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shutvik [7]
3 years ago
14

Write an equation of the lines passes through (4,1) and is parallel to y= -2x+7

Mathematics
1 answer:
Nastasia [14]3 years ago
5 0

Answer:

y = -2x + 9

Step-by-step explanation:

The parallel line has an equation of y = -2x + 7;

And its slope is -2.

The slope of the line that passes through (4,1) is also -2 since parallel lines have the same slope.

Taking another point (x,y) on the line that passes through (4,1):

slope(m) = change in y ÷ change in x

-2 = \frac{y - 1}{x - 4}

Cross multiplying gives;

y - 1 = -2x + 8

y = -2x + 9

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Answer:

C) 11

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Find the perimeter of a quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3).
antoniya [11.8K]

The perimeter of the quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3) is 20units.

Option C) is the correct answer.

<h3>What a quadrilateral?</h3>

A quadrilateral is simply a polygon with four sides, four angles, and four vertices.

To get the perimeter, we simply add the values of the four side.

Given that;

The vertices are at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3).

To get the dimension between the given coordinates, we use;

 d = √((x2 -x1)² +(y2 - y1)²)

For length CD, DE, EF and FC

CD = √((2 - (-2))² + (4 - 1)²) = √( 16+9) = √25 = 5

DE = √((5 - 2)² + (0 - 4)²) = √( 9+16) = √25 = 5

EF = √((1 - 5)² + (-3 - 0)²) = √( 16+9) = √25 = 5

FC = √((-2 - 1)² + ( 1 - (-3))²) = √( 9+16) = √25 = 5

Perimeter of the quadrilateral = CD + DE + EF + FC

Perimeter of the quadrilateral = 5 + 5 + 5 + 5

Perimeter of the quadrilateral = 20units

Therefore, the perimeter of the quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3) is 20units.

Option C) is the correct answer.

Learn more about area of rectangle here: brainly.com/question/27612962

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6 0
2 years ago
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Choose the equation of the horizontal line that passes through the point (−5, 9).
shtirl [24]
The correct answer is:  [B]:  " y = 9 " .
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6 0
3 years ago
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14/1 ÷ 3/8 = please show work and answer fast​
jarptica [38.1K]

Answer: 37 1/3

Step-by-step explanation:

14/1÷3/8=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

14/1 × 8/3=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

14×8/1×3 = 112/3

This fraction cannot be reduced.

The fraction

112/3

is the same as

112÷3

Convert to a mixed number using

long division so

112/3=37 1/3

Therefore:

14/1 ÷ 3/8=37 1/3

5 0
3 years ago
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