Answer:226
Step-by-step explanation:
Surface area =S
To find the surface area we have to apply formula :S=(2×Base Area) +(base prism×height)
Where, base area=11cm
Base prism=8.5cm, Hight =24cm to solve(2×11cm)+(8.5cm×24cm)=226cm
Answer:
A. False
C. False
B. False
D. True
Step-by-step explanation:
Frequency histogram is denote the actual frequency of each observation or different class- intervals whereas Relative frequency distribution shows the fraction of that frequency to the total frequencies or the percent of that frequency to the total.
Thus the shape of both histogram are same.
A. False.
C. False
Since, Scale of the y-axis is different. But they has same shape.
B. False
Since, vertical scale is different for both histogram and horizontal scale is same.
D. True
Answer:
-2
Step-by-step explanation:
They are asking for the slope. y2-y1/x2-x1
Make a table of results for the equation
x y
5 -2(5)+1=-10+1=-9 Y1
6 -2(6)+1=-12+1=-11 Y2
-11--9=-11+9=-2
6-5=1
Average rate pf change os -2/1=-2
Answer:
Step-by-step explanation:
<u>Given equation</u>:
This is an equation for a horizontal hyperbola.
<u>To complete the square for a hyperbola</u>
Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.
Factor out the coefficient of the x² term and the y² term.
Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:
Factor the two perfect trinomials on the left side:
Divide both sides by the number of the right side so the right side equals 1:
Simplify:
Therefore, this is the standard equation for a horizontal hyperbola with:
- center = (1, 2)
- vertices = (-2, 2) and (4, 2)
- co-vertices = (1, 0) and (1, 4)
