is also 180cm, 5y^2=180.
Then divide both sides of the equation by 5 to get y^2 = 36. Then square root both sides of the equation to get y = 6.
Hope it helps <3
Find the slope using the formula [ y2-y1/x2-x1 ].
-9-(-12)/-15-(-24)
3/9
1/3
Find the y-intercept using the formula [ y = mx + b ].
y = 1/3x + b
-12 = 1/3(-24) + b
-12 = -8 + b
-4 = b
Use (18, 2) to see if the line passes through it
y = 1/3x - 4
2 = 1/3(18) - 4
2 = 6 - 4
2 = 2 TRUE
Thus, the line does pass through (18, 2).
Best of Luck!
Answer:
33
Step-by-step explanation:
2x^2 +3y
Let x =3 and y=5
2 *(3)^2 +3(5)
We do exponents first
2 * 9 + 3(5)
Then multiply
18+ 15
Add
33
