Answer: 21.44 cm
Step-by-step explanation:
Given
Radius r=15 cm
distance of chord from the center is 10 cm
From the figure, the length of the chord is AC
Applying Pythagoras

The length of the chord is 
Answer:

Step-by-step explanation:
To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

So, the average rate of change of:

Over the interval 
Is:


Therefore, the average rate of change of this function over that interval is 3.
Sarah spendings
We have that Sarah spends 2/3 of $1,830 in rent food and clothing
In order to find the money she spends, we just have to divide $1,830 in 3 and multiply the result by 2:

<h2>
Answer - D. $1,220</h2>
Answer:

Step-by-step explanation:
We are given two points, the y - intercept and the x - intercept.
The y - intercept being: ( 0, -7 )
The x - intercept being: ( 1, 0 )
The equation of a line in slope - intercept form is:
y = mx + b, where m is the slope and b is the y - intercept.
We already have the y - intercept. So far we have:
y = mx - 7
What we're missing is the slope.
To find the slope, we can use this formula:
, where
and
are the x - coordinates of both points and
and
are the y - coordinates of both points.

We now have the missing piece, the slope, so the equation now is:

Answer:

Step-by-step explanation:
Given the system of equations:


In order to find the y coordinate of the solution we must first find the solution to this system of equations. We first start by solving one of the given equations and then substitute the answer of that into the second equation and further solve to get the final answers.




















Hope this helps.