Find the equation of the line passing through the given point and perpendicular to the given line
Answers
Answer:
5x + y = 34
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x - 5y = 8 ( subtract x from both sides )
- 5y = - x + 8 ( divide through by - 5 )
y = [tex]\frac{1}{5}[/tex] x - [tex]\frac{8}{5}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{5} }[/tex] = - 5 , then
y = - 5x + c ← is the partial equation
to find c substitute (5, 9 ) into the partial equation
9 = - 25 + c ⇒ c = 9 + 25 = 34
y = - 5x + 34 ← equation of perpendicular line in slope- intercept form
add 5x to both sides
5x + y = 34 ← equation in standard form
Related Questions
If the sequence 36, 24, 16, ... is geometric, find S5. PLEASE I NEED HELP W THIS!!
Answers
Answer:
This is a sequence of geometric and for 5 it will be 4.74
Step-by-step explanation:
36,24,16,7.11, and 4.74
Just divided by 1.5 and you will see
Hope this Helped
108
Explanation:
In any geometric series, we need two pieces of information to find its sum to the
n
-th term, and thus the sum to infinity.
Firstly, we need the first term,
a
. This is obviously
36
in this expression.
Secondly, we need the common ratio,
r
,. We find this by taking 24/36 =2/3
Thus a =36 and r =2/3 . also note that
(R) =2/3 <1
We then apply the formula for sum of geometric series to the
n -th term when (r) <1 : Sn =a(1 -rn ) / 1-r = 36 ( 1 - (2/3 ) n) / 1 -(2/3)
=108 (1 -(2/3) n)
The sum to infinity s ♾ is defined to be the limit of sn as n - ♾
N- ♾,(2/3) n -0.sn -108 -0 =108
S ♾ =108
(05.06 LC) A person drives her own personal vehicle to work two days of the week. Her commute to and from work is 42 miles a day, and her car averages 28 miles per gallon? How much gasoline is the person conserving a day if she takes the train instead? Group of answer choices 1.5 gallons per day 3.0 gallons per day 4.5 gallons per day 5.5 gallons per day
Answers
Answer:
1.5 gallon per day
Step-by-step explanation:
As given,
Daily miles = 42
Average gasoline used = 28 mil/gallon
Daily use of gasoline = [tex]\frac{Daily mile}{Average gasoline}[/tex]
= [tex]\frac{42}{28}[/tex] = 1.5 gallon /day
∴ we get
she conserve gasoline a day = 1.5 gallon per day
Which equation shows the same relationship as 4 = 1/5 x 20
choose 1 answer:
A. 4 ÷ 20 = 1/5
B. 20 = 1/5 ÷ 4
C. 20 x 4 = 1/5
Answers
Answer:
C. 20 x 4 = 1/5Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
4/20=.02 so its not A
1/5 divided by 4 is .05
So that leaves C
I hope this helps :)
Need asap- will give brainliest-real answers only or you will be reported
Answers
Answer: The answer is D.
Step-by-step explanation: In this case, you have to find the LCM. The LCM is 72 because both 24 and 36 are factors of 72, and that is the first product that both 24 and 36 are factors. Brainliest plz
Answer:
I'm so sorry I'm not exactly how to figure this out but I think it would be 96 seconds. If I'm wrong please let me know
Step-by-step explanation:
A student scored 80 and 93 on her first two quizzes. Write and solve a compound inequality to find the
possible values for a third quiz score that would give her an average between 85 and 90, inclusive.
Answers
Answer:
I think it would be 87.5 as an average between 85 and 90.
Step-by-step explanation:
Find the GCF. (questions shown in photo)
Answers
Given:
(a) [tex]12a^2b^2c, 15a^3b^3c[/tex]
(b) [tex]2^3\cdot 3^2\cdot 7\cdot 11\text{ and }2^2\cdot 3^3\cdot 5\cdot 7[/tex]
To find:
The GCF.
Solution:
(a)
We have,
[tex]12a^2b^2c, 15a^3b^3c[/tex]
The factor forms are
[tex]12a^2b^2c=2\cdot 2\cdot 3\cdot a\cdot a\cdot b\cdot b\cdot c[/tex]
[tex]15a^3b^3c=3\cdot 5\cdot a\cdot a\cdot a\cdot b\cdot b\cdot b\cdot c[/tex]
Now,
[tex]GCF=3\cdot a\cdot a\cdot b\cdot b\cdot c[/tex]
[tex]GCF=3a^2b^2c[/tex]
Therefore, the GCF is [tex]3a^2b^2c[/tex].
