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Ksivusya [100]
3 years ago
8

A line passes through the points (p, a) and (p, –a) where p and a are real numbers. If p=0, what is the y-intercept? Explain you

r reasoning.
Mathematics
2 answers:
atroni [7]3 years ago
6 0
A line passes through the points (p, a) and (p, –a) where p and a are real numbers. If p=0, what is the y-intercept? Explain your reasoning. 

<span>p - as "x" never changes with the value of "y", so no matter what y is, x is always "p", so when y is 0, x = p </span>

<span>slope of the line </span>
<span>change in y over the change in x </span>
<span>(-a - a) / (p - p) = infinity - or a vertical line </span>
<span>equation of the line </span>
<span>y = p </span>
<span>slope of a line perpendicular to the given line </span>
<span>inverse of the orig slope or (p - p)/(-a - a) = 0</span>
Alexandra [31]3 years ago
5 0

Answer:

p - as "x" never changes with the value of "y", so no matter what y is, x is always "p", so when y is 0, x = p

Step-by-step explanation:

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a boat takes 8 hours to go 6 miles upstream and come back to the starting point. if the speed of the boat is 4 miles per hour in
Romashka-Z-Leto [24]
Consider this option:
1. if to re-write the condition, it is given: total time t=8 hours; upstream=downstream=6 miles; V_boat=4 m/h., V_current=V=?
2. note, that total time=time_upstream+time_downstream, where time_upstream=6miles/(V_boat-V) and time_downstream=6miles/(V_boat+V). Using this it is possible to make up and solve the following equation:
\frac{6}{4+V} + \frac{6}{4-V} =8; \ =\ \textgreater \  \  \frac{V^2-10}{16-V^2}=0; \ =\ \textgreater \  \ V=\sqrt{10} \  \frac{miles}{hour}

answer: √10

P.S. the roots of the equation are √10 and (-√10), only positive values is needed for V.
7 0
3 years ago
Sally read 13 books during this month. her brother read 7 books. one fourth out of all books they read were non fiction. how man
AveGali [126]
Sally read 3.25 and her brother read 1.75 non fiction

they all read 5 non fiction books all together
7 0
3 years ago
Lara is putting lace trim around the border of a circular tablecloth. The tablecloth has a diameter of 1.2 meters. What is the l
mylen [45]

Answer:

3.8m

Step-by-step explanation:

Since Lara is putting lace trim around the border of a circular tablecloth, by the time she finishes she has covered the circumference.

The circumference of a circle is calculated using:

C=\pi \: d

where d is the diameter of the circle.

It was given that the diameter of the circular table cloth is 1.2 meters.

C=3.14 \times 1.2

C=3.768

Therefore the length of the lace she needed is 3.8m

6 0
3 years ago
The blue shape is a dilation of the black shape. What is the scale factor of the dilation? Simplify your answer and write it as
mr_godi [17]

Answer:

3 or 3/1 (the 1 is the denominator)

Step-by-step explanation:

the shape got 3 times bigger. let me know

4 0
3 years ago
Read 2 more answers
Last year the backgammon club had 30 members. This year the club had 24 members. Find the percent of decrease in the number of m
Gnom [1K]

There is 20% decrease in the number of members.

Step-by-step explanation:

Given,

Members last year = Old value = 30

Members this year = New year = 24

Change = New value - Old value

Change = 24 - 30

Change = -6

The negative sign indicates the decrease.

Decrease percent = \frac{Change}{Old\ value}*100

Decrease percent = \frac{6}{30}*100

Decrease percent = \frac{600}{30}

Decrease percent = 20%

There is 20% decrease in the number of members.

Keywords: percentage, division

Learn more about division at:

  • brainly.com/question/10341324
  • brainly.com/question/10364988

#LearnwithBrainly

8 0
3 years ago
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