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Yuliya22 [10]
2 years ago
11

Find the slope using the following points: (20,-10)(6,-20)

Mathematics
1 answer:
vagabundo [1.1K]2 years ago
7 0

   \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

    <em>Find the slope using the following points:</em>

<em>         (20, -10) (6, -20)</em>

<em />

<em />\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}

Use the slope formula:-

                    \LARGE\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}

Replace letters with numbers as follows:-

                             \Large\text{$\displaystyle\frac{-20-(-10)}{6-20}$}

On simplification,

                                  \Large\text{$\displaystyle\frac{-20+10}{-14}$}

On further simplification,

                                        \Large\text{$\displaystyle\frac{-10}{-14}$}

Reducing the fraction,

                               \large\text{$\displaystyle\frac{10}{14}$}

               \large\text{$\displaystyle\frac{5}{7}$}\leftarrow\:slope

<h3>Good luck with your studies.</h3>

\rule{300}{1}

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The area of a rectangle is 168 square feet. The ratio of the width to the length is
nlexa [21]

Answer:

Width = 12 feet

Step-by-step explanation:

Given that,

Area of a rectangle is 168 square feet.

The ratio of the width to the length is  6:7.

Let the length is 7x and width is 6x.

According to question,

Area = 168 sq feet

l×b=168 sq feet

7x × 6x = 168

42x² = 168

x² = 4

x = 2

Length = 7x = 7(2) = 14 feet

Breadth = 6x = 6(2) = 12 feet

So, the width of the rectangle us 12 feet.

5 0
2 years ago
Where are the asymptotes of f(x) = tan(4x − π) from x = 0 to x = pi over 2 ?
vladimir1956 [14]
tan(4x- \pi )= \frac{sin(4x- \pi )}{cos(4x- \pi )}

The asymptotes are where the graph is undefined. Since: tan(x) =sin(x)/cos(x)
It is where cos(4x-π) = 0

cos(4x-π) = 0 when the inside is -π/2 , π/2 , 3π/2

4x - π = π/2
4x = π/2 + π
4x = 3π/2
x = 3π/8

4x - π = 3π/2
4x = 3π/2 + π
4x = 5π/2
x = 5π/8
This ones outside the interval (5π/8 > π/2) , try -π/2

4x - π = -π/2
4x = -π/2 + π
4x = π/2
x = π/8

Asymptotes are π/8 and 3π/8




4 0
3 years ago
Ozzie's Mother bought an assortment of greeting cards while she was at the bookstore. She bought twice as many birthday cards as
slava [35]

Answer:

20

Step-by-step explanation:

2 get well cards

4 anniversary cards

6 greeting cards

8 birthday cards

8 0
2 years ago
Calculating area of rectangle
PSYCHO15rus [73]

Answer:

Area = 216.108cm^2 --- You

Area = 216.940cm^2 --- Another student

Reason: Because there is a variation in the given dimensions

Step-by-step explanation:

Given

Your measurement

Length = 20.70cm; Width =10.44cm

Another students'

Length = 20.74cm; Width =10.46cm

Solving (a): The area

Area is calculated as:

Area = Length * Width

For you

Area = 20.70cm * 10.44cm

Area = 216.108cm^2

For the other student

Area = 20.74cm * 10.46cm

Area = 216.940cm^2

Solving (b): Reason for the variation in the areas

The given measurements are estimates of the dimensions of the rectangle.

Since there is a variation in the estimates, there will be some level of variation in the calculated area.

4 0
3 years ago
Polynomial function in standard form with zeros 5,-4,1
Oksanka [162]

Answer:

\boxed{\sf \ \ \  x^3-2x^2-19x+20 \ \ \  }

Step-by-step explanation:

hello,

by definition we can write

(x-5)(x+4)(x-1)

as 5,-4,1 are the zeroes

now we have to write it in the standard form, let's do it

(x-5)(x+4)(x-1)=(x^2+4x-5x-20)(x-1)\\=(x^2-x-20)(x-1)=x^3-x^2-20x-x^2+x+20\\=x^3-2x^2-19x+20

hope this helps

5 0
3 years ago
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