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Svetllana [295]
2 years ago
7

Find the distance between the parallel lines

Mathematics
1 answer:
beks73 [17]2 years ago
7 0

Answer:

The distance between the parallel lines is 0.92

Step-by-step explanation:

Given the two parallel lines:

<h2>4x - 6y + 20 + 0</h2><h2>6x - 9y + 20 = 0 </h2>

To find the distance between the two parallel lines:

  • First, we get a point on one of the lines, as follows:
<h2>4x - 6y + 20 = 0</h2><h2>4 (4) + 20 = 6y</h2><h2>36 = 6y</h2><h2>y = 6</h2><h2>(4, 6)</h2>
  • Once we have a point on a line, we calculate the distance from that point to the other line using the formula for the distance from a point to a line:

<u>See In Photo</u>

Where:

A = 6

B = -9

C = 20

px = 4

py = 6

Then:

<u>See in 2nd Photo</u>

<u />

Answer:

the distance between the parallel lines is 0.92

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Similar shapes are always congruent true or false?
ValentinkaMS [17]

Answer:

FALSE

Step-by-step explanation:

4 0
3 years ago
A model that has 4 points and 6 lines containing exactly two points <br>​
OleMash [197]

Answer:

4=point

6=line

4+6=10

the answer is 10

4 0
2 years ago
The weight of a nickel is 80% of a quarter. If a nickel weighs 5 grams how much does a quarter weigh?
muminat

Answer:

Weight of a quarter  = 6.25 grams

Weight of a dime  = 2.5 grams

Step-by-step explanation:

The weight of a nickel is  80%

The weight of a quarter  or the weight of a nickel is 5 grams or weight of a quarter =50.8 = 6.25 grams

Weight of a dime = 50% = 12 (weight of nickel) = 52 = 2.5 grams

8 0
3 years ago
Convert 359in^2 to square feet. round to 1 decimal place.
klemol [59]

Based on dimensional analysis and unit conversion theory we conclude that an area of 359 square inches is equivalent to an area of 2.5 square feet.

<h3>How to apply dimensional analysis in unit conversion</h3>

In this question we need to convert a magnitude in a given unit to an <em>equivalent</em> magnitude with another unit. According to dimensional analysis, <em>unit</em> conversions are represented by the following expression:

y = A · x     (1)

Where:

  • x - Original magnitude, in square inches.
  • y - Resulting magnitude, in square feet.
  • A - Conversion factor, in square feet per square inch.

Dimensionally speaking, area is equal to the product of length and length:

[Area] = [Length] × [Length]

And a feet is equivalent to 12 inches. Now we proceed to convert the magnitude to square feet:

x = 359 in² × (1 ft/12 in) × (1 ft/12 in)

x = 359 in² × (1 ft²/144 in²)

x = 2.5 ft²

Based on dimensional analysis and unit conversion theory we conclude that an area of 359 square inches is equivalent to an area of 2.5 square feet.

To learn more on unit conversions: brainly.com/question/11795061

#SPJ1

5 0
2 years ago
(04.07) Julie is at the store buying groceries. She needs to get a quart of orange juice and some peaches. The quart of orange j
hjlf

Answer:

f(x) is the total cost and x is the number of peaches.

Step-by-step explanation:

We know that each peach costs $0.75.  This means the expression 0.75x represents the total cost of peaches; this makes x represent the number of peaches.

We also know that $2.25 is the cost of juice.  Adding it to the cost of peaches gives us the total cost; this means f(x) represents the total cost.

5 0
3 years ago
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