Answer:
Hence as long as x > 2/3, we can form a triangle from the three given sides.
Step-by-step explanation:
Given:
Length of 3 sides of triangle are
Solution:
From the length of the 2nd side 4x, we know that x > 0
Let this be 1 st statement.
Now from the triangle inequality we can say that;
No new information from this because of the 1st statement above.
Also,
Lastly,
and again no new information is obtained from this inequality.
Hence as long as x > 2/3, we can form a triangle from the three given sides.
Let the rational number be.
If we divide this rational number by a factor k, then it becomes .
We need to find 'k'.
Now, twice the opposite of the given rational number is
By the given information,
xy = -2kxy
-2k = 1
Hence, we should divide the given rational number by .
Answer:
1.
2. undefined
3. .
4. .
5. .
6.
Step-by-step explanation:
1. The required line passes through . The slope of the line joining the points is given by the formula,
or
Either of them yields the same result.
Substitute into the first formula to get,
You can write this as a mixed number to obtain:
2. The given line passes through .
Observe that the first coordinates are the same for both points. This implies that, the line is vertical.
The slope of all vertical lines are undefined.
3. The average rate of change of the function on the interval is given by:
.
The given function is
.
.
4. The given function is
.
.
5. From the graph
.
.
.
6. The given equation is :
Add to both sides.
Divide through by 2.
Compare this function to
The slope is
5 / 3 is improper fraction.
To change it into mixed fraction you have to divide 5 by 3.
i.e. 1 is the quotient, 3 is the divisor, 5 is the dividend, and 2 is the reminder.
To write it in the mixed fraction you will only need the quotient, remainder and divisor.
First you will write quotient in the middle then the remainder divided by divisor
i.e. 1 2/3 where 1 is quotient, 2 is remainder and 3 is divisor.