Step-by-step explanation:
First find the factors of 100 then
y2 + 20y +100
y2 +10y + 10y +100
y ( y + 10) + 10(y + 10)
So the factor is ( y + 10)
Option C is the correct answer
Answer:

Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The distance between the center and any point that lie on the circle is equal to the radius
we have the points
(5,-4) and (-3,2)
the formula to calculate the distance between two points is equal to
substitute the values
step 2
Find the equation of the circle
we know that
The equation of a circle in standard form is equal to

where
(h,k) is the center
r is the radius
we have

substitute


Answer:
5 bags of cement are required.
Step-by-step explanation:
Since to make concrete, the ratio of cement to sand is 1: 3, if cement and sand are sold in bags of equal mass, to determine how many bags of cement are required to make concrete using 15 bags of sand the following calculation must be done:
Cement = 1
Sand = 3
3 = 15
1 = X
15/3 = X
5 = X
Therefore, 5 bags of cement are required.
Answer:

Step-by-step explanation:
Hi there!
Slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)
<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>
where two points that fall on the line are
and 
Given the graph, we determine which points we could use. For example, we could use the two points
and
:

Therefore, the slope of the line is -6. Plug this into
:

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>
Recall that the y-intercept occurs when x=0. Given the point (0,2), we know that the y-intercept is 2. Plug this into
:

I hope this helps!