Answer:
vertex =
(
4 , 25
)
Step-by-step explanation:
given a parabola in standard form y
= a
x
2
+
b
x
+
c
x
;
a
≠
0
then the x-coordinate of the vertex is
X vertex=-b/2a
y=-x2+8x+9 with a=-1 b=8 c=9
X vertex= -8/-2=4
substitute the value on the equation
Y vertex = -(4)squared+8(4)+9=25
Answer:
The perimeter and area of the square are 56 units and 196 square units, respectively.
Step-by-step explanation:
The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is 
time the length of any of its legs. If the hypotenuse has a measure of 
, then the legs of the triangle have a measure of 
.
Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.
Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:
Perimeter
(1)
Area
(2)
Where 
is the side length of the square.
If we know that 
, then the perimeter and area of the square are, respectively:
The perimeter and area of the square are 56 units and 196 square units, respectively.
Answer:
<em>In statistics, linear regression is a linear approach to modelling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables). The case of one explanatory variable is called simple linear regression. For more than one explanatory variable, the process is called multiple linear regression. This term is distinct from multivariate linear regression, where multiple correlated dependent variables are predicted, rather than a single scalar variable.</em>
The answer for A. Is Yes. For every number of cups, there is one height in centimeters. The answer for B. Is Yes. Each height in centimeters corresponds to one particular number of cups. Hope this helps.
36 is the median and add them all then divide by 5 to get the mean
