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3 years ago

Line l has equation y=-3. Find the distance between l and the point E(-7,0).

2 answers:

8 0

Wait... why the nearest tenth? maybe i’m reading the questions wrong but the equation y=-3 is just a horizontal line going through -3 on the y axis, so the diff is just 4

Dmitrij [34]3 years ago

5 0

Answer:

The given line has slope m=1

the perpendicular line MUST have slope -1

Since it MUST eat (-3,2), the intercept formula says

B = y - mx = 2 - (-1)(-3) = 2 - 3 = -1

so the equation of the perpendicular line that eats point W is

y = -x -1

The lines y=x+3 and it's perpendicular y = -x-1 intersect at

y = x+3 = -x-1

2x+3 = -1

2x = -4

x = -2

THe intersection point is

(-2,1)

Finally by distance formula,

The distance between (-3,2) and (-2,1) is

sqrt ( (-3 - -2)^2 + ( 2-1)^2)

= sqrt( (-3 + 2)^2 + (2-1)^2)

= sqrt( (-1)^2 + 1^2)

= sqrt ( 1+1)

= sqrt(2)

Step-by-step explanation:

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3 years ago

Write the coordinates for the given dilation

Olegator [25]

Answer:

D $_o$ of Y = (-3/2, -1)

Step-by-step explanation:

We are given three points on the graph:

X (4, 0)

Y (3, 2)

Z (2, 2)

and the scale factor of dilation which is $-\frac{1}{2}$ .

Given that, we are to find the coordinates of Y after dilation. To find that, we will multiply the coordinates of the point Y with the scale factor.

Y = $(-\frac{1}{2}$ × $3$ , (-\frac{1}{2}[/tex] × $2)$

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3 years ago

Why should you look out for a pig that knows karate?

kipiarov [429]

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5 0

3 years ago

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Identify the sequence as arithmetic, geometric, both, or neither. 50, –50, 50, –50, . . . both arithmetic geometric neither desc

stellarik [79]

Answer:

The sequence is geometric.

Step-by-step explanation:

In Arithmetic sequence, there is a common difference between any two consecutive terms but in Geometric sequence, there is a common ratio between any two consecutive terms.

Given sequence is: 50, -50, 50, -50,.................

Lets assume, the terms as $a_{1}, a_{2}, a_{3}, a_{4},...........$

Checking for common difference:

$a_{2}-a_{1}= (-50)-(50)= -100\\ \\ a_{3}-a_{2}=(50)-(-50)=100\\ \\ a_{4}-a_{3}=(-50)-(50)=-100$

As there is no common difference, so it's not an arithmetic sequence.

Checking for common ratio

$\frac{a_{2}}{a_{1}}=\frac{-50}{50}=-1\\ \\ \frac{a_{3}}{a_{2}}=\frac{50}{-50}=-1\\ \\ \frac{a_{4}}{a_{3}}=\frac{-50}{50}=-1$

As there is a common ratio, so it's a geometric sequence.

8 0

4 years ago

Help meeeee plzzzzzzzzzz i need this done

olchik [2.2K]

Answer:

1.) yes

2.) no

Step-by-step explanation:

1.) Yes

3x - 2y = 1

3(5) - 2(7) = 1

15 - 14 = 1

1 = 1

2.) No

2x + 8y = 26

2(-3) + 8(-4) = 26

-6 - 32 = 26

-38 ≠ 26

3 0

3 years ago

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