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Afina-wow [57]
3 years ago
5

A ladder leaning against the side of a building touches the building at a point 12 meters from the ground. If the foot of the la

dder is 18 meters from the base of the building, what is the slope of the ladder?
Mathematics
1 answer:
Goryan [66]3 years ago
6 0
I think the slope =21 m
i am not confirm if its not correct
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which shows one way to determine the factors of 12x^3 - 2x^2 + 18x - 3 by grouping? A) 2x^2(6x - 1) + 3(6x - 1) B) 2x^2(6x - 1)
Eva8 [605]

Answer:

2x^2(6x - 1) + 3(6x - 1)

Step-by-step explanation:

Given

12x^3 - 2x^2 + 18x - 3

Required

Factorize

To start with; we need to group the expression into two

(12x^3 - 2x^2) + (18x - 3)

Factorize each grouped expression, using their common factor

2x^2(6x - 1) + 3(6x - 1)

From the list of given options;

Option A is correct

4 0
3 years ago
Which piecewise function is shown in the graph?
mash [69]

Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right. is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different <em>linear</em> functions. <em>Linear</em> functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b     (1)

Where:

  • x - Independent variable.
  • y - Dependent variable.
  • m - Slope
  • b - Intercept

By direct observation and by applying (1) we have the following <em>piecewise</em> function:

f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.

Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right. is shown in the graph attached herein. (Correct choice: A)

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

3 0
2 years ago
Can anyone please help me and also we have to use laws of exponentS ​
Nookie1986 [14]

Answer:

(4^{4})^-1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
evaluate the expression 9(a 2b) c for a = –3, b = –2, and c = 1. i kept getting the answer of 10 but it's not one of my choices
den301095 [7]
What grade are u? I'm just asking cause the formulas are going with grade I could help if u want me too
7 0
3 years ago
A certain forest covers an area of 3900 km2 . suppose that each year this area decreases by 8% . what will the area be after 10
stiv31 [10]

<span><span>A = P(1-r)^t
</span><span>
A = 3900(1-0.08)^10

A = 3900(0.92)^10 </span></span><span><span>

A = 3900(0.434388454)

A = 1694.11

1694 square km</span></span>


3 0
3 years ago
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