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ra1l [238]
3 years ago
13

11. The total area of a quilt is defined as the equation: A = x² + 13x + 36. Find the possible side

Mathematics
1 answer:
Luda [366]3 years ago
3 0

Answer:

(x + 9)(x4)

Step-by-step explanation:

A =  {x}^{2}  + 13x + 36 \\  \\  =  {x}^{2}  + 9x + 4x + 36 \\  \\  = x(x + 9) + 4(x + 9) \\  \\  = (x + 9)(x+4)

So, the possible side

lengths of the quilt are (x + 9) and (x + 4) units.

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A motorcycle can travel 15 miles on 3/8 of a gallon of gasoline. Find the unit rate in miles per gallon
yaroslaw [1]

Answer:

40 mpg

Step-by-step explanation:

To find the unit rate which is 1/8 we just divide 15 by 3 which is 5 and to find the mpg of the full gallon now that we have the unit rate we just multiply the 1/8 or 5 miles by 8 which would give us 8/8 or 40 miles.

3 0
3 years ago
Read 2 more answers
Which function , A or B has a greater rate of change ? Be sure to include the values for the rates of change in your answer . Ex
arsen [322]
<h2>Answer:</h2>

A rate of change tells us  how one quantity changes in relation to another quantity. In a mathematical language, we can write this as follows:

Rate \ of \ Change=\frac{Change \ in \ y}{Change \ in \ x}

For linear functions. the rate of change is the slope of the line. Thus:

FOR THE TABLE:

By taking two points we can get the rate of change, so let's take (1,5) \ and \ (2,7):

ROC=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ ROC=\frac{7-5}{2-1} \\ \\ ROC=\frac{2}{1} \\ \\ \boxed{ROC=2}

FOR THE GRAPH:

Let's take (1,1) \ and \ (2,4):

ROC=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ ROC=\frac{4-1}{2-1} \\ \\ ROC=\frac{3}{1} \\ \\ \boxed{ROC=3}

As you can see, 3>2 so <em>the ROC of the function given by the graph is greater than the ROC of the function given by the table.</em>

3 0
4 years ago
$4800 is 60% of what number?
Allushta [10]

Answer:

8000

Step-by-step explanation:

3 0
3 years ago
Which points can be connected to draw a line of symmetry through this figure?
Alex Ar [27]

The symmetry line is passing through points F and E. Then the correct option is B.

<h3>What is reflectional symmetry?</h3>

Consider a plane. Consider a design or shape on that plane. Now consider an axis.

If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly like the shape itself, then that shape is called to have reflectional symmetry.

Then the symmetry line is passing through points F and E. Because F and E are the mid-points of AD and BC.

Learn more about symmetry here:

brainly.com/question/7783612

#SPJ1

5 0
2 years ago
Point Z is the incenter of ΔSRT.<br><br><br> What is mZTB?<br><br> 24°<br> 31°<br> 35°<br> 62°
Pavlova-9 [17]
The line from an incenter to a vertex bisects the angle that is produced there. You probably notice this in angle ASB and angle ARC. Therefore, angle ZTB is going to be equal to half of the angle measure of BTC. We can do the following:

24+24+35+35+x+x=180 (x represents the two angles in angle BTC when they are bisected)
simplifies to
2x+118=180
Solving for x, we get that x=31. 

So angle ZTB=31.

:)
6 0
3 years ago
Read 2 more answers
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