Step-by-step explanation:
I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.
y = -16x² + 64x + 89
shows us that the tower is 89 ft tall (the result for x = 0, at the start).
anyway, if the original assumption is correct, then we need to solve
0 = -16x² + 64x + 89
the general solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/)2a)
in our case
a = -16
b = 64
c = 89
x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =
= (-64 ± sqrt(4096 + 5696))/-32 =
= (-64 ± sqrt(9792))/-32
x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s
x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s
the negative solution for time is but useful here (it would be the time calculated back to ground at the start).
so, x2 is our solution.
the rocket hits the ground after about 5.09 seconds.
Answer:Well, I don't know what you got so I can't tell you if it is right.
If it works in both equations, it depends of whether your equations are set up correctly.
Here is how I would do this problem.
Let x = no. of hot dogs,y = number of sodas.
First equation is just about the number of things.
x + y = 15
Second equation is about the cost of things.
1.5 x + .75 y = 18
solve x+y = 15 for y y = 15-x substitute into second equation
1.5x + .75(15 - x) = 18
You should get the correct answer for number of hot dogs if you solve this correctly. Put your answer in the x + y =15 equation to get y. Then put both x and y into the cost equation and check your answer.
Hope this helps.
Step-by-step explanation:
Answer:
Step-by-step explanation:
base=42 m
height=h=?
base angle θ=60°
tan 60=h/42
h=42tan 60=42√3≈72.75 m
height of taller building=135+42√3 m≈135+72.75≈207.75 m≈208 m
Answer:
commutative property
Step-by-step explanation:
Either order or way you put the numbers, it will be the same answer.
If Myesha found 6 nickels and 12 quarters under her cushion, this means that she has a total of 18 coins.
<h3>What is an
equation?</h3>
An equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the number of nickels and y represent the number of quarters. There are 2 cups in 1 pint. Hence:
If she has 6 nickels and 12 quarters:
Number of coins = 12 + 6 = 18
If she has x nickels and y quarters:
Number of coins = x + y
If Myesha has 6 nickels and 12 quarters, this means that she has 18 coins.
Find out more on equation at: brainly.com/question/2972832