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goblinko [34]
2 years ago
12

The length of a rectangular poster is 9 more inches than two times its width. The area of the poster is 161 square inches. Solve

for the dimensions (length and width) of the poster.
Mathematics
2 answers:
irinina [24]2 years ago
8 0

Answer:

<u>Width = 7 inches</u>

<u>Length = 23 inches</u>

Step-by-step explanation:

Let :

  • length = 2x + 9
  • width = x

Equating to area :

  • (2x + 9)(x) = 161
  • 2x² + 9x = 161
  • 2x² + 9x - 161 = 0
  • 2x² - 14x + 23x - 161 = 0
  • 2x(x - 7) + 23(x - 7) = 0
  • x - 7 = 0
  • x = 7

Dimensions are :

  • <u>Width = 7 inches</u>
  • Length = 2(7) + 9
  • <u>Length = 23 inches</u>
BaLLatris [955]2 years ago
7 0

Answer:

Length: 23 inches

Width: 7 inches

Explanation:

  • Width: w
  • Length: 2w + 9
<h3>Area of rectangle: Length × Width</h3>
  • (2w + 9) × (w) = 161
  • 2w² + 9w - 161 = 0
  • 2w² + 23w - 14w -161 = 0
  • w(2w + 23) -7(2w +23) = 0
  • w = 7, -11.5

As <u>length measure cannot be negative</u>. Width is +7 inches

Length: 2w + 9 = 2(7) + 9 = 14 + 9 = 23

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Neporo4naja [7]

Answer:

Step-by-step explanation:

Question 2

As far as I can see, you got it right. The general transformation for 90 ccw is

(x,y) ===> (-y, x)

What that means is for the x you put in -y changing the sign to the opposite and for the y you put in x and this time you leave the sign alone . The transformation is shown in the left hand diagram.

The two tables are shown below.

Original

  • (1,4)
  • (1,2)
  • (3,2)
  • (3,5)

The transformed table is

  • (-4,1)
  • (-2,1)
  • (-2,3)
  • (-5,3)
  • (-4,1)    This is just to let the program know to close the figure For some reason this did not have lines and if I delete it and put the lines in, I won't be able to upload the new diagram.

===========

Four

This one transforms from (x,y) to (-x,-y) which means where you see an x, you put a - x and where you see a y, you put a minus y. It is the middle frame.

Original

  • (-4,3)
  • (0,3)
  • (-2,0)
  • (-4,3)  Here again, this is just to close the figure.

The transformed figure in red I think is

  • (4,-3)
  • (0,-3
  • (2,0)
  • (4,-3) And this closes the figure as well.

==========

Six

The diagram is on the right

Reflection about the y axis. Here the transformation is (x,y) ====> (-x,y) notice the ys don't change.

  • (-3,0)
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  • (-1,-2)

There is no closure.

Reflection

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4 0
3 years ago
The Michigan veteran population in 1990 was 14.2% and in 2000 was 12.4%.
Mandarinka [93]

Let x- intercept represents time

Let y-intercept represents population

Let 1990 represent initial year

Points are (0,14.2)(10,12.4)

slope m= \frac{y2-y1}{x2-x1}

= \frac{12.4-14.2}{10-0} =\frac{-1.8}{10} = -0.08

General linear equation

y= mx+b --------------(i)

here m is slope and b is intercept

plug the 1st point in equation

14.2= -0.018(0) + b

b=14.2

y= 0.018x + 14.2

replace y with p(t) and x with t

p(t) = -0.018t + 14.2


6 0
3 years ago
Can someone help me with this one please
Tom [10]

Do the same thing as the attached image.

8 0
2 years ago
What IS 1 + 1 in monkey math?<br><br>WILL GIVE BRAINLIEST!!​
blsea [12.9K]
2 of course 1+1=2 ik what your talking ab
4 0
2 years ago
Jonas wants to mail a package that weighs 4.2 kilogram. how much dose the package weigh in pounds?
mash [69]

jonas wants to mail a package that weighs 4.2 kilogram. how much dose the package weigh in pounds?​

we know that

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1 kg=2.2 lb

we have

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Convert to pounds

so

4.2 kg=4.2*(2.2)=9.24 pounds

therefore

the answer is 9.24 pounds

7 0
1 year ago
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