An intersection point, is a shared coordinate. If the equations share a coordinate we can say they are "equal". There are two ways (algebraically) to find this point. Substitution or linear combination. Because the coefficients are different, let's use linear combination
First stack the equations on top of each other.
2x + 3y = 5
3x + 4y = 6
Next let's manipulate one or both of the equations to get coefficients that are equal, but opposite. For this I'm going to turn the coefficient of x into 6 and -6 respectively by multiplying the first equation by 3 and the second by -2 to get
6x + 9y = 15
-6x -8y = -12
Now we can combine the equations with addition and the x's will cancel leaving a single variable (which we can solve)
y = 3
Now plug this back into either original equation to find the x coordinate.
2x + 3(3) = 5
2x + 9 = 5
2x = -4
x = -2.
So your intersection point is (-2,3)
Answer:
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Step-by-step explanation:
The equation that models the movement of the object is:
Where,
t: time
a: acceleration due to gravity
v0: initial speed
h0: initial height
Suppose that the object falls with zero initial velocity and from a height of 38 feet.
The equation that models the problem is:
Answer:
If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Step-by-step explanation:
The height of the door in the actual playhouse would be 4.5 ft
Answer:
A ≈ 78.54
Step-by-step explanation:
Area of a circle is A=πr^2
Since you do not know r (radius) you take the formula for the circumference of a circle (C=2πr), plug in 31.4 for C, and solve for r
Now that you have the radius of 4.99746521, you round it up to 5 and solve the area formula with 5 in as r.
