The quadratic formula is -b + or - the square root of b squared - 4 times the a value and c value over 2a. So the roots would be -1.354249 and -6.645751. I believe these are the roots.
Answer:
The kite is about 44.1 feet high.
Step-by-step explanation
Since you are trying to find the height, you would draw a triangle to diagram which sides you need to use. The 123 ft of string would be the hypotenuse of the triangle while the 21 degrees is the theta. You are trying to find the height and from the theta that would be the opposite side so you would use sine because you are using opposite and hypotenuse.
sin21=x/123
You have sin of 21 because that is the angle measure, then opposite over hypotenuse which is x/123.
You then multiply both sides by 123 to get the variable of x alone on one side.
123sin21=x
Then just plug this into your calculator and round to the nearest tenth and you get 44.1 feet.
Hope this helped explain how to do these problems, I had trouble doing them awhile back in Algebra 2 so hope this helped out a little.
Answer:
The answer is 4
Step-by-step explanation:
If we let
x equal the number, then,
x 2
+
5
x
=
36
The square is indicated with ^
2
.If we add it to five times that number, or
5
⋅
x
=
5
x
, then we get x
2
+
5
x
=
36
.
This is a quadratic! We subtract 36 from both sides to get x
2
+
5
x
−
36
=
0
.
Solving it, we get
(
x
−
4
)
(
x
+
9
)
.
Remember, though! The number must be positive.
x
>
0
.
Therefore the only possible answer is
x
=
4
.
Yay!
Rectangle B = 56inches by 28inches
It’s pretty easy you just multiply 8 by 7 and 4 by 7.