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JulijaS [17]
3 years ago
11

Draw a line representing the rise and a line representing the run of the line. State the slope in the simplest form

Mathematics
1 answer:
USPshnik [31]3 years ago
6 0

Answer:

m=\frac{2}{3}

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>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (1, -5)

Point (7, -1)

<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 [SF]:                    m=\frac{-1+5}{7-1}
  2. Add/Subtract:                      m=\frac{4}{6}
  3. Simplify:                               m=\frac{2}{3}
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Answer:

D 17 1/4

Step-by-step explanation:

3 0
3 years ago
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In parallelogram ABCD, AD = 12 in, m∠C = 46º, m∠DBA = 72º. Find the area of ABCD
dmitriy555 [2]

Answer:

The area of   parallelogram ABCD  is78.42 \mathrm{in}^{2}

Explanation:

Given:

AD = 12 in

m \angle C=46^{\circ}

m \angle D B A=72^{\circ}

To Find:

The area of   parallelogram ABCD=?  

Solution:

When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.  

The area of the parallelogram can be calculated by a b * \sin (a n g l e)

Substituting the value of a=12  we have

\text { Area of parallelogram }=12 * \text { bsin } 46

<u>To find  the value of b, </u>

We know that area of a triangle can be expressed as,

\text { Area of triangle }=(A b / 2) \sin (\text {angle})

So,

(12 * B D / 2) * \sin 46=(A B * B D / 2) * \sin 72

Cancelling BD and 2 on both sides we get,  

12 * \sin 46=A B * \sin 72

A B=12 * \frac{\sin 46}{\sin 72}

Therefore,

b=\frac{12 \sin 46}{\sin 72}

Substituting the value of b,

=12 *\left(\frac{12 \sin 46}{\sin 72}\right) * \sin 46

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6 0
3 years ago
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Simplify.
pantera1 [17]
-12 + 9 - (-3) - 11

Remember PEMDAS: This is the order of operation.
P-Paragrahp
E-Exponent
M-Multiply
D-Divide
A-Add
S-Subtract

1st step: PEM
-(-3) is actually -1 * -3 = + 3

-12 + 9 + 3 - 11

2nd step: D is not possible, so we do A.
9 + 3 = 12

3rd Step: Subtract
12 - 12 - 11 = 0 - 11 = -11 CHOICE B. 

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3 years ago
Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1). 2 8 10 4
Klio2033 [76]
Hello!

You can solve this by plugging 1 into g(x) and plugging the result into h(x).

g(x) = 2x
g(1) = 2(1)
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Answer:
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How can you represent a relationship between two quantities?
Murrr4er [49]
By the graph of a straight line through the origin with a slope equal to the unit rate
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