(b)
We have,
[tex]2^3\cdot 3^2\cdot 7\cdot 11\text{ and }2^2\cdot 3^3\cdot 5\cdot 7[/tex]
GCF is the product of common prime factors with least power.
[tex]GCF=2^2\cdot 3^2\cdot 7[/tex]
Therefore, the GCF is [tex]2^2\cdot 3^2\cdot 7[/tex].
Please help me with this for brainliest im soo confused
Answers
Taylor is decorating for a party. She cuts 5 equal-length streamers from a strip of yellow paper that is 9 feet long. How long is each streamer in fraction form?
Answers
Answer: 1 4/5 feet
Step-by-step explanation:
Length of the strip of yellow paper = 9 feet.
Number of streamers that were cut = 5
Length of each streamer will then be:
= Length of the strip of yellow paper = 9 feet / Number of streamers that were cut
= 9 feet / 5
= 1 4/5 feet
250 gramı 3.75 TL olan peynirin 1 kilogramı kaç liradır?
Answers
Answer:
3.75•4=15 TL dir .......
An equation is given.
y = 3x + c
Create an equivalent equation by solving for x in terms of y and c.
x = ______________
Answers
Since a middle school opened, the boys basketball team has had the same record every season. The team has won a total of 130 games while losing only 10 games. Find the constant of proportionality of wins to losses.
Answers
Answer: 1:13 or for every 10 games they will lose one game
Step-by-step explanation:
Please help me I posted this before using all my points and now I'm reposting it Bc no one helped me
When Sarah was 6 months old, she was 21 in. tall and her head had a diameter of 4.5 in. Now, at 20
years old, she is 6 ft. 1 in. tall and her head has a diameter of 7.65 in. If Sarah is typical, should a
person at 20 years of age be considered "similar" to herself at 6 months of age? For all parts of the
problem write an equation and solve, showing ALL the work.
a. Find the ratio of height-to-head diameter for Sarah at 6 months old. If the ratio were the
same when she was 20 years old, what diameter would her head have?
b. Find the ratio of height-to-head diameter for Sarah at 20 years old. If the ratio were the
same when she was 6 months old, how tall weld she be at 6 months?
Draw or add images here
C
How close are the two ratios you found in Part (a) and Part (b)?
d. If Sarah were taller or shorter either at 6 months of age or 20 years of age, would this make
her more or less "similar" at those two ages? Explain.
Answers
Answer:
a. ratio of height to head at 6 months old is 21/4.5 =(4.66) (the height is 4.66 times the head)
- if the ratio is the same when she is 20 she would have a head with (6ft 1in =73inches) 73/ 4.66 = 15.67 inches in diameter
b. ratio height to head at 20 yrs old = 73/7.65 = 9.54 (the height is 9.54 times the head)
-she would be about 15.6 * 4.66 = 72.70 inches tall at 20 yrs old if we the ratio at 6 months old
c. in part a ratio is 4.66, in b it is 9.54. it's a big difference
d.if she was taller at 6 months old. her head size will be smaller when she is 20 yrs compare to what we calculate.
the she was shorter at 6 months old. the ratio will be smaller and the head may have been as big as her body
Let me know if it helps, if you can please give brainliest
if its possible, whats -12/3 simplifies
Answers
Answer:
-4
Step-by-step explanation:
Determine the value of x below.
30
12
X
Answers
Answer:
138
Step-by-step explanation:
Let 30, 12 and X be the angles of a triangle
The sum of the angles in a triangle is 180degrees
Hence
30+12+X =180
42+X = 180
X = 180-42
X= 138
Hence the value of X is 138
What is 7+y(3+y) when y=5
Answers
Answer:
47
Step-by-step explanation:
Sub in 5 for y:
7+5(3+5)
7+5(8)
7+40
47
Answer:
96
Step-by-step explanation:
3 + 5 = 8
7 + 5 = 12
So, 12(8) is the same as 12 x 8.
