Using proportions, supposing a scale of 1 inch = 3 feet, the actual measurements of her bed are given by: 9 ft x 18 ft.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using basic arithmetic operations such as multiplication or division, from the relations built in the problem.
One example of application of proportions is for scale problems, as the actual scale and the drawing length are compared to find the actual length of the object drawn.
In the context of this problem, the scale is given by:
1 inch = 3 feet.
The drawn length of the bed is given by:
3 inches x 6 inches.
Hence the actual length is given by:
9 feet x 18 feet.
As:
<h3>What is the missing information?</h3>
The scale of the drawing is missing, hence we are going to suppose that it is 1 inch = 3 feet.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
8.4
Step-by-step explanation:
50 ÷ 25 = 2
(2)2 x 7 x 0.3
4 x 2.1
= 8.4
Let's to the first example:
f(x) = x^2 + 9x + 20
Ussing the formula of basckara
a = 1
b = 9
c = 20
Delta = b^2 - 4ac
Delta = 9^2 - 4.(1).(20)
Delta = 81 - 80
Delta = 1
x = [ -b +/- √(Delta) ]/2a
Replacing the data:
x = [ -9 +/- √1 ]/2
x' = (-9 -1)/2 <=> - 5
Or
x" = (-9+1)/2 <=> - 4
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Already the second example:
f(x) = x^2 -4x -60
Ussing the formula of basckara again
a = 1
b = -4
c = -60
Delta = b^2 -4ac
Delta = (-4)^2 -4.(1).(-60)
Delta = 16 + 240
Delta = 256
Then, following:
x = [ -b +/- √(Delta)]/2a
Replacing the information
x = [ -(-4) +/- √256 ]/2
x = [ 4 +/- 16]/2
x' = (4-16)/2 <=> -6
Or
x" = (4+16)/2 <=> 10
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Now we are going to the 3 example
x^2 + 24 = 14x
Isolating 14x , but changing the sinal positive to negative
x^2 - 14x + 24 = 0
Now we can to apply the formula of basckara
a = 1
b = -14
c = 24
Delta = b^2 -4ac
Delta = (-14)^2 -4.(1).(24)
Delta = 196 - 96
Delta = 100
Then we stayed with:
x = [ -b +/- √Delta ]/2a
x = [ -(-14) +/- √100 ]/2
We wiil have two possibilities
x' = ( 14 -10)/2 <=> 2
Or
x" = (14 +10)/2 <=> 12
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To the last example will be the same thing.
f(x) = x^2 - x -72
a = 1
b = -1
c = -72
Delta = b^2 -4ac
Delta = (-1)^2 -4(1).(-72)
Delta = 1 + 288
Delta = 289
Then we are going to stay:
x = [ -b +/- √Delta]/2a
x = [ -(-1) +/- √289]/2
x = ( 1 +/- 17)/2
We will have two roots
That's :
x = (1 - 17)/2 <=> -8
Or
x = (1+17)/2 <=> 9
Well, this would be your answers.
As the question is written, the <em>correct answer</em> is:
19519.
Explanation:
Our question states
y = 143.3(5)² + 1823.3(5) + 6820
To evaluate this, we use the order of operations (PEMDAS). There is nothing to be evaluated in parentheses, so P is taken care of.
The E part, exponents, is 5². This is 25, which gives us:
y = 143.3(25) + 1823.3(5) + 6820
Next we have M and D, multiplication and division (in the order they appear). Our multiplication is:
143.3(25) = 3582.5; and
1823.3(5) = 9116.5.
This gives us:
y = 3582.5 + 9116.5 + 6820
Lastly, we add these:
y = 12699 + 6820
y = 19519
Answer: <span>Postulate 4: If two points lie in a plane, the line containing them lies in that plane.
</span>That is because two points, call them A and B, always form a line, and so, given that they form the line AB and they are in the plane Q, the line AB is in the plane Q.<span />
