Answer:
The answer is
±
in exact form or
,
in decimal form.
Step-by-step explanation:
To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring
, which will look like
. Next, simplify the equation again, which will look like
.
Then, use the quadratic formula to find the solutions. The quadratic formula looks like
.
For this problem, the quadratic variables are as follows:



The next step is to substitute the values
,
, and
into the quadratic formula and solve. The quadratic formula will look like
. To simplify the equation, start by simplifying the numerator, which will look like
. Then, multiply 2 by 1 and simplify the equation, which will look like
. The final answer is
±
in exact form. In decimal form, the final answer is
,
.
To find the value of x we first need to find the missing angle in the triangle.
To do that we are gonna add the angles we already have.
64 + 45 = 109
Angles in a triangle measures 180 so to get the missing angle we are gonna subtract 109 from 180
180 - 109 = 71 deg
The missing angle in the triangle is 71 deg
Angles on a straight line adds up to 10 so to find x we are gonna subtract 71 from 180
180 - 71 = 109 degrees
Therefore x is 109 degrees.
Step 1:
a) Write the quadratic model
a = -15.64
b = -1.24
c = 5.23

b) t = 0.30

c) t = 0.52 seconds

d) 0.30 is more likely to be relaible.
e)
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