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ryzh [129]
3 years ago
5

John needs to make a scale drawing of his school building for art class. If the building is 256.25 meters long, and John scales

it down using a ratio of 25 meters to 1 inch, how long will the building be in the sketch?
Mathematics
1 answer:
marshall27 [118]3 years ago
4 0
<span>So we want to know how long will the scale drowing of the building be if the building is 265.25m long and the scale is 1 inch on the drawing is equal to 25 meters of the building. To find the answer lets scale the building. If the real length of the building is 256.25 meters, then the number of inches will be: 256.25/25=10.25 inches. </span>
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The line passes through (9,8) and is perpendicular to x-2y=-16
pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\

The equation is in slope-intercept form,  the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2

Slope intercept form is:

y=mx+b

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

8=-2(9)+b\\8=-18+b\\b=8+18\\b=26

Putting the values of b and m

y=-2x+26

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

4 0
3 years ago
A garden measuring 9 meters by 4 meters is going to have a walkway constructed all around the perimeter, increasing the total ar
marysya [2.9K]

Answer:

3 metres

Step-by-step explanation:

Let the width of the pathway be x

Area: (9+2x)(4+2x)

36 + 8x + 18x + 4x²

4x² + 26x + 36

Increased area is 150:

4x² + 26x + 36 = 150

4x² + 26x - 114 = 0

2x² + 13x - 57 = 0

2x² + 19x - 6x - 57 = 0

x(2x + 19) - 3(2x + 19) = 0

(x - 3)(2x + 19) = 0

x = 3, x = -19/2

4 0
3 years ago
Read 2 more answers
150% of 66(Need the work shown)
ANTONII [103]
66 is the 100%
we can solve this problem by the rule of three.

Therefore:
66------------------------100%
x--------------------------150%

x=(66 * 150%) / 100%=99

Answer 150% of 66 is 99.

Other method:
150% of 66=1.5 *66=99

Answer: 150% of 66 is 99.
4 0
3 years ago
Read 2 more answers
To convert 132 milligrams to grams, you can set up the proportion x/132 mg = 1,000/ 1 g
marin [14]

Answer:

FALSE

Step-by-step explanation: You can convert 132 milligrams by using the KHDUDCM(King Henry Died Unusually Drinking Chocolate Milk) And you will have to add three zeros to 132.  (I might be incorrect)

5 0
2 years ago
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Evaluate x+y when x=−4/5 and y=1/3. Write your answer as a fraction or mixed number in simplest form. The value of the expressio
Wittaler [7]

Answer:

7/15


Step-by-step explanation:


5 0
3 years ago
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