Answer:
Step-by-step explanation:
The figure is made up of a rectangle and two semicircles.
We find the area of the rectangle using the formula;
We find the area of one of the semicircles and multiply by 2;
The area of the semicircles
We substitute and to obtain;
The area of the figure is
To the nearest tenth we have;
The correct answer is A
Answer:
Step-by-step explanation:
The equation of a line passing through two given points (x1,y1) and (x2,y2) is given by:
In this case, x1=-8,y1=8,x2=1,y2=-10
Substituting these values in the equation:
Simplifying,
=>
=>
=>
=>
Answer:
21.9%
Step-by-step explanation:
7000000/32000000=0.21875
move the decimal over two places to get percent and round the 8 up because of the 7. 21.9%
F(x) = 3x - 7
6 up; 2 right = 3(x-2) - 7 + 6
= 3x - 6 - 7 + 6
= 3x - 7
reflected about y-axis; 7 left = -3(x+7) -7
= -3x - 21 - 7
= -3x - 28
up 5 ; 2 vert stretch = (2)(3x - 7) + 5
= 6x - 14 + 5
= 6x - 9
up 9 ; 4 vert stretch = (4)(3x - 7) + 9
= 12x - 28 + 9
= 12x - 19
Let x= number rows
Then x + 5 = number of seats per row
x(x+5) = 126
X^2 + 5x = 126
x^2 + 5x -126 = 0; now factor or use quadratic:
(x+14)(x-9) = 0; so the answers are either -14, or 9, and since -14 is not possible in this case because you can't have a negative number of rows, the answer is 9 rows.
Check work: number of rows = 9, number of seats per row = 9+ 5= 14, and 9 x 14 = 126