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3 years ago

A line parallel to the

1 answer:

7 0

A line parallel to the "vertical line" has no defined slope, and a line parallel to the "horizontal line" has a slope of zero.

Vertical lines have undefined slope, as any two points on the line have the same x-coordinate. The equation of vertical lines are often represented by, x = a, where a is the x-intercept in (a, 0). This means that the x-coordinate will always be the same regardless of the y-coordinate paired with it. If one were to solve for the slope of vertical lines using the formula, m = (y2 - y1)/(x2 - x1), it will not produce a finite number because division by zero is an undefined operation.

Horizontal lines are often represented by, y = b, where b is the y-intercept in (0, b).
A horizontal line have a constant y-coordinate, regardless of its paired corresponding x-coordinates.

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write and equation of the line parallel to the line 2 x + 4 y = 20 2 x + 4 y = 20 and containing the point ( −

MAXImum [283]

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m represents the slope of the line

c represents the y intercept

The equation of the given line is

2x + 4y = 20

4y = - 2x + 20

Dividing through by 4, it becomes

y = - x/2 + 5

Comparing with the slope intercept form, slope = - 1/2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2

To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes

3 = - 1/2 × - 6 + c

3 = 3 + c

c = 3 - 3 = 0

The equation becomes

y = - x/2

4 0

3 years ago

How to find the answers ?

maria [59]

AD || BC and BD is the transversal,

Therefore, angle DBC = angle ADB = 42° [alternate angles]

AD || BC and BD is the transversal,

angle BAD + angle ABD + angle DBC = 180° [co-interior angles]

or, 106°+ angle ABD + 42° = 180°

or, 148° + angle ABD = 180°

or, angle ABD = 180°-148° = 32°

Therefore, angle ABC = (32+42)° = 74°

AB||CD and BC is the transversal,

angle ABC + angle BCD = 180° [co-interior angles]

or, 72+2x+12 = 180

or, 84+2x = 180

or, 2x=180-84 = 96

or, x = 48

Answers: a)48°

b)42°

c)72°

3 0

3 years ago

Find the common ratio of the sequence. 2, –10, 50, –250, –5 1/-5 –12 12

Sholpan [36]

-5
This is just to fill out the space of twenty characters

6 0

3 years ago

Read 2 more answers

nadya68 [22]

Answer:

41 miles per gallon

Step-by-step explanation:

41 miles ÷ 1

1 gallons ÷ 1

41 miles

1 gallons

41 miles

gallon

41 miles per gallon

*Every number divided or multiplied

by 1 is the same number (1÷1=1 / 2÷1=2)*

3 0

3 years ago

Find the volume of a cylinder with base diameter 140cm and height 10cm. (22/7)

jeyben [28]

Step-by-step explanation:

could not find the formula ?

the volume of a cylinder is ground area × height.

and the ground area is a circle.

so, all in all we get

pi×r²×h

with r being the radius (half of the diameter), and h being the height.

in our case we get

pi×(140/2)²×10 = pi×70²×10 = 49000×pi =

= 153,938.04... cm³

4 0

2 years ago