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3 years ago

Determine the equation of a line passing through the point (4,2) with a slope 0.

1 answer:

6 0

You can use the point-slope form of a line to do this, but because there is zero slope, that's like using a chainsaw to cut a piece of paper.

Lines with zero slope are horizontal and the only thing that changes is the x-coordinate. The y-coordinate stays the same no matter what. Our y coordinate above is 2, and we report that as our equation of the line.

The equation is y = 2.

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A 20 foot ladder rests against a building 15 feet from the floor. How far does the ladder extend from the base of the wall? What

svlad2 [7]

The ladder extends 13.2 feet from the wall

The ladder makes an acute angle.

8 0

3 years ago

The table displays the frequency of scores for a calculus class on an exam. The mean of the exam scores is 3.5. Score 1 2 3 4 5

vladimir1956 [14]

Answer:

f=11

Mode=4

Median=4

Explanation:

We are given that

a.Mean of the exam score, $\bar x$ =3.5

Score(x) frequency C.F

1 1 1

2 3 4

3 f 15(4+f=4+11)

4 13 28

5 4 32

$\sum f_i=1+3+f+13+4=21+f$

$\sum f_ix_i=1(1)+2(3)+3(f)+4(13)+5(4)=1+6+3f+52+20=79+3f$

$(\bar x)=\frac{\sum f_ix_i}{\sum f_i}$

Using the formula

$3.5=\frac{79+3f}{21+f}$

$73.5+3.5f=79+3f$

$3.5f-3f=79-73.5$

$0.5f=5.5$

$f=\frac{5.5}{0.5}=11$

b.Mode:The number which is repeat most times .

4 repeat most times

Hence, mode of all exam scores=4

N=32

N is even

$Median=\frac{(\frac{n}{2})^{th}+(\frac{n}{2}+1)^{th}}{2}$

Median= $\frac{16th+17th}{2}=\frac{4+4}{2}=\frac{8}{2}=4$

7 0

3 years ago

The figure is reflected across line m and then reflected across line n. What type of transformation is the result?

melamori03 [73]

Answer:

rotation

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

A truck with a 22 gallon tank gets an average gas mileage of 14. what is the equation that describes the distance the truck can

Vlada [557]

Consumption per 14 Mile/gallon. OR 14 MPG

Distance is = Number of gallons in the tank x MPG
Let y = distance and x = the number of gallons, then:

y= x.(MPG). (MPG is a constant)

Apply it to the given data: MPG = 14 and x = 22 gallons,
y= 22.(14) = 308 miles

5 0

4 years ago

1. Is it proportional?

astra-53 [7]

Answer:

Y=5(x) Yes it is porportional.

Step-by-step explanation:

So lets look at the graph.

We first have 1x = 5y

Well, that makes it seem like for each x there are 5 y.

Lets see the other values:

2x = 10y

Divide both sides by 2 tog et x alone:

1x=5y

Again, for each x, there are 5y.

This is true for each one:

3x=15y

1x=5y

4x=20y

1x=5y

5x=25y

1x=5y

and finally:

6x=30y

1x=5y.

So yes, this is poroportional.

It can be shown as x=5y, since for a single x, there are 5 y's.

Hope this helps!

5 0

3 years ago