Answer:
you can solve all your problems posted by this method ...
Step-by-step explanation:
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For the fourth term r = 3
Fourth term = 6C3(x)^(6 - 3) (4y)^3 = 20x^3 (64y^3) = 1,280x^3y^3
Radian: is the standard unit of angular measure, used in many areas of mathmatics.
degree: is a measuement of plane angle, defined by representing a full rotation as 360 degrees.
Both are two units for measuring angles. There are at least four such units, but degrees and radians are most likely to encounter high school and college.
Answer:
The slope of the other line is -4/5
Step-by-step explanation:
In this question, we are asked to calculate the slope of a line which is perpendicular to the line ;
10x - 8y = -80
The first thing to do here is to write the equation in the standard form for a linear equation.
The standard form is y = mx + c where m refers to the slope and c refers to the y-intercept
Rewriting the equation we have;
8y-80 = 10x
8y = 10x + 80
Now divide the through by 8
We have;
y = 10x/8 + 10
Thus, comparing with y = mx + c , our m here is 10/8
Now for the two lines to be perpendicular, the product of their slope would be equals to -1
Let’s say the slopes are m1 and m2
mathematically m1m2 = -1
since m1 = 10/8
10m2/8 = -1
m2 = -8/10
m2 = -4/5
Hello!

We can solve this system using substitution.
Since y = -3x + 5, we can substitute this into the following equation:
5x - 4(-3x + 5) = -3
Simplify:
5x - 4(-3x) - 4(5) = -3
5x + 12x - 20 = -3
Combine like terms:
17x - 20 = -3
Add 20 to both sides:
17x = 17
x = 1
Substitute to find y:
y = -3(1) + 5
y = -3 + 5
y = 2
Solution: (1, 2)