<span>When dividing two numbers with the same base but with different powers, you subtract the second power from the first and keep the base. So in our case, -12*x^8*y^8 / 3*x^4*y^2 = -4*x^4*y^6. The correct answer is d.</span>
The equation of a circle is (x-h)^2 + (y-k)^2 = r^2. Where "x" and "y" are variables, "h" and "k" are the coordinates of the center of the circle, and "r" is the length of the radius. It is given that the center of the circle is (-27, 120). So, h= -27 and k= 120. If the circle passes through the origin, we can assume that the origin is on the circle. Since a circle's radius is constant no matter where it is drawn/is, we can find the radius of the circle by finding the distance between the circle's center (-27, 120) and the origin, (0, 0). The distance formula is: d= √((x[2]-x[1])^2-(y[2]-y[1])^2). If the coordinates of the center of the circle are (x[2}, y[2]), then x[2]= -27 and y[2]= 120. Then, the origin is the (x[1], y[1]). So, x[1] = 0 and y[1] = 0. Plugging the numbers in we get: √((-27-0)^2-(120-0)^2). This gives us √(729+14400) = 123. So since the distance between the center of the circle and a point on the circle is 123 (units), then the radius has a value of 123.
Plugging all the numbers into the equation of a circle, we get: (x-(-27))^2+(y-120)^2=123^2.
Answer:
they lost 2
Step-by-step explanation:
Answer:
solve simultaneously
start by labeling them equation 1 and 2 then choose whether you want to make x or y the subject from knew of the equations
Answer:
<u>The actual size of the freight car on the real train is 56 feet</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Scale model of the train engine length = 1 inch
Real length of the train engine = 28 feet
Scale model of the freight car = 2 inches
2. What is the actual size of the freight car on the real train?
We will use the Rule of Three Simple to answer this question, this way:
Actual size Scale model
28 feet 1 inch
x 2 inches
Actual size of the freight car on the real train * 1 = 28 * 2
Actual size of the freight car on the real train = 56 feet
<u>The actual size of the freight car on the real train is 56 feet</u>
