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ozzi
3 years ago
13

The vertices of a polygon are A(0,4), B(5,4), C(5,-3) and D(0,-3). Graph the vertices and connect them in order. What is the per

imeter of the polygon? Show work, please because my teacher will ask for it on a separate piece of paper. THANKS
Mathematics
1 answer:
Elodia [21]3 years ago
4 0
The perimeter of the shape is 24 units.

If you plot the shape, you will see that you have a rectangle. The length of the rectangle is 7 and the width is 5.

To find the perimeter, just add up the 4 sides.

7 + 7 + 5 + 5 = 24
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The measure of an angle is 44.6°. What is the measure of its complementary angle?
Leni [432]

The measure of the complementary angle to the angle 44.6° as given in the task content is; 45.4°.

<h3>What is the measure of the complementary angle as given in the task content?</h3>

It follows from the task content that the complementary angle to angle measure 44.6° be determined.

Unlike supplementary angles which add up to 180, complementary angles add up to 90°.

Hence, the required complementary angle is; 90°-44.6° = 45.4°.

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1 year ago
Solve the equation:<br><br> (x+3)(x-2)=0<br><br> Find the solution with the lowest value.
Ivenika [448]
(x+3)(x-2)=0
x+3=0 => x=-3
x-2=0 => x=2

<span>The solution with the lowest value is x=-3.
</span>
4 0
3 years ago
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4=x+9<br> Need help thanks
Brrunno [24]

Answer:

x = -5

Step-by-step explanation:

Original Equation:

4 = x + 9

Subtract 9 from both sides

-5 = x

So x = -5

Hope this helps :)

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8 0
3 years ago
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Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary
uysha [10]

Answer:

The equation of the regression line is: y=5.055 + 1.905 \cdot x

Step-by-step explanation:

We have the following data:

\begin{array}{c|cccccccccc}Productivity&23&25&28&21&21&25&26&30&34&36\\Dexterity&49&53&59&42&47&53&55&63&67&75\end{array}

We can use the Least Squares Regression to find the line of best fit for a set of paired data.

To find the line of best fit for <em>n</em> points:

Step 1: For each (x,y) point calculate x^2 and xy.

Step 2: Sum all x, y, x^2 and xy, which gives us Σx, Σy, \sum x^2 and Σxy.

Step 3: Calculate Slope b:

b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}

where <em>n</em> is the number of points.

Step 4: Calculate Intercept a:

a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}

Step 5: Assemble the equation of a line

y=a + b \cdot x

Following the above steps we get:

Step 1: Find x^2 and xy as it was done in the table

Step 2: Find the sum of every column:

\sum{X} = 269 ~,~ \sum{Y} = 563 ~,~ \sum{X \cdot Y} = 15596 ~,~ \sum{X^2} = 7473

Step 3: Use the following equations to find a and b:

a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 563 \cdot 7473 - 269 \cdot 15596}{ 10 \cdot 7473 - 269^2} \approx 5.055

b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 10 \cdot 15596 - 269 \cdot 563 }{ 10 \cdot 7473 - \left( 269 \right)^2} \approx 1.905\end{aligned}

Step 4: Assemble the equation of a line

y=5.055 + 1.905 \cdot x

The graph of the regression line is:

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3 years ago
Suppose that the function f ( x ) = 2x + 12 represents the cost to rent x movies amonth from an internet movie club. Makayla now
Dafna11 [192]
x=7\ \ \ \ \Rightarrow\ \ \ f(x)=2\cdot7+12=14+12=26\ [\$]\\\\\$26-\$10= \$16\\\\Ans.\ Makayla\ need\ \ \ \$16.
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3 years ago
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