Answer:
h = 4x ^ 3 + 18
Step-by-step explanation:
The first thing you should know for this case is that the area of a triangle is given by:
A = (1/2) * (b) * (h)
Where,
b: base.
h: height.
Clearing the height we have:
h = ((2) * (A)) / (b)
Substituting the values
h = ((2) * (14x ^ 5 + 63x ^ 2)) / (7x ^ 2)
Simplifying the expression:
h = ((2) * (2x ^ 3 + 9))
h = 4x ^ 3 + 18
answer
an expression to represent its height is
h = 4x ^ 3 + 18
No, because, using the Pythagorean Theorum:
6^2+8^2=9^2
36+64 IS NOT = TO 81
Answer:
r = √13
Step-by-step explanation:
Starting with x^2+y^2+6x-2y+3, group like terms, first x terms and then y terms: x^2 + 6x + y^2 -2y = 3. Please note that there has to be an " = " sign in this equation, and that I have taken the liberty of replacing " +3" with " = 3 ."
We need to "complete the square" of x^2 + 6x. I'll just jump in and do it: Take half of the coefficient of the x term and square it; add, and then subtract, this square from x^2 + 6x: x^2 + 6x + 3^2 - 3^2. Then do the same for y^2 - 2y: y^2 - 2y + 1^2 - 1^2.
Now re-write the perfect square x^2 + 6x + 9 by (x + 3)^2. Then we have x^2 + 6x + 9 - 9; also y^2 - 1y + 1 - 1. Making these replacements:
(x + 3)^2 - 9 + (y - 1)^2 -1 = 3. Move the constants -9 and -1 to the other side of the equation: (x + 3)^2 + (y - 1)^2 = 3 + 9 + 1 = 13
Then the original equation now looks like (x + 3)^2 + (y - 1)^2 = 13, and this 13 is the square of the radius, r: r^2 = 13, so that the radius is r = √13.
