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9966 [12]
3 years ago
15

What is the slope of the line shown​

Mathematics
2 answers:
katovenus [111]3 years ago
7 0

Answer:

-1/2

Step-by-step explanation:

Pick two points on the line

(-2,3) and (2,1)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (1-3)/(2 - -2)

   = (1-3)/(2+2)

    = -2/4

   = -1/2

EastWind [94]3 years ago
7 0

Answer:

\displaystyle m = \frac{-1}{2}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Reading a coordinate plane
  • Coordinate (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify points from graph</em>

Point (0, 2)

Point (4, 0)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{0-2}{4-0}
  2. [Fraction] Subtract:                                                                                           \displaystyle m = \frac{-2}{4}
  3. [Fraction] Simplify:                                                                                            \displaystyle m = \frac{-1}{2}
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3/5×2/7×2/3<br> Please fallow
olga55 [171]

Answer:

\frac{12}{105}

Step-by-step explanation:

\frac{3}{5}x\frac{2}{7}x\frac{2}{3}

3x2x2=12

5x7x3=105

\frac{12}{105}

6 0
3 years ago
In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest<br> inch.
dalvyx [7]

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

m\angle G+m\angle H+m\angle I=180^\circ

30^\circ+29^\circ+m\angle I=180^\circ

59^\circ+m\angle I=180^\circ

m\angle I=180^\circ-59^\circ

m\angle I=121^\circ

According to Law of sines,

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Using Law of sines, we get

\dfrac{h}{\sin H}=\dfrac{i}{\sin I}

\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}

\dfrac{300}{0.4848}=\dfrac{i}{0.8572}

Multiply both sides by 0.8572.

\dfrac{300}{0.4848}\times 0.8572=i

530.44554=i

i\approx 530

Therefore, the length of i is about 530 inches.

6 0
3 years ago
The lines graphed below are perpendicular. The slope of the red line is -2.
ASHA 777 [7]

Answer:

1/2

Step-by-step explanation:

opposite reciprocal

4 0
3 years ago
Howard has a garden in the shape of a rectangle. The length is 5.4 meters and the width is 1.5 meters. Howard will increase both
Alla [95]
Please find the attachment below for the solution...

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4 years ago
1. The position of a particle moving along a coordinate axis is given by: s(t) = t^2 - 5t + 1. a) Find the speed of the particle
zimovet [89]

Answer: \left |  2t-5\right |,\ 2,\ 2t-5

Step-by-step explanation:

Given

Position of the particle moving along the coordinate axis is given by

s(t)=t^2-5t+1

Speed of the particle is given by

\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=\left |  2t-5\right |

Acceleration of the particle is

\Rightarrow a=\dfrac{dv}{dt}\\\\\Rightarrow a=2

velocity can be negative, but speed cannot

\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=2t-5

3 0
3 years ago
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