Answer:
y=3/2(x) -1, or y = 1.5x - 1
Step-by-step explanation:
To write the equation in slope-intercept form, you have to determine the y-intercept for the line. Since you have the slope and at least one ordered pair, you can find this by substituting the points and slope into this formula:
y=mx+b.
For this particular line, you would write:
-8 = 3/2(-6)+b
-8 = -18/2 + b
-8 = -9 + b
add 9 to both sides to isolate the b
-1 = b.
Now that you have the answer for b (-1), you can write the equation as:
y=3/2(x) -1
Answer:
The length of the rectangle is;
5x(x+13)/(x-5)
Step-by-step explanation:
Mathematically, we know that the area of a rectangle is the product of the length and width of the triangle
To find the length of the rectangle, we will have to divide the area by the width
we have this as;
(x^2 + 15x + 26)/6x^2 divided by (x^2-3x-10)/30x^3
thus, we have ;
(x^2 + 15x + 26)/6x^2 * 30x^3/(x^2-3x-10)
= (x^2+15x+ 26)/(x^2-3x-10) * 5x
But;
(x^2 + 15x + 26) = (x+ 2)(x+ 13)
(x^2-3x-10) = (x+2)(x-5)
Substituting the linear products in place of the trinomials, we have;
(x+2)(x+13)/(x+2)(x-5) * 5x
= 5x(x+13)/(x-5)
-k-(-8k)
= -k + 8k (two negatives equal one positive)
= 8k-k (flip it around because of the commutative property)
=7k (basic subtraction)
I really hope that helped :)
Pythagorean Theorem A2+B2=C2
625=25+C2
600=C2
Square root of 2 each side
10 Square root of 6 Or 24.494897
Volume = area of base x perpendicular distance
= 600 x 24 = 14,400 cubic units
