Answer:
They are both the same triangle, with different dilations
Step-by-step explanation:
(I hope this is right, I wasn't quite sure of the context)
Answer:
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Answer:
Possible values of x are 50 < x < 110.
Step-by-step explanation:
Consider the perimeter of the field:
2x + 2(x + 30) < 500
2x + 2x + 60 < 500
4x < 440
x < 110.
Consider the area of the field:
x(x + 30 ) > 4000
x^2 + 30x - 4000 > 0
(x - 50)(x + 80) > 0
The critical values are x = -80 and 50.
As x is a width it must be positive so x > 50.
Answer:
B
Step-by-step explanation:
It'll be B because it says the rectangle has a length four times as its width
Using the Factor Theorem, the polynomial with zeros 3, 4i and -4i, and f(i) = -153 is given by:
f(x) = 4.5(x³ - 3x² + 16x - 48).
<h3>Factor Theorem</h3>
The Factor Theorem states that a polynomial function with zeros(also called roots)
is given by the following rule, given below.

In which a is the leading coefficient of the polynomial, determining if it is positive(a positive) or negative(a negative).
In the context of this problem, the roots are presented as follows:

Hence the polynomial is defined as follows:
f(x) = a(x - 3)(x - 4i)(x + 4i)
f(x) = a(x - 3)(x² + 16)
f(x) = a(x³ - 3x² + 16x - 48)
When x = 1, y = -153, hence the leading coefficient is calculated as follows:
-153 = a(1 - 3 + 16 - 48)
-34a = -153
34a = 153
a = 153/34
a = 4.5.
Hence the function is:
f(x) = 4.5(x³ - 3x² + 16x - 48).
More can be learned about the Factor Theorem at brainly.com/question/24380382
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