Answer:
see the explanation and the attached figure
Step-by-step explanation:
we have
----> given
Divide by -2 both sides
----> by Division Property of Equality
Simplifying

Subtract 1 both sides
----> by Subtraction Property of Equality
Simplifying

We know that
[area of the figure]=[area of rectangle]+[area of semi circle]
area of rectangle=b*h------> 10*18-----> 180 cm²
area of semicircle=pi*r²/2
diameter=18 cm
radius=18/2----> 9 cm
area of semicircle=pi*9²/2-----> 127.17 cm²
[area of the figure]=[180]+[127.17]------> 307.17 cm²
round <span>to the nearest unit </span>------> 307 cm²
the answer is
the area of the figure is 307 cm²
Answer:
AE=22.4
Step-by-step explanation:
BE is 1/2 of BC
BC is 20 cm All sides of a square are equal
BE = 1/2 BC Property of a midpoint.
BE = 10
Now just use Pythagorus
AB^2 + BE^2 = AE^2
AE^2 = 20^2 + 10^2 Perform the sqrs
AE^2 = 400 + 100 Add the terms
AE^2 = 500 Take the square root of both sides
√AE^2 = √500
AE = 22.36
AE ≈ 22.4
we have

<u>Statements</u>
<u>case A)</u> The graph is a straight line.
The statement is True
Because, this is a linear equation (see the attached figure)
<u>case B)</u> The line passes through the origin.
The statement is False
Because the point
is not a solution of the equation
Verify
Substitute the value of x and y in the equation

------> is not true
the point
is not a solution
therefore
The line does not pass through the origin
<u>case C)</u> The line passes through the point 
The statement is True
Because the point
is a solution of the equation
Verify
Substitute the value of x and y in the equation

------> is true
the point
is a solution
therefore
The line passes through the point 
<u>case D) </u>The slope of the line is 
The statement is False
Because, the slope of the line is 
<u>case E)</u> The y-intercept of the line is 
The statement is False
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For 
find the value of y

the y-intercept is equal to 
b is the correct answer
Step-by-step explanation:
see the step in the picture