Option C: (0,125) is the y - intercept.
Explanation:
The given function is 
We need to determine the y - intercept.
<u>The value of y - intercept:</u>
The y - intercept is the value of y when x = 0
The y - intercept of the function can be determined by substituting x = 0 in the function.
Hence, let us substitute x = 0 in the function , we have,
Simplifying the terms, we get;
Thus, the value of y is 125.
Hence, the y - intercept is 125.
Therefore, the coordinates of the y - intercept are (0,125)
Hence, Option C is the correct answer.
Answer:
x = 38
y = 25
Step-by-step explanation:
To find x, you do
(2x + 5) = (3x - 33)
Subtract 2x from both sides to isolate x on one side, you get:
5 = (x - 33)
Add 33 to both sides to separate the normal number from the x, you get:
38 = x
From there, you plug x into one of the equations
2(38) + 5
The answer's 81, meaning that angle is 81 degrees. Using supplementary angles, you can find that angle ACD = 99, which you can use to find angle BCE. You'll get this equation:
(4y - 1) = 99
Add one to both sides to get rid of it, you get:
4y = 100
Divide by four, to get the y all alone:
y = 25
I hope this helped!
Answer:
pi × 18cm^2
Or approximately,
56.52cm^2 (using 3.14 for pi)
or
56.5487cm^2 (using pi button on calculator)
Step-by-step explanation:
Area of a circle is pi times [radius squared].
All circles are 360°.
Problem can be solved by finding area of whole circle, and then using ratios.
Whole Circle: area = pi × (9cm)^2 = pi × 81cm^2
80° / 360° = Area[shaded] / (pi × 81cm^2)
pi × 18cm^2 = Area[shaded]
((If you read my answer before the edit, I am sorry. I made a calculator error.))
The common ratio of the sequence is calculated by dividing the second term by the first term or dividing the third term by the second term. That is,
r = 250 / 333 = 0.75
or r = 187 / 250 = 0.748 = 0.75
To get the next term, we multiply 187 by 0.75 giving us an answer of 140.25 or 141.
