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3 years ago

Find the slope of the point, and reduce the lowest terms (7,3)(9,3)

1 answer:

6 0

A point doesn't have a slope. A line has. You need to find the slope of the line that these 2 points are on. The slope is

(the difference of the 'y' values) divided by (the difference of the 'x' values)

That appears to be zero. It's a horizontal line.

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Find the cotangent of angle B. <br> 1. 12/5<br> 2. 12/13<br> 3. 13/12<br> 4. 5/12

labwork [276]

Cot = Cos/Sin

Cos = 12/13
Sin = 5/13

Therefore, 12/3 divided by 5/13 equals 12/5

Answer is 1.

3 0

3 years ago

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Complete the remainder of the

allsm [11]

The corresponding values needed will be -23, -8, 7 and 22

<h3>Functions and Tables</h3>

Given the function y = 5x - 8

<h3>Get the domains and range</h3>

We are to get the range of the function for the given domains

If the value of x is -3

y = 5(-3) - 8

y = -15 - 8

y = -23

If the value of x is 0

y = 5(0) - 8

y = 0 - 8

y = -8

If the value of x is 3

y = 5(3) - 8

y = 15 - 8

y = 7

If the value of x is 6

y = 5(6) - 8

y = 30 - 8

y = 22

Hence the corresponding values needed will be -23, -8, 7 and 22

Learn more on tables of function here: brainly.com/question/3632175

4 0

2 years ago

A rectangular parking lot has an area of 15,000 feet squared, the length is 20 feet more than the width. Find the dimensions

faust18 [17]

Dimension of rectangular parking lot is width = 112.882 feet and length = 132.882 feet

<h3><u>Solution:</u></h3>

Given that

Area of rectangular parking lot = 15000 square feet

Length is 20 feet more than the width.

Need to find the dimensions of rectangular parking lot.

Let assume width of the rectangular parking lot in feet be represented by variable "x"

As Length is 20 feet more than the width,

so length of rectangular parking plot = 20 + width of the rectangular parking plot

=> length of rectangular parking plot = 20 + x = x + 20

<em><u>The area of rectangle is given as:</u></em>

$\text {Area of rectangle }=length \times width$

Area of rectangular parking lot = length of rectangular parking plot $\times$ width of the rectangular parking

$\begin{array}{l}{=(x+20) \times (x)} \\\\ {\Rightarrow \text { Area of rectangular parking lot }=x^{2}+20 x}\end{array}$

But it is given that Area of rectangular parking lot = 15000 square feet

$\begin{array}{l}{=>x^{2}+20 x=15000} \\\\ {=>x^{2}+20 x-15000=0}\end{array}$

Solving the above quadratic equation using quadratic formula

<em><u>General form of quadratic equation is </u></em>

${ax^{2}+\mathrm{b} x+\mathrm{c}=0$

And quadratic formula for getting roots of quadratic equation is

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In our case b = 20, a = 1 and c = -15000

Calculating roots of the equation we get

$\begin{array}{l}{x=\frac{-(20) \pm \sqrt{(20)^{2}-4(1)(-15000)}}{2 \times 1}} \\\\ {x=\frac{-(20) \pm \sqrt{400+60000}}{2 \times 1}} \\\\ {x=\frac{-(20) \pm \sqrt{60400}}{2}} \\\\ {x=\frac{-(20) \pm 245.764}{2 \times 1}}\end{array}$

$\begin{array}{l}{=>x=\frac{-(20)+245.764}{2 \times 1} \text { or } x=\frac{-(20)-245.764}{2 \times 1}} \\\\ {=>x=\frac{225.764}{2} \text { or } x=\frac{-265.764}{2}} \\\\ {=>x=112.882 \text { or } x=-132.882}\end{array}$

As variable x represents width of the rectangular parking lot, it cannot be negative.

=> Width of the rectangular parking lot "x" = 112.882 feet

=> Length of the rectangular parking lot = x + 20 = 112.882 + 20 = 132.882

Hence can conclude that dimension of rectangular parking lot is width = 112.882 feet and length = 132.882 feet.

3 0

3 years ago

The length of a rectangular computer chip is 22 x 10 cm and the width is 7 x 104 cm. Explain how to

mash [69]

Answer:

area = 160160 inches²

area = 1.6016 × 10⁵ inches²

Step-by-step explanation:

The length of the rectangular computer chip is 22 × 10 cm and the width is 7 × 104 cm .

The area of the rectangular computer chip is the product of the length and the width.

area = length × width

area = (22 × 10) × (7 × 104)

area = 220 × 728

area = 160160 inches²

In scientific notation

area = 1.6016 × 10⁵ inches²

160160 is written as 1.6016 × 10⁵ because 1.60160 × 100000 = 1.6016 × 10⁵

7 0

3 years ago

What is the factored form of x2 – X–2?

kotykmax [81]

Answer:

${x}^{2} - x - 2 \\ {x}^{2} - 2x + 1 x- 2 \\ {x}^{2} + 1x - 2 x- 2 \\ x(x + 1) - 2(x + 1) \\ = (x + 1)(x - 2)$

4 0

3 years ago

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