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Ganezh [65]
2 years ago
11

What is the area of this polygon? Enter your answer in the box. units? ​

Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
6 0

Answer:

45units^2

Step-by-step explanation:

Break the polygon into two shapes. A rectangle and a triangle.

The area formula for a rectangle is A=L•W or

Area = Length x Width. Counting the units for length and width is 9 x 2. Which would equal 18units.

Now for the triangle, the formula is A=1/2 (b•h)

The base is 9 and Height is 6.

9 • 6 = 54

Since a triangle is half the area of a rectangle you divide 54 by 2. Area for triangle is 27.

Now add the rectangle area and triangle area.

18+27=45

Area=45 units ^2

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Answer:

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Suzie paid a total of $324 dollar sign, 324 for x tickets to a rock festival.
MA_775_DIABLO [31]

Find the ticket unit cost:  divide the total paid, $324, by the number of tickets, x.  Then the form of the unit cost is

$324

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This question is highly unusual in that you write "x" as the number of tickets sold, instead of a specific number of tickets.  Supposing that you'd sold 100 tickets for $324, then the unit cost would be, much more typically, a numeric ratio:

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3 years ago
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Solve the inequality for x. –4x + 6 < 50
natulia [17]

Answer:

x > -11  

Step-by-step explanation:  

<u>Step 1:  Subtract 6 from both sides</u>  

-4x + 6 - 6 < 50 - 6  

-4x < 44

<u>Step 2:  Divide both sides by -4</u>  

-4x / -4 < 44 / -4

If you divide by a negative number, you flip the sign.  

<em>x > -11</em>

 

Answer: x > -11

7 0
2 years ago
Write an equation in point-slope form of the line that passes through (-4,1) and (4,3).
Step2247 [10]

Answer:

An equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

y-1=\frac{1}{4}\left(x+4\right)

Step-by-step explanation:

Given the points

  • (-4,1)
  • (4,3)

Finding the slope between the points (-4,1) and (4,3)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-4,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:3\right)

m=\frac{3-1}{4-\left(-4\right)}

Refine

m=\frac{1}{4}

Point slope form:

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

in our case,

  • m = 1/4
  • (x₁, y₁) = (-4,1)

substituting the values m = 1/4 and the point (-4,1) in the point slope form of line equation.

y-y_1=m\left(x-x_1\right)

y-1=\frac{1}{4}\left(x-\left(-4\right)\right)

y-1=\frac{1}{4}\left(x+4\right)

Thus, an equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

y-1=\frac{1}{4}\left(x+4\right)

5 0
3 years ago
two verticies of paralellogram ABCD are A(-6,-1) and B(-5,3). The intersection of the diagonals, E, are (-2, 1/2). Determine the
masya89 [10]

Answer:

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Therefore E is the midpoint of AD.

Let the coordinates of D be (a,b).

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( \frac{ - 6+a}{2} =  - 2 ,\frac{ - 1+b}{2} =  \frac{1}{2} )

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7 0
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