Answer:
36 cm
Step-by-step explanation:
Let x represent the multiplier of the ratio units. Then the perimeter is the sum of the side lengths:
77 = 25 + 4x +9x
52 = 13x . . . . . . . . subtract 25
x = 4 . . . . . . . . . divide by 13
4x = 4(4) = 16 . . . . find the other side lengths
9x = 9(4) = 36
The side lengths are 25 cm, 16 cm, 36 cm. The longest side is 36 cm.
Answer:
triangle on the left: 6 sq ft. triangle on the right: 28 sq ft. rectangle: 128. altogether, 162 sq ft. the trapezoid is about 61.6.
Step-by-step explanation:
for the rectangle the formula is bxh (base x height). for a triangle, it is bxh/2, or base times height divided by 2. for a trapezoid, it is b1+b2 x h / 2, or base 1 (bottom) plus base 2 (top) times height, take all of that and divide by 2.
I'll help with a few.
3. -3x^3 - 9x^2 + 3x
Solve:
= (-3x)(x^2 + 3x + -1)
= (-3x)(x^2)+(-3x)(3x)+(-3x)(-1)
= -3x^3 - 9x^2 + 3x
7. (m - 2) (m + 11)
8. (t - 2) (5t + 9)
9. (5x + 3) (5x - 3)
10. (3t + 2)^2
The zeros of a function f(x) are the values of x that cause f(x) to be equal to zero
One of methods to find the zeros of polynomial functions is The Factor Theorem
It is used to analyze polynomial equations. By it we can know that there is a relation between factors and zeros.
let: f(x)=(x−c)q(x)+r(x)
If c is one of the zeros of the function , then the remainder r(x) = f(c) =0
and f(x)=(x−c)q(x)+0 or f(x)=(x−c)q(x)
Notice, written in this form, x – c is a factor of f(x)
the conclusion is: if c is one of the zeros of the function of f(x),
then x−c is a factor of f(x)
And vice versa , if (x−c) is a factor of f(x), then the remainder of the Division Algorithm f(x)=(x−c)q(x)+r(x) is 0. This tells us that c is a zero for the function.
So, we can use the Factor Theorem to completely factor a polynomial of degree n into the product of n factors. Once the polynomial has been completely factored, we can easily determine the zeros of the polynomial.
