Help please!! 20 point question!! Which equation represents the general form a circle with a center at (-2, -3) and a diameter o
f 8 units?
a. x2 + y2 + 4x + 6y - 51 = 0
b. x2 + y2 - 4x - y -51 = 0
c. x2 + y2 + 4x + 6y – 3 = 0
d. x2 + y2 - 4x - 6y - 3 = 0
a. x2 + y2 + 4x + 6y - 51 = 0
b. x2 + y2 - 4x - y -51 = 0
c. x2 + y2 + 4x + 6y – 3 = 0
d. x2 + y2 - 4x - 6y - 3 = 0
1 answer:
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Answer:
It is not possible to draw a triangle with given measurements of 3.5, 3.5, and 9.
Step-by-step explanation:
<em><u>Scalene Triangle</u></em> - All 3 sides have different lengths.
<em><u>I</u></em><em><u>s</u></em><em><u>osceles</u></em><em><u> </u></em><em><u>Triangle</u></em> - 2 sides have equal lengths.
<em><u>Equilateral</u></em><em><u> </u></em><em><u>Triangle</u></em> - All 3 sides have equal lengths.
You must be thinking that it would be Isosceles triangle, but it is not. The measurements you gave is 3.5, 3.5, and 9. Grab a piece of paper, ruler, and a pencil. First draw the length of 9 cm with your pencil and ruler (let us pretend that the measurements are in cm). Then draw 3.5 cm by placing your ruler on the end/start of your 9cm line that you drew before. Then, once again draw a 3.5 cm on the other end of the 9cm line. You will see something like the picture above. You can see that the two sides of the triangle are not intersecting on the top. This means that the triangle formation cannot be made by the given measurements of 3.5, 3.5, and 9.
I hope you understand my answer and this is an easy way to find if, from the given measurements, a triangle is able to be drawn. Thank you !!
Answer:
The actual number of calories that Mya burned when she
trained for 30 minutes is 240.
Step-by-step explanation:
We have an exponential function that is the best fit for the number of calories Mya burns, in function of time (minutes).
The function is:
Where y: calories burned, and x: training time.
Whenever we use regression models, we have a real value and a predicted value. The difference between them, the measure we want to minimize when we adjust with this typo of models, is called residual.
In the table is shown as one of the columns.
For example, for x=10 minutes, we have a real value of 30 and a predicted value of 78.36, so the residual becomes e=30-78.36=-48.36.
For x=30 minutes, we have only the residual, that has a value of 5.53. That means that the predicted value, which we can calculate, is 5.53 below the real value.
The predicted value for x=30 is:
Using the equation for the residual e, we can calcualte the actual number of calories that Mya burned in 30 minutes: