Answer:
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to
where (h,k) is the vertex of the parabola
The axis of symmetry is equal to
In this problem the parabola open upward
so
the coefficient a is positive
The coordinates of the vertex will be 
(the y-coordinate is negative)
so
the equation will be of the form
Answer:
adjacent angles
complementary angles
Step-by-step explanation:
vertical angles are across from each other and equal False
adjacent angles are next to each other True
Complementary angles add to 90 degrees ( If next to each other , they form a right angle) True
Supplementary angles. add to 180 degrees, ( if next to each other, they form a straight line) False
Answer:
y = (-5/4)x + 5
Step-by-step explanation:
Slope-intercept form is y = mx + b
m is the slope and b is the y-intercept
To find m, we can use the plotted points on the graph
(0,5)(4,0)
Now, do delta y/ delta x
(0-5)/(4-0)
slope = -5/4
Now, the y-intercept is the point where the graph crosses the y-axis
This point is where x is 0. Here, when x is 0, y is 5.
Therefore, the y-intercept is 5
Finally, replace what you've found into the equation
y = (-5/4)x + 5
Answer:
The scatter diagram that contains the correlation coefficient closest to r = 1 is the first one shown in the attached images.
Step-by-step explanation:
The correlation coefficient "r" measures how much two variables x and y are related. When the variables are highly related, the value of r is closer to one and the points contained in the scatter diagrams are assimilated more and more to a line. When the value of r is positive the relation is crescent and therefore the slope of the line drawn by the points in the diagram has a positive slope
Therefore, to answer this question, one must search among the attached images for the dispersion diagram in which the points resemble a straight line with a positive slope.
The scatter diagram that meets the requirements mentioned is the first one that appears in the attached images
The distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.
<h3>What is distance?</h3>
Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have:
Speed = 72 km/h
time = 45 mins = 45/60 = 0.75 hours
We know,
Distance = Speed×time
Distance = 72(km/h)×0.75(h)
Distance = 54 km
Thus, the distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.
Learn more about the distance here:
brainly.com/question/26711747
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