You want to produce a scale drawing of your living room, which is 21 ft by 28 ft. If you use a scale of 5 in. = 7 ft, what will be the dimensions of your scale drawing?

Answers

Answer 1
Answer: If 5 in represents 7ft, then 21 ft will be represented by (21 * 5) / 7 = 15 in and 28ft will be represented by (28 * 5) / 7 = 20 in.
Hence the dimension of the scale drawing will be 15 in by 20 in.

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Which line is perpendicular to the line y=2/3x +3?Y=2/3x-1
Y=-2/3x+1
Y=3/2x+7
Y=-3/2x+7

Answers

The line that is perpendicular to the given line, is:

y = (-3/2)*x + 7

How to get the perpendicular line?

Remember that two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the other slope.

Here we start with the line:

y = (2/3)*x + 3

So the slope is 2/3.

The opposite of the inverse of that would be -(3/2). Then any line with a slope of -3/2 will be perpendicular to the given line. So we conclude that the correct option is:

Y = -(3/2)x+7

If you want to learn more about perpendicular lines:

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Does anyone know how to finish it or did I do it right?? I’m confused if I have to cancel out the 6x and leave the 3 over x or leave it as it is.

Answers

Answer:

\frac{2x - 1}{2 {x}^(2) }

Step-by-step explanation:

From your last step, divide by 3 throughout.

You cannot divide by 6x throughout because 3 cannot be divided by 6x.

Another way to do it is:

\frac{6x - 3}{6 {x}^(2) }   \n =  \frac{6x}{6 {x}^(2) }  -  \frac{3}{6 {x}^(2) }  \n  =  (1)/(x)  - \frac{1}{2 {x}^(2) }

However, if the question requires you to leave your answer in a single fraction in its simplest form, only the first answer is accepted.

Type the equation that shows the pattern among the set of ordered pairs (0,4)(1,0)(2,-4)(3,-8)

Answers

trial and error
y=-4x+4

or assuming that it is a line
y=mx+b
m=slope
b=yint
slope=(y2-y1)/(x2-x1)
(0,4) and (1,0)
(0-4)/(1-0)=-4/1=-4

y=-4x+b
sub point
4=-4(0)+b
4=0+b
4=b

y=-4x+4

-3/2 multiplied by 3?

Answers

Let's solve this step-by-step! :)

-(3/2) * 3 

= -(9/2)

I hope this helped!! :D
negative × positive= neg
so= 3/2×3
=9/2
=-4 and 1/2
=-4.5

Which of the following numbers has 4 significant figures? A. 3020.5 B. 0.003020 C. 3.2005 D. 0.0325

Answers

Answer:

B

Step-by-step explanation:

This is because the leading zero isn't counted, but the trailing zero after the decimal point is, making it four.

Find 3 consecutive numbers where the product of the smaller two numbers in 19 less than the square of the largest number?

Answers

Answer is 5, 6, & 7

x = smallest number
y = x + 1
z = x + 2

(x)(y) = z^2 - 19
(x)(x+1) = (x + 2)^2 - 19
(x^2 + x) = (x^2 + 4x + 4) - 19
x^2 + x = x^2 + 4x + 4 - 19

x^2 term drops out from both sides

x = 4x + -15
15 = 4x - x
15 = 3x
15/3 = x
x = 5
y = x + 1 = 6
z = x + 2 = 7

Confirm by substituting back in for the variables:
(x)(y) = z^2 - 19
(5)(6) = (7)^2 - 19
30 = 49 - 19
30 = 30  [OK]