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3 years ago

1. Find the equation of a line that passes through the point (4,1) and is perpendicular to the

Mathematics

1 answer:

slava [35]3 years ago

7 0

Answer:

x - 4y = 0 . . . in standard form

y = (1/4)x . . . in slope-intercept form

Step-by-step explanation:

The slope of the given line is ...

m = (y2 -y1)/(x2 -x1) = (9 -(-7))/(-1 -3) = 16/-4 = -4

The slope of the perpendicular line is the negative reciprocal of this:

desired slope = -1/m = -1/-4 = 1/4

This can be used in the point-slope form of the equation of a line:

y -h = m(x -k) . . . . . line with slope m through point (h, k)

Your perpendicular line has a slope of 1/4 and goes through point (4, 1), so its equation can be written as ...

y -1 = (1/4)(x -4)

y = (1/4)x -1 +1

y = (1/4)x

In standard form, this is ...

4y = x

x -4y = 0

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Tju [1.3M]

Answer: He will have $1974 in April.

Step-by-step explanation:

Given : Total money he earned = $2200

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2 years ago

Given:

jekas [21]

Answer:

we conclude that:

If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.

Step-by-step explanation:

We know that the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p".

In other words, it is symbolically represented as:

' ~q ~p is the contrapositive of p q '

For example, the contrapositive of "If it is a rainy day, then they suspend the match" is "If they do not suspend the match, then it won't be a rainy day."

Given

p: 2x -5=5

q: 4x-6=14

As the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p

Thus, we conclude that:

If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.

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2 years ago

Jennifer drew one point at -3 on a number line, and another point at the opposite of -3 how far apart are Jennifer’s 2 points on

ArbitrLikvidat [17]

They are 6 away from eachother

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2 years ago

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Fynjy0 [20]

Answer:

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2 years ago

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7nadin3 [17]

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3 years ago