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lisabon 2012 [21]
3 years ago
13

What is an equation of the tangent line at x = 4, assuming that f(4) = 3 and f '(4) = 2? (enter your answer as an equation using

the variables y and x.)?
Mathematics
1 answer:
Margaret [11]3 years ago
3 0
The general equation for a line in the case where the slope and one point on the line are known is y-b = m(x-a), where m is the slope and (a,b) is the point.

Here f(4) = 3 corresponds to the point (4,3), and f '(4) = 2 corresponds to the slope of the tangent line at that point.

Thus the equation of the tangent line here is

         y - 3 = 2(x - 4).

An alternative form of this equation would be y = 3 + 2x - 8, or
  
          y = 2x - 5
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A school bus travels 3 km from a school to a museum. How many meters did the school bus travel?
lyudmila [28]

Answer:

3,000 m

Step-by-step explanation:

we know that,

1 km = 1000m

3km = ?

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6 0
3 years ago
Ronnie charges his customers a flat fee of $25 to fix a computer. Then, he charges $30 for each hour he spends working on the co
Usimov [2.4K]

Answer:

Ronnie spent 5 hours working.

Step-by-step explanation:

From the information given, the total cost of the job is equal to the flat fee plus the result of multiplying the cost per hour for the number of hours which is:

c=25+30x, where:

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x is the number of hours

Now, you can replace c with 175 and solve for x:

175=25+30x

175-25=30x

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x=150/30

x=5

According to this, the answer is that Ronnie spent 5 hours working.

6 0
3 years ago
Read 2 more answers
Identify the segment bisector of RS number 4 lesson 1.3
lukranit [14]
<h2>Complete Question:</h2>

Identify the segment bisector of RS. Then find RS:

  • Also, see attachment for the image being referred to.

<h2>The segment bisector of \overline{RS} is \overrightarrow{MA}</h2><h2>\overline{RS} = 18</h2>

<u><em>Recall:</em></u>

A segment bisector is a line or part of a line that divides a segment into two equal segments or parts.

<em>Thus</em>:

From the image in number 4, we have line RS that is divided by \overrightarrow{MA} into two equal segments, namely:

RM and MS

The segment bisector  of \overline{RS} is therefore \overrightarrow{MA}.

<em>Thus</em>:

RM = MS = 9 (equal segments)

RM + MS = RS (segment addition postulate)

<em>Substitute:</em>

9 + 9 = \overline{RS}\\18 = \overline{RS}\\\overline{RS} = 18

<em>Therefore</em>:

The segment bisector of \overline{RS} is \overrightarrow{MA}

\overline{RS} = 18

Learn more here:

brainly.com/question/20046572

6 0
3 years ago
Suppose an opinion poll predicted that, if the election were held today, the Conservative party would win 68% of the vote. If th
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4 years ago
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(help) what type of triangle is shown below
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