Marsha created this scale drawing of a soccer field, using a scale factor of 1 inch: 12 yards. She wants to make another scale m
odel of the same soccer field, using a scale factor of 1 inch: 36 yards. Find the length and width of the new scale drawing. a 1.33 inches, 2 inches. b 3 inches, 2 inches c 4 inches, 6 inches d 27 inches, 18 inches
2 answers:
Answer:
b 3 inches, 2 inches
Step-by-step explanation:
In the figure attached, the complete question is shown.
Originally the scale is 1 inch: 12 yards, the width is 6 inches, that is, 6*12 = 72 yards, and the length is 9 yards, that is, 9*12 = 108 yards
If the scale is 1 inch: 36 yards, then 72 yards are:
1 inch / x inches = 36 yards / 72 yards
x = 72/36 = 2 inches
which represents the new width.
And 108 yards are:
1 inch / x inches = 36 yards / 108 yards
x = 108/36 = 3 inches
which represents the new length.
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<h3>Answer ↓</h3>
y=-2x+5
<h3>Calculations ↓</h3>First of all we need to determine the slope of the line perpendicular to y = 1/2x - 5 .
The slopes of perpendicular lines are opposite reciprocals.
So we take 1/2 , turn it over , and change it's sign :
The slope of the line perpendicular to y = 1/2x-5 is -2 .
Since we're also given a point that the line crosses , we can write the line's equation in point - slope form :
y-y₁=m(x-x₁)
y-7=-2(x-(-1)
y-7=-2(x+1)
Now convert to slope intercept :
y-7=-2x-2
add 7 on both sides :
<h3>y = -2x+5</h3>