Answer:
LCD = 270
Equivalent Fractions with the LCD
1/6 = 45/270
13/27 = 130/270
4/5 = 216/270
3/10 = 81/270
2/5 = 108/270
The answer is A
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Answer:
(x+9)^2 + (y+1)^2 = 100
Step-by-step explanation:
Since the question says diameter, we know the boundary in a circle. Therefore, we just need to find the center and radius.
The center is the midpoint of the two endpoints on a diameter.
Here, it is (-9, -1).
Therefore, the left part of the equation is (x- -9)^2 + (y - -1)^2 = (x+9)^2 + (y+1)^2.
The radius: sqrt(8^2 + 6^2) = 10
So the equation is (x+9)^2 + (y+1)^2 = 100
Answer:
y = 3x + 1
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is Y = 3X - 5. Its slope is 3. A line parallel to this one will also have a slope of 3.
Plug this value (3) into your standard point-slope equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (0, 1). Plug in the x and y values into the x and y of the standard equation.
1 = 3(0) + b
To find b, multiply the slope and the input of x (0)
1 = 0 + b
Now, add 0 to both sides to isolate b.
1 = b
Plug this into your standard equation.
y = 3x + 1
This equation is parallel to your given equation (y = 3x - 5) and contains point (0, 1)
Hope this helps!
Answer:
Jeff mows 9 yards of lawn in 30 minutes
Step-by-step explanation:
The equation that models the amount of time (t) in minutes it takes Jeff to mow an average sized yard is 
, where n is the number of yards he mows.
To find the number of yards Jeff mows in 30 minutes, we set the equation to 30 and solve for n.
Add -12 to both sides:
Divide both sides by 2
Hence Jeff mows 9 yards of lawn in 30 minutes.
