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qaws [65]
2 years ago
10

Use the distributive property to write an equivalent expression. ​

Mathematics
1 answer:
expeople1 [14]2 years ago
4 0

Step-by-step explanation:

evaluate

0

factor$2200/month

0

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Identify an equation in slope intercept form for the line parallel to y= -2/3x+8 that passes through (4, -5)
Evgen [1.6K]

Answer:

3y = -2x -7

Step-by-step explanation:

The equation of the line;

     y = -\frac{2}{3}x + 8

Unknown:

Equation of the line passing through (4, -5);

Solution:

To solve this problem;

    the equation of a line is given as;

        y = mx + c

where x and y are the coordinate

           m is the slope

          c is the intercept

To solve this problem,

  The slope  -\frac{2}{3} if the same as that of the new line since they are parallel;

Equation of the new line;

    x  = 4 and y = -5

     -5 =  -\frac{2}{3} x 4 + c

      -5 = -\frac{8}{3} + c

       c  = -5 + \frac{8}{3}

       c = -\frac{7}{3}

So, the equation of the line is;

    y =  -\frac{2}{3}x - \frac{7}{3}

 or ;

     3y = -2x -7

7 0
3 years ago
Find A and B. Using the image above.
NeX [460]

Answer:

a = 7, b = \frac{7\sqrt{3} }{3}

Step-by-step explanation:

Using the sine ratio in the left right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} } , then

sin45° = \frac{opposite}{hypotenuse} = \frac{a}{7\sqrt{2} } = \frac{1}{\sqrt{2} } ( cross- multiply )

a × \sqrt{2} = 7\sqrt{2} ( divide both sides by \sqrt{2} )

a = 7

--------------------------------------------------------

Using the tangent ratio in the right triangle on the right and the exact value

tan60° = \sqrt{3} , then

tan60° = \frac{opposite}{adjacent} = \frac{a}{b} = \frac{7}{b} = \sqrt{3} ( multiply both sides by b )

b × \sqrt{3} = 7 ( divide both sides by \sqrt{3} )

b = \frac{7}{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } = \frac{7\sqrt{3} }{3}

7 0
2 years ago
Describe how k affects the graph of the function f(x)= -3/5(10)^x
Shalnov [3]

Answer:

1437.33

Step-by-step explanation:

8 0
2 years ago
Jacob's little brother thinks that he could design a better lion enclosure than the one he sees at the zoo. He makes a drawing o
abruzzese [7]

Answer:

Step-by-step explanation:

<u><em>Length</em></u>

1 inch = 25 feet

7 1/4 inches = x feet

1 * x = 25 * 7 1/4

x = 25 * 7.25

Length = 181.25 feet

The length is 181.25

<em><u>hypotenuse length</u></em>

The diagonal = 10 1/2 inches

The diagonal = 10.5 inches

hypotenuse = 10.5 * 25 = 262.5 feet

<em><u>Width</u></em>

L^2 + W^2 = Diagonal^2

181.25² + W² = 262.5²

32851.5625 + W²  =  68906.25   Subtract 32851.5625 from both sides

W² =  68906.25 - 32851.5625

W^2 = 36054.6875                       Take the square root of both sides

W = 189.88

<u><em>Area</em></u>

Area = L * W

Area = 181.25 * 189.88

Area = 34415.88 square feet.

3 0
3 years ago
Which ordered pair is the best estimate for the solution to the system
Vera_Pavlovna [14]

Answer:

The best estimate of the solution ordered pair from the graph is (\frac{1}{2},0).

Step-by-step explanation:

See the attached graph to this question.

The graph of two straight lines are shown in the graph.

Now, the two straight lines intersect on the x-axis, so the solution ordered pairs should have y-value equals to zero.

But, there are two ordered pairs with y-value zero and they are (\frac{1}{2},0) and (\frac{1}{3},0).

The best estimate of the solution ordered pairs from the graph is (\frac{1}{2},0).

So, this is the solution. (Answer)

7 0
2 years ago
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