Answer:
D=1
Step-by-step explanation:
g(x)=x³-9x²+27x-25
g(2)=(2)³-9(2)²+27(2)-25
=8-36+54-25
=1
Answer:
Step-by-step explanation:
Given that Driede drew a quadrilateral with 4 right angles and opposite sides of the same length.
Since quadrilateral have all angles 90 degrees it can be called a rectangle
2) Since opposite sides equal, it can be called a parallelogram
3) since one pair of sides parallel, it can be called trapezium
4) Since all sides are equal it can be called rhombus
5) since adjacent sides of two pairs are equal it can be called a kite
6) Since all sides and all angles are equal, it is also a square
In general it can also be called a quadrilateral.
This is the concept of scales factors, given that two similar solids with 729 inches^3 and 125 inches^3. The volume scale factor will be given by:
(volume of larger solid)/(volume of smaller solid)
=729/125
but
linear scale factor=(volume scale factor)^1/3
thus the linear scale factor will be:
(729/125)^1/3
=9/5
Also, area scale factor will be given by:
area scale factor=(linear scale factor)^2
=(9/5)^2
=81/25
The area of the larger solid will be given by:
let the area be A;
A/74.32=81/25
thus
A=81/25*74.32
A=240.7968 inches^2
Answer: x= 42.3
Step-by-step explanation:
Sqrt a^2 + b^2 - (2ab)(cos 100)
Sqrt 25^2 + 30^2 - (2)(25)(30)(cos 100)
42.3
Answer:
The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.
Step-by-step explanation:
A linear equation can be expressed in the form y=m*x + b. In this equation, x and y are coordinates of a point, m is the slope and b is the y coordinate of the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.
When there are two points of a line (x1, y1) and (x2, y2), the slope is determined by the quotient between the difference of the ordinate of these two points and the difference of the abscissa of the same points. This is:

Having a point on the line, you can substitute the values of m, x and y in the equation y = mx + b and thus find b.
In this case:
- (x1, y1): (92, 107)
- (x2, y2): (116, 113)
So:

m= 0.25
substituting the values of m, x1 and y1 in the equation y = mx + b you have:
107= 0.25*92 + b
107 - 0.25*92= b
84=b
<u><em>The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.</em></u>