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Veronika [31]
3 years ago
5

Line C and D are perpendicular. If the slope of a line c is -4, what is the slope of line D?

Mathematics
2 answers:
olga_2 [115]3 years ago
5 0

Answer:

\frac {1}{4} is slope for line D

Step-by-step explanation:

<u>Step 1:  Find the slope of the line D </u>

<em>Flip the sign on Line C </em>

-4 was previous

4 is new

<em>Convert to reciprocal </em>

4 was previous

1/4 is new

Answer: \frac {1}{4} is slope for line D

andrew11 [14]3 years ago
4 0

Answer:

1/4

Step-by-step explanation:

The slope of a line is the steepness of a line.

The slope of a perpendicular line is always the negative reciprocal of the slope of the line it is perpendicular with.

Since line C has a slope of -4, the negative reciprocal of that is 1/4.

Reciprocals are two numbers that multiply together to get 1.

For example, -1/4*-4/1=1

Therefore the negative recipricol is 1/4

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2 years ago
Miles sells 3 raffle tickets for $18 and 4 tickets for $24. The pattern for the price of the tickets is the same. How much money
serg [7]

Answer:

If Miles sells 6 tickets the money he will collect be <u>$36</u>.

Step-by-step explanation:

Given:

Miles sells 3 raffle tickets for $18 and 4 tickets for $24.

The pattern for the price of the tickets is the same.

Now, to find the money miles will collect if he sells 6 tickets.

Let the money Miles will collect be x.

The ticket if sells will be 6.

As, Miles sells 3 tickets for $18.

And the pattern for the price is same.

<em>So, 3 is equivalent to 18.</em>

<em>And, 6 is equivalent to </em>x.<em />

Now, to get the money by using cross multiplication method:

\frac{3}{18} =\frac{6}{x}

<em>By cross multiplying we get"</em>

<em />3x=108<em />

<em>Dividing both sides by 3 we get:</em>

x=36.

<u><em>The money MIles will collect = $36.</em></u>

Therefore,  if Miles sells 6 tickets the money he will collect is $36.

5 0
3 years ago
At which of the following points do the two equations f(x)=3x2+5 and g(x)=4x+4 intersect?
Basile [38]

Answer:

(\frac{1}{3}, \frac{16}{3} ) and (1, 8 )

Step-by-step explanation:

To find the points of intersection equate f(x) and g(x), that is

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3x² - 4x + 1 = 0 ← in standard form

(3x - 1)(x - 1) = 0 ← in factored form

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x - 1 = 0 ⇒ x = 1

Substitute these values into either of the 2 functions for corresponding y- coordinates.

Substituting into g(x), then

g(1) = 4(1) + 4 = 4 + 4 = 8 ⇒ (1, 8 )

g(\frac{1}{3} ) = \frac{4}{3} + 4 = \frac{16}{3} ⇒ (\frac{1}{3}, \frac{16}{3} )

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Step-by-step explanation:

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