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Oliga [24]
2 years ago
15

4. The length of a rectangle is eight more than

Mathematics
1 answer:
monitta2 years ago
4 0

Answer:

length = 104/3 ft

width = 40/3 ft

Step-by-step explanation:

<u>Variables:</u>

L = length

w = width

<u>Set up equations:</u>

  • L = 8 + 2w
  • 2L + 2w = 96

<u>Substitute L with the first bullet point equation:</u>

2L + 2w =  96

2(8 + 2w) + 2w = 96

16 + 4w + 2w = 96

16 + 6w = 96

6w = 80

w = 40/3 ft

<u>Find L now that you have the value of the width:</u>

L = 8 + 2w

L = 8 + 2(40/3)

L = 8 + 80/3

L = 104/3 ft

<u>Final Values:</u>

length = 104/3 ft

width = 40/3 ft

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-(1/x+3) +4
nlexa [21]

9514 1404 393

Answer:

  • left 3 units
  • up 4 units
  • shape: lower left image

Step-by-step explanation:

For a parent function f(x), the transformations ...

  g(x) = a×f(x -h) +k

cause ...

  • vertical expansion by 'a', reflection over x-axis if negative
  • right shift by 'h'
  • up shift by 'k'

Here, we have parent function f(x) = 1/x with a=-1, h=-3, k=4. Then the transformations are ...

  horizontal shift left 3 units

  vertical shift up 4 units

  reflection over x-axis, so curves are above-left and below-right of the reference point (Note that the reflection is done <em>before</em> the translation.)

4 0
2 years ago
What two-dimensional figure will result from slicing this rectangular prism parallel to its base?
alina1380 [7]

Answer:

We will obtain a rectangle on slicing this rectangular prism parallel to it's base.

Hence, option 1) is true.

RECTANGLE.

Step-by-step explanation:

On slicing this geometrical figure; which is a rectangular prism parallel to it's base then we will obtain a figure similar to it's base of the same dimensions as it's base.

As the base of the rectangular prism is a rectangle so on slicing this 3-dimensional figure parallel to it's base we will obtain rectangles.

Hence, option 1 is true.

RECTANGLE.

8 0
3 years ago
The price of 10 citrons and 7 fragrant wood apples is 55 units. The price of 7 citrons and 10 fragrant wood apples is 64 units.
a_sh-v [17]

Price of one citron = 5 units

Price of one fragrant = 5/7 units = 0.71 units

Further explanation:

Let x be the price of one citron and

y be the price of one fragrant

Then according to given statement

10x+7y = 55         Eqn 1

7x+10y = 64          Eqn 2

Multiplying equation 1 by 7

7(10x+7y) = 7(55)\\70x+49y=385

This will be equation 3.

Multiplying equation 2 by 10

10(7x+10y) = 10(64)\\70x+100y=640

This will be equation 4.

Subtracting equation 3 from equation 4

70x+100y - (70x+49y) = 640-385\\70x+100y-70y-49y = 255\\51y = 255\\\frac{51x}{51} = \frac{255}{51}\\x = 5\\Putting\ x=5\ in\ equation\ 1\\10(5)+7y = 55\\50+7y = 55\\7y = 55-50\\7y = 5\\\frac{7y}{7} =\frac{5}{7}

So,

Price of one citron = 5 units

Price of one fragrant = 5/7 units = 0.71 units

Keywords: Linear Equations, Solving system of linear equations

Learn more about linear equations at:

  • brainly.com/question/13168205
  • brainly.com/question/1357167
  • brainly.com/question/1542444

#LearnwithBrainly

5 0
3 years ago
 PLEASE HELP!! A tennis ball machine serves a ball vertically into the air from a height of two feet, with an initial speed of 1
ch4aika [34]
Thank you for posting your question here. I hope the answer below will help. 

Vo=110 feet per second 
<span>ho=2 feet </span>
<span>So, h(t) = -16t^2 +110t +2 </span>
<span>Take the derivative: h'(t) = 110 -32t </span>
<span>The maximum height will be at the inflection when the derivative crosses the x-axis aka when h'(t)=0. </span>
<span>So, set h'(t)=0 and solve for t: </span>
<span>0 = 110 -32t </span>
<span>-110 = -32t </span>
<span>t=3.4375 </span>
<span>t=3.44 seconds </span>
4 0
3 years ago
Read 2 more answers
Anyone know the answer ?
liberstina [14]

Answer:

y ≥ -1x +2

Step-by-step explanation:

5 0
3 years ago
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