Answer:
8.04
Step-by-step explanation:
Solution 1
x= r- 4.5= 25.2/2 - 4.5= 8.1
Solution 2
x= √(25.2/2)² - 9.7²= √64.67= 8.04
refer to attachment
Y=- \frac{7}{3}

.
To find the equation of a line, you need two things: the slope and the y-intercept.
The slopes of parallel lines are the same. So we can find the slope of the new line by finding the slope of the first line. To do that, we need to put it in y=mx+b format, where m is the slope. So we must rearrange the 7x+3y=10. First subtract 7x from both sides to make it look like:

Then divide both sides three:
b

So now that it's in y=mx+b format, we can now see that the m= - \frac{7}{3}
Now we know the m of the new equation, we need to find the b, or the y-intercept. To do this, we can plug the point we have and the m value into the y=mx+b format.

Solving this, we can subtract 7/3 from both sides:

Therefore, b=

Plugging the m= - \frac{7}{3} and the b=

back into the y=mx+b format, your parallel line is y=- \frac{7}{3}

.
Answer:
The solution is 
Step-by-step explanation:
The equation

can be rewritten as

and can be further simplified to
.
Now, taking the inverse sine of both sides we get:


The value of the right side on the interval
is
,
which makes the equation (2)

solving for
gives

which is our solution.
11 you count by 3 with the pizzas and 2 with the side dishes
Answer:
h(x) = -16x² + 192x + 208
784ft
6 sec
13 sec
Step-by-step explanation:
a)
h(x) = -16x² +vx + h
here v represent velocity
represent initial height of launch
h(x) = -16x² + 192x + 208
b)
h(x) = -16x² + 192x + 208
here a = -16
b = 192
c = 208
x = -b/2a
= -192/2(-16)
= 6
plug this value in the equation
h(x) = -16(6)² + 192(6) + 208
= 784ft
e)
Plug h(x)=0 in the equation
0 = -16x² + 192x + 208
divide equation by -16
x² - 12x - 13 = 0
Factors
1x * -13x = -13
1x - 13x = -12
Factorised form
x² - 12x - 13 = 0
x² + x - 13x - 13 = 0
x(x+1) -13(x+1) = 0
(x+1)(x-13) = 0
x = -1
x = 13
Since time can not be negative so we will reject x = -1