Answer:
x^12
Step-by-step explanation:
Answer:
we have the equation y = (1/2)*x + 4.
now, any equation that passes through the point (4, 6) will intersect this line, so if we have an equation f(x), we must see if:
f(4) = 6.
if f(4) = 6, then f(x) intersects the equation y = (1/2)*x + 4 in the point (4, 6).
If we want to construct f(x), an easy example can be:
f(x) = y = k*x.
such that:
6 = k*4
k = 6/4 = 3/2.
then the function
f(x) = y= (3/2)*x intersects the equation y = (1/2)*x + 4 in the point (4, 6)
The answer is 3 + √5 and 3 - √5.
This is quadratic equation: x²
- 6x +
4 = 0
The general quadratic equation is ax² +
bx +
c = 0
Our equation can be rewritten: 1x² + (-6)x + 4 = 0
So, in our equation we have: a = 1, b = -6, c = 4
Now, x can be calculated using the formula:


From here:
Answer:
27 degrees
Step-by-step explanation:
First, we can draw this out. Since the altitude is 8000, we can make that the height, and it goes 16000 feet through the air, that can be the length. I have drawn this out, as shown in the image. Note that when drawing, because the airplane is going up and forward, that path should represent the hypotenuse. The angle of elevation is the angle connecting the length and the path, as shown by the angle x in the picture.
We know than tan(x) = opposite/adjacent, so tan(x) here = 8000/16000 = 1/2. Then, arctan(1/2) =x = 27 degrees
Answer:
<h3 />
a. 
b. 
Step-by-step explanation:
a. Given,
Perimeter of rectangular field ( P ) = 310 m
Length of the field ( L ) = 84 m
Width of the field ( W ) = ?
<u>Finding </u><u>the </u><u>width </u><u>of </u><u>the </u><u>rectangular</u><u> </u><u>field</u>

plug the values
⇒
Distribute 2 through the parentheses
⇒
Swap the sides of the equation
⇒
Move 168 to right hand side and change it's sign
⇒
Subtract 168 from 310
⇒
Divide both sides of the equation by 2
⇒
Calculate
⇒
Width = 71 meters
------------------------------------------------------------
2. Given,
Area of rectangular painting ( A ) = 5185 cm²
Width of the painting ( w ) = 61 cm
Length of the painting ( l ) = ?
<u>Finding </u><u>length </u><u>of </u><u>the </u><u>painting</u>

plug the values
⇒
Swap the sides of the equation
⇒
Divide both sides of the equation by 61
⇒
Calculate
⇒
cm
Length = 85 cm
Hope I helped!
Best regards !!!