Answer:
4th option
Step-by-step explanation:
The relationship is linear,
putting the value of x in the right side of the equation of option 4, you'll get the value of the left side
putting, x=1
y+4=-1/2(x-1)
y=-1/2(1-1)-4
y=-4
putting, x=7
y+4=-1/2(7-1)
y=-1/2(6)-4
y=-6/2-4
y=-3-4
y=-7
Answer:
To solve this problem, we can use a system of equations.
We know the quadratic expression has the form

Using points (1,12) and (4,0), we can form the following system to find a and b.


We need to divide the second equation by -4 and sum both equations


Then, we use this value to find the other variable

<h3>Therefore, the quadratic function that models the situation is</h3>
or 
According to this expression, after 2 seconds, the height is 16 feet.

Answer:
8/75
Step-by-step explanation:
make a table chart
divided 75 by 75 to get one then do it to the other side
8 divided by 75
will give you 8/75
Answer:
3.7feet
Step-by-step explanations
Using the sin rule
A/sin a = B/sin b
Let A = PQ = 8.5feet
B = QR = x feet
a = R = 90°
b = P = 26°
Substitute the values into the Sin rule
8.5/sin90 = x/sin26
8.5×sin 26 = x × sin 90
8.5×0.4383 = x× 1
3.7255 = x
Hence the length of QR to the nearest tenth 3.7feet
Let F be the father's current age, and E be Evie's current age.
F = E + 36 this is the current relation between the ages
F + 3 = 5(E + 3) this the relationship in 3 year (hence the + 3)
Then solve by substituting one equation into another:
(E + 36) + 3 = 5(E + 3)
E + 39 = 5E + 15
24 = 4E
6 = E
Evie's current age is 6.