The amount Cindy should increase for each dimension of the scaled model will be 12 meters.
<h3>What is the scale factor?</h3>
The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that:-
- The scaled model of the container has dimensions of 2m by 4m by 6m. Cindy has decided to increase each dimension of the scaled model by the same amount in order to produce a container with a volume of 84 times the volume of the scale model.
The scale model will be solved as follows:-
Present volume = 2 x 4 x 6 = 48 cubic meters
Let the lengths be increased by x meters now the new volume will be:-
( 2 + x ) ( 4 + x ) ( 6 + x ) = 48 x 84
( x² + 6x + 8 ) ( 6 + x ) = 48 x 84
( x³ + 44x + 12x² - 3984 ) = 0
By solving the cubic equation we will get the value of x = 12 meters.
Therefore the amount Cindy should increase for each dimension of the scaled model will be 12 meters.
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Hi there! I don’t see any answer choices listed, however this function takes place in the First and Third quadrants of an xy plane. This means that the values will either be at the origin (0,0) or equal numbers with the same sign. For example, (2,2), (-8,-8), and (1.38,1.38) would all be possible points. When looking at points that are given, plug x and y into your equation and see if they give the right answer. If you come across a value with different signs, such as (-4,4) or (9.3,-9.3), that will be excluded from the equation or line on a graph. PS. x-y=0 simplifies to x=y, which might make it a bit easier to look at, and on a graph y=x is simply a diagonal line across quadrants I and III. Let me know if you need any extra help!
Option B is correct. <em>Yes,</em><em> (9, 22) is a solution to the </em><em>inequalities</em><em> and the</em><em> measurements</em><em> will fit in the space. </em>
The formula for calculating the perimeter of the rectangular fence is expressed as:
A = 2(L + W) where:
L is the length
W is the width
If Jamie can afford at most 70feet to build a rectangular fence is expressed as:
2L + 2W ≤ 70
<em>We are to check if the garden measure 9 feet by 22 feet. To do this we are to substitute L = 9 and W = 22 into the formula to check if the result will be less than 70</em>
On substituting:
= 2(9) + 2(22)
= 18 + 44
= 62 feet
Since 63 feet is less than 70 feet, hence we can conclude that <em>Yes,</em><em> (9, 22) is a solution to the </em><em>inequalities</em><em> and the</em><em> measurements</em><em> will fit in the space. </em>
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<em>Learn more here: brainly.com/question/17229451</em>
1) since its pairs your working with what you do is y2-y1 and x2-x1 so to start its 9-(-2) which equals 11 then -4-(-3) which equals -1, 11/-1 is -11 I hope this is helpful . . .
2) to start its y=mx+b so since your slope is 2 and your pair is (0,-3) the equation would be -3=2(0)+b since 2(0) equals 0 your left with -3=0+b subtract 0 over answers b=-3
