There are two ways for finding p, here is one way:
1/2 = 4p
Multiply both sides by 2:
1 = 8p
Divide both sides by 8:
0.125 = p
Answer:
p = 0.125
Hope it helped :)
Answer:
A.)
Step-by-step explanation:
Translations are as follows: Up is + on Y axis, down is - on Y axis. Right is + on X axis and left is - on X axis.
The function f(x) = x+8 is translated to (0,8) since their is no number in a bracket with x (example: f(x)= (x-2)+5 would be (2,5) since the X axis is taken as the opposite sign).
g(x) = x-3 translates to (0,-3) which is 11 units down from f(x)
Answer:
18° and 72°
Step-by-step explanation:
Complimentary angles form 90°
We have an angle (x) 4 times larger than the other (y).
Well actually, a system of equations isn't required, so forget about x and y, just divide 90 by 5. This gives you 18, one of the angle's measurements is 18°. Multiply 18 by 4 and get 72. The other angle's measurement is 72°.
Answer:
Two different transformations happen. Rotation/Reflection and translation (I say rotation/reflection because they can both put the parabola where it is after being transformed)
(Rotation- 180 degrees)
(Reflection across its it's starting point)
Translation- pushed up 4 points from negative 4 to 0 on the y-axis
When you put the parent function into a graph it is positive so the u is opening upward and starts at -4. Both sides of the u go through the points (0,0)and (4,0).
But in the transformed function is negative so the u opens downward. The sides going through the points (0,-4) and (4,-4)
I hope this makes sense
Answer:
63 degrees
Step-by-step explanation:
Since this is an isosceles triangle, the two bottom angles must be equal, while the top angle (in the way this specific triangle is oriented) must be different. Therefore, angle CDB is 63 degrees.
