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ollegr [7]
2 years ago
9

A 20-foot ladder is leaning against a building. The ladder forms an angle of 55" with the ground.

Mathematics
1 answer:
grigory [225]2 years ago
7 0
10 feet away from base
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I got disconnected from my tutor, can't reconnect. need an explanation ​
kherson [118]

The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.

|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x

For the equation

-3 + 4 |2<em>x</em> - 5| = 14

rearrange terms to get

|2<em>x</em> - 5| = 17/4

Now,

• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then

2<em>x</em> - 5 = 17/4

• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that

-(2<em>x</em> - 5) = 17/4, or

2<em>x</em> - 5 = -17/4

In the first case,

2<em>x</em> - 5 = 17/4

2<em>x</em> = 17/4 + 5 = 37/4

<em>x</em> = 37/8

In the second case,

2<em>x</em> - 5 = -17/4

2<em>x</em> = -17/4 + 5 = 3/4

<em>x</em> = 3/8

5 0
2 years ago
Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Third-degree, with zeros of −3
RSB [31]

Answer:

\Large \boxed{-\dfrac{5}{4}(x+3)(x+1)(x-2)}

Step-by-step explanation:

Hello,

Based on the indication, we can write this polynomial as below, k being a real number that we will have to identify (degree = 3 and we have three zeroes -3, -1, and 2).

   \Large \boxed{k(x+3)(x+1)(x-2)}

We know that the point (1,10) is on the graph of this function, so we can say.

k(1+3)(1+1)(1-2)=10}\\\\4*2*(-1)*k=10\\\\-8k=10\\\\k=\dfrac{10}{-8}=-\dfrac{5}{4}

Then the solution is:

\large \boxed{-\dfrac{5}{4}(x+3)(x+1)(x-2)}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0
3 years ago
HELP
andreev551 [17]

Answer:

A. y = 80x

B. g(x) = 80x

C. To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.

Step-by-step explanation:

Part A:  

To write an equation, use y= mx where m is the slope, x is the number of days, and y is the rent cost.

x and y remain the same in the equation.

To find m, use the slope formula with (5,465) and (7, 625).

m=\frac{y_2-y_1}{x_2-x_1}= \frac{625-465}{7-5} =\frac{160}{2} =80

It costs $80 a day.

The equation is y = 80x.

Part B:  

Function notation replaces Y as g(x). So the equation is g(x) = 80x.

Part C:

To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.


6 0
3 years ago
PLZ HELP FAST <br><br> If you spend $3 on 6b apples, what is the unit rate (in dollars) per apple?
Ierofanga [76]

Answer:.

.50

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I am trying to understand how to solve for X, then solve the equation
Alina [70]

Answer:

x = 16

m<Y = 34°

Step-by-step explanation:

∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:

<X = <Z

(6x - 23)° = (4x + 9)

Solve for x

6x - 23 = 4x + 9

Collect like terms

6x - 4x = 23 + 9

2x = 32

Divide both sides by 2

x = 16

m<Y = 180° - (m<X + m<Z) (sum of ∆)

m<Y = 180 - ((6x - 23) + (4x + 9))

Plug in the value of x

m<Y = 180 - ((6(16) - 23) + (4(16) + 9))

m<Y = 180 - (73 + 73)

m<Y = 34°

5 0
3 years ago
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