Answer:
true
Step-by-step explanation:
idek
Answer:

Step-by-step explanation:
The parabola with vertex at point (h,k) is described by the following model:

The equation which satisfies the conditions described above:


The two points are evaluated herein:
x = -6




x = -2




The equation of the translated function is
.
Answer:
Option (1)
Step-by-step explanation:
System of equations has been given as
2x + 6y = 14
By dividing this equation by 2
x + 3y = 7 --------(1)
Second equation is,
-2x + 2y = -10
-x + y = -5 -------(2)
By adding equation (1) and equation (2)
(x + 3y) + (-x + y) = 7 - 5
2x = 2
x = 1
By putting x = 1 in the equation (1)
1 + 3y = 7
3y = 6
y = 2
So, we get exactly one solution pair (1, 2) where these lines are intersecting.
Therefore, the best category that defines the system of equations is Consistent/Independent
Option (1) will be the answer.
Answer:
Sam has traveled a distance of 9/16 of a mile
Step-by-step explanation:
Here, we want to calculate the distance traveled by Sam so far.
The distance between his home and the library is 3/4 mile = 0.75 mile
Now, he is 1/4 of the way there; this means that he has traveled a total of 3/4 of the total distance.
By being at a distance which is just a quarter of the total, it means he has already traveled 3/4 of the journey.
So the distance traveled so far will be 3/4 of 0.75 or more simply 3/4 of 3/4 = 3/4 * 3/4 = 9/16 of a mile
Answer:
0.28
Step-by-step explanation:
Angles in standard position are angles with the initial side on the positive x-axis.
Since (7,24) lies on the terminal side of an angle, hence the line passing through the origin and point (7, 24) forms an angle with the x axis.
The slope of the line passing through the origin (0, 0) and the point (7, 24) is given by:

The angle θ between a straight line and the x axis is:
tanθ = m
where m is the slope of the line.
Let θ be the angle between the line with a slope of 24/7 and the x axis, therefore:
tanθ = 24 / 7
θ = tan⁻¹(24/7)
θ = 73.74°
cosθ = cos(73.74°) = 0.28