12 x 8 = 96
...what's
[tex]({1 + 2 } ) \div( 1 -2)[/tex]
Answers
Answer:
-3
Step-by-step explanation:
(1+2)/(1-2)
= 3/-1
= -3
Answer:
-3
Step-by-step explanation:
(1+2) ÷ (1-2) = 3 ÷ -1 = -3
During a sale, a store offered a 15% discount on a TV that originally sold for $420. After the sale, the discounted price of the TV was marked up by 15%. To the nearest whole number, what percent of the original price was the price after markup?
Answers
Answer:
The price after markup was 98% of the original price.
Step-by-step explanation:
calculate the area of trapezium
Answers
12 + 22 = 34
34/2 = 17
17 x 10 = 170
Can someone help me. I need to show the box method also can someone show me.
Answers
there's a 3 on the left of the box it got cut out. you jus multiply 3 by 6000, 200, 50, nd 3,, n then add the numbers tht you get in the boxes and if you see my bad handwriting, no you didnt
Find the coordinates of a point that is on the line y=2x+4
Answers
Answer:
can it be any coordinates? if so (0,4) (1,6) (2,8) and (3,10) are a couple of coordinates that would be on that line
Step-by-step explanation:
How to solve 2(x+7)=-4x+14
Answers
Answer:
distribute the 2 on the left side to become 2(x+7)-->2x+14=-4x+14, add 4x to both sides to become 2x+14+4x=-4x+14+4x-->6x+14=14, subtract 14 from both sides 6x+14-14=14-14-->6x=0 and divide both sides of the equation by 6 to get x alone, 6x/6=0/6-->x=0 so x would equal 0.
Step-by-step explanation:
I need help plz ASAP
Answers
Answer:
2nd one down
Step-by-step explanation:
Answer:
Step-by-step explanation:
please help me with this for brainliest
Answers
Answer:
23
Step-by-step explanation:
4^2 = 16, 16 + 7 = 13
PLS HELP. In the triangle ABC, BP is the medium from the vertex B. If AC= 25 units and CR= 4.5 units, find PR. PLS HELP
Answers
9514 1404 393
Answer:
PR = 8
Step-by-step explanation:
The median bisects the side opposite the vertex, so ...
P is the midpoint of AC
Since AC = 25, the length of half that segment is PC = 12.5. Of course, that is the sum of segments PR and RC:
PR + RC + PC
PR + 4.5 = 12.5 . . . . . fill in the known values
PR = 8 . . . . . . . . . . . . .subtract 4.5
Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week.Elena starts with $10 in her savings account and adds $20 each week.
Answers
Answer:
Andre has more money.
help please you don’t have to though
Answers
A city cat show is underway. Complete with purring, meowing, and an occasional hiss. There are three times as many orange cats as black and white cats, two times as many black and white cats as grey cats, three fewer gray cats then white cats, three times as many white cats as calico cats, and five white cats. How many of each kind of cat is in the show? How many in all?
Answers
Answer:
Step-by-step explanation:
There are three times as many orange cats as black and white cats,
o = 3(b + w)
two times as many black and white cats as grey cats,
b + w = 2g
three fewer gray cats than white cats,
g = w - 3
three times as many white cats as calico cats,
w = 3L
and five white cats
w = 5
There is a problem with this.
There are 5 white cats.
There are 3 times as many white cats as calico cats.
That means there are 5/3 calico cats.
How can the number of a certain type f cats be a non-whole number?
It seems that the number of white cats must be a multiple of 3, but 5 is not.
Answer:
hi
Step-by-step explanation:
What is the value of x? Fill in the blanks.
Answer:
25 = ?
? 4x-4
( ? )(4x-4)=(20)( ? )
100x- ? = 600
100x = ?
X= ?
Answers
20 = 4x-4
(25)(4x-4) = (20)(30)
100x - 100 = 600
100x = 600 + 100
100x = 700
x = 7
Hope it helps!
PLEASE HELP WILL GIVE BRAINLY! Given the function:
f(x)=
{6x+5x<0
[6x+10x≥0
Calculate the following values:
f(−1)=
f(0)=
f(2)
Answers
f(x)=
{6x+5x<0
[6x+10x≥0
Calculate the following values:
f(−1)=
f(0)=
f(2)
Answers
6x + 5x < 0
f(-1) -x<2/11
f(0) false
f(2) false
6x + 10x _>
f(-1) x _>1/8
f(0) True
f(2) True
Can anybody help me please? it’s a major and i’m very confused.