Which is the equation of a parabola with vertex (0,0), that opens to the right and has a focal width of 8?
Answers
Answer:
Equation of parabola:
Step-by-step explanation:
A parabola with vertex (0,0), that opens to the right.
The general equation of parabola open right whose vertex (0,0)
Focal width : Two points opposite to the the focus on parabola.
Distance between these two points is called focal width i,e 4p
Focal width = 8
So, 4p=8
p=2
Focus: (2,0)
Equation of parabola:
Answer:
Vertex: V=(0,0)=(h,k)→h=0, k=0
Opens downward:
(x-h)^2=4p(y-k)
Width focal: p=-6<0 (donwnward)
Replacing h=0, k=0 and p=-6 in the equation above:
(x-0)^2=4(-6)(y-0)
x^2=-24y
Answer: The equation of the parabola is x^2=-24y
Step-by-step explanation:
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Answers
The speed of the bus is 125 kmph
What is speed?
Speed is a scalar quantity that refers to how fast an object is moving.
Given that, a speed of a bus that travels 250 km in 2 hours.
We know,
Speed = distance / time
Distance = 250 km
Time = 2 hours
Speed = 250 / 2
= 125 kmph
Hence, the speed of the bus is 125 kmph
Learn more about speed, click;
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Answers
i hope this is helpful
have a nice day
Answers
The angle of elevation must be 68.202 degrees
Solution:
Given that, 14 foot ladder is used to scale a 13 foot wall
We have to find the angle of elevation must the ladder be situated in order to reach the top of the wall
The figure for this solution is attached below
The ladder, wall and the ground forms a right angled triangle
ABC is a right angled triangle
AB is the height of wall = 13 feet
AC is the length of ladder = 14 feet
We have to find the angle of elevation
Let the angle of elevation be "x"
For right angled triangle ABC, We can use the definition for sine
Here, in figure, opposite = AB and hypotenuse = AC
Thus the angle of elevation must be 68.202 degrees
The angle of elevation the ladder will be situated in order to reach the top of the wall is 68°.
What is a right triangle?
A right triangle has one of its angles as 90 degrees. The angle of elevation can be found using trigonometric ratios.
Therefore, the angle of elevation can be calculated as follows;
The length of the ladder is the hypotenuse.
The opposite side is the height of the wall.
Therefore,
sin ∅ = opposite / hypotenuse
sin ∅ = 13 / 14
∅ = sin⁻¹ 0.92857142857
∅ = 68.2129901712
∅ = 68°
learn more on right triangle here: brainly.com/question/22479729
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b. They are corresponding angles.
c. They are alternate interior angles.
d. They are alternate exterior angles.
I think it is b
Answers
Answer:
(B) they are corresponding angles
Step-by-step explanation:
Since, Chicago Ave is parallel to Ontario street, The relationship between angles 5 and 9 will be corresponding angles, as from the figure, it can be seen that these angles do not form neither alternate interior angles nor alternate exterior angles. Also, they do not form same side interior angles, thus both angles form corresponding angles as both the Chicago ave and Ontario street are parallel and using the property of parallel line.
Answer:
B
Step-by-step explanation:
I think it is b as well. Are you taking the honors geometry semester 1 test?
O-b = -a. O b-a=0
Ob(-a) = 0
Answers
Blablablabla
Answers
Answer:
Solve for x by simplifying both sides of the inequality, then isolating the variable.
Inequality Form:
x>10
Interval Notation:
(10,∞)