Since the minimum value is 0 and axis of symmetry is -2 this means that the vertex is at -2,0 now with the y intercept of 4. You can now plug the values into Vertex form which will be y=a(x-h)^2+k. a being the shrink or stretch of the parabola, h being the x value of the vertex, and k being the y value of the vertex. with all of that plugged in it should look like y=(x+2)^2. You can check this equation by plugging in 0 as x which should find the y intercept of 4. So it should then look like y=(0+2)^2 -> y=(2)^2 -> y=4
Answer:
∠B=60°
Step-by-step explanation:
In this right traingle, using angle B, you have the opposite side which is 6√102, and the adjacent side which is 6√34. Using SOHCAHTOA this invlolves TOA so tangent B = OPPOSITE/ADJACENT or tan B = 6√102/6√34. Simplifying gives tan B=√3. You can use your calculator to solve for B by taking the inverse tangent of √3 or you can use the known trig ratios from the unit circle if you have already learned that to find that angle B is 60°
<span>In statistics, an outlier is an observation point that is distant from other observations.
Given the points
15, 23, 24, 26, 27 and 35
Notice, that the points 15 and 35 are distance from the other points and hence are outliers.
The mean of the observations including the outliers is given by
The mean of the observations without the outliers is given by
Therefore, </span>when <span>the outliers are removed,
the mean remains the same.</span>
Given parameters:
Distance traveled = 1778miles
Average speed = 61.7 miles per hour
Unknown:
Time taken for the travel = ?
Speed is a physical quantity. It is the rate of change of distance with time.
It can be mathematically expressed as;
Speed =
The unknown here is the time taken;
Substitute the parameters and solve for it;
61.7 =
time taken = = 28.8hrs
The time taken is 28.8hrs
The answer is D) multiplying the number by 100