Answer:
Let's define all the possible forms:
slope-intercept: y = a*x + b
point-slope: y - y1 = a*(x - x1) (where (x1, y1) is a point in the line)
standard form: a*x + b*y = c
then:
a) 7x + 5y = 8
This is in standard form.
b) y − 5 = 3*(x − 9)
This is in point slope form.
c) y = 7x + 9
This is in slope-intercept form.
d) 8x − 9y = −2
This is in standard form.
Allison is a beautiful young woman with a small home in Arkansas and she lives there with her husband Robert and daughter Lindsay who both like to go out fishing during the summer in Wisconsin where Robert's parents, Carrie and Mitch live near a sparkling, blue lake.
The side of the square = 16 in
When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle.
So, the diameter of the circle is equal to 16 in => radius = 8 in
Circumference = 2πr = 2π8 = 16π = 50.24
Answer:
≈ 39.7ft
Step-by-step explanation:
The Pythagorean theorem:
(a and b are the two shorter legs and c is the largest leg, which is also the opposite side of the right angle)
First, the value of a and c is given. So, we can go ahead and plug those value in and then solve for b.
To find b, we have to get it by itself. So we subtract 2025 from both sides then square root both sides. Resulting in:
≈ 39.7ft
The answer you are looking for is x=-2.
Solution/Explanation:
Writing out the equation
3[-x+(2x+1)]=x-1
Simplifying inside of the brackets first
Combining like terms, since -x+2x=x
3(x+1)=x-1
*You can remove the parenthesis, if preferred.
Using the Distributive Property on the left side of the equation
3x+3=x-1
Now, subtracting the "x" variable from both sides
3x+3-x=x-x-1
"x-x" cancels out to 0.
3x+3-x=-1
Combining like terms and simplifying
3x-x+3=-1
2x+3=-1
Subtracting 3 from both sides of the equation
2x+3-3=-1-3
"3-3" cancels out to zero.
2x+0=-1-3
2x=-1-3
Simplifying the right side of the equation
2x=-4
Finally, dividing both sides by 2
2x/2=-4/2
Simplifying the final part of the problem
Since 2x/2=x and -4/2=-2
x=-2
So, therefore, the final answer is x=-2.
Hope that this has helped you. Good day to you.
