In looking at it I would guess it is asking which of the points is on the line? To answer that you would have to take each point an plug it into the equation and see if it is true.
3x - 7 = y
A(9,20)
3(9) - 7 = 20
27 - 7 = 20
20 = 20 True - this point is on the line
B(5,0)
3(5) - 7 = 0
15 - 7 = 0
8 = 0 False - this point is not on the line
C(3,2)
3(3) - 7 = 2
9 - 7 = 2
2 = 2 True - this point is on the line
I hope this helps
The answer is <span>$494.55</span>
Let's first imagine a circle and calculate its area and then reduce it in half for the area of a semi-circle. Since this opening is above <span>a 30-inch wide door, the circle will have a diameter of 30 inches.
The area of the circle (A) is:
A = </span>π · r²
where:
π = 3.14
r - radius: r = diameter ÷ 2 = 30 ÷ 2 = 15 inches
So, the area of the circle is:
A = π · r² = 3.14 · 15² = 706.5 inches²
The area of the semicircle is half of the area of the circle:
A1 = A ÷ 2 = 706.5 ÷ 2 = 353.25 inches²
Since the stained glass window costs $1.40 <span>per square inch, for 353.25 square inches it will cost $494.55:
353.25 square inches * 1.40 $/square inch = $494.55</span>
Hey there.. I will be more than happy to help you today.. :)
A Number squared decreased by ten
We will do this with steps:-
Step 1 - "A number ". So, Let's say any number be x
Step 2 - "A number squared". Our number x is squared i.e. x²
Step 3 - "A number squared" ( i.e. x² ) is decreased by ten
x² - 10
This is your answer.
Hope this helps you :)
Smaller Angle: 49 degrees
Bigger Angle: 131 degrees
Note that supplementary angles add up to be 180 degrees. Knowing this and the information provided in the question, we can use the following system of equations:
x + y = 180 (showing they both add up to 180)
x + 82 = y (to show one angle is 82 more than the other)
We can use the substitution method to solve. Since the second equation ends in "= y" we can substitute the value of it into y for the first equation.
x + y = 180; x + 82 = y ==> x + (x + 82) = 180
And now, solve for x:
x + (x + 82) = 180
x + x + 82 = 180 > combine like terms
2x + 82 = 180
2x = 98
x = 49
So now we have the value for one of the angles! Remembering that the other angle is 82 degrees bigger, dd 49 + 82, which equals 131.
So, our two angle values are 131 and 49! This is correct since both angle measures add up to be 180, which also makes them supplementary!
Answer: 317/305 or 1 12/305
Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.
