<u>Answer:</u>
The line equation that passes through the given points is 7x – y = 13
<u>Explanation:</u>
Given:
Two points are A(2, 1) and B(3, 8).
To find:
The line equation that passes through the given two points.
Solution:
We know that, general equation of a line passing through two points (x1, y1), (x2, y2) in point slope form is given by
..........(1)
here, in our problem x1 = 3, y1 = 8, x2 = 2 and y2 = 1.
Now substitute the values in (1)
y – 8 = 7(x – 3)
y – 8 = 7x – 21
7x – y = 21 – 8
7x – y = 13
Hence, the line equation that passes through the given points is 7x – y = 13
Answer:
-cos^4(x)
Step-by-step explanation:
Step 1: Use the Pythagorean identity : 1=cos^2(x) + sin^2(x)
1-sin^2(x) = cos^2(x)
-1+sin^2(x) = -cos^2(x)
cos^2(x) (-cos^2(x))
Step 2: Factor out common terms cos^2(x)
cos^2(x) (sin^2(x)-1)
Ans: -cos^4(x)
Answer:
you have an odd number, divide by 2 and round up to get the position of the median number.
Step-by-step explanation:
you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Answer:
6
Step-by-step explanation:
The radius of a circle does not change with direction, it stays constant. This, the radius of the bigger circle is 4, and of the smaller circle is 2. Thus, OP equals 4 + 2 = 6. You're correct! :)
Solve for x
so assuming that the fractions are
(9/4)-(1/*2x))=4/x then
get all x on one side
add 1/(2x) to both sides
9/4=(4/x)+(1/(2x))
make common denomators with x and 2x
common denomenator is 2x
4/x times 2/2=8/(2x)
9/4=8/(2x)+1/(2x)
add
9/4=9/(2x)
make common denomators with 4 and 2x
common denomator is 4x
9/4 times x/x=9x/(4x)
9/(2x) times 2/2=18/(4x)
9x/(4x)=18/(4x)
multiply both sides by 4x to clear fraction
9x=18
divide both sides by 9
x=2
