Paralelll ines have same slope
in form
ax+by=c
slope=-a/b
point slope form
the equtaiotn of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
so
find slope
24x+8y=7
slope=-24/8=-3
a point is (-5,-8)
m=-3
y-(-8)=-3(x-(-5))
y+8=-3(x+5)
y+8=-3x-15
y=-3x-23
Its a right angled triangle. You have C and have B all you need to find is A. usually for a question like this you would use the Pythagorean theorem which is A2+B2=C2 but since we already have c we will use C2-B2=A2
Now we fill in the values. (21)2-(9)2=A2
441-81=360^2 so now with the 360^2 we have to squareroot it so the square root of 360 is 18.973f
Answer:
-4/3
Step-by-step explanation:
you do change in y over change in x which is -1-3 over -3-(-6)
when you do the calculations you get -4/3
Answer:
x² + 2x + (3 / (x − 1))
Step-by-step explanation:
Start by setting up the division:
.........____________
x − 1 | x³ + x² − 2x + 3
Start with the first term, x³. Divided by x, that's x². So:
.........____x²______
x − 1 | x³ + x² − 2x + 3
Multiply x − 1 by x², subtract the result, and drop down the next term:
.........____x²______
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
Repeat the process over again. First term is 2x². Divided by x is 2x. So:
.........____x² + 2x __
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
Multiply, subtract the result, and drop down the next term:
.........____x² + 2x __
x − 1 | x³ + x² − 2x + 3
.........-(x³ − x²)
...........----------
...................2x² − 2x
.................-(2x² − 2x)
.................---------------
.....................................3
x doesn't divide into 3, so that's the remainder.
Therefore, the answer is:
x² + 2x + (3 / (x − 1))
Answer:
8
Step-by-step explanation:
Let x be the unknown number.
Then the equation is
x + 5*(x+2) = 4x + 26.
Solve it:
x + 5x + 10 = 4x + 26.
6x - 4x = 26 - 10,
2x = 16,
x = 16%2F2 = 8.
