Answer:
y + 7 = 1/3 (x + 5)
Step-by-step explanation:
The format for writing a point-slope equation is: y - y1 = m(x - x1).
Step-by-step explanation:
[tex]y - y1 = m(x - x1)[/tex]
where, m = 1/3, x1 = -5 and y1 = -7
[tex]y -( - 7) = \frac{1}{3} (x - ( - 5))[/tex]
[tex]y + 7 = \frac{1}{3} (x + 5)[/tex]
[tex]y = \frac{1}{3} x + \frac{5}{3} + 7[/tex]
[tex]y = \frac{1}{3} x + \frac{26}{3} [/tex]
[tex]y = \frac{1}{3} (x + 26)[/tex]
There are ‘n’ arithmetic means between 33 and – 3. If second last mean: second mean = 1: 5, find the value of n.
We know that:
There are n arithmetic means between the numbers 33 and -3
second last mean: second mean = 1:5
Using this, we can find that the value of n is 9.
Now let's see how we need to use the information.
"There are n arithmetic means between the numbers 33 and -3"
This means that we will have a sequence like:
33, a₁, a₂, ..., aₙ, -3
And by the given ratio, we know that:
aₙ₋₂:a₂ = 1:5
Also, because this is an arithmetic sequence we have:
a₁ = 33 + d
a₂ = 33 + d + d
aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d
Because of the ratio, we will have that:
aₙ₋₂/a₂ = 1/5
We can replace what the left side by:
(-3 - 2*d)/(33 + 2*d) = 1/5
now we can solve this for d.
-3 - 2*d = (33 + 2*d)*(1/5)
5*(-3 - 2*d ) = (33 + 2*d)
-15 - 10d = 33 + 2d
-15 - 33 = 2d + 10d
-48 = 12d
-48/12 = -4 = d
So now we know that the value of d is -4.
Now we can use the equation
aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d
to find the value of n:
33 + (n - 2)*d = -3 - 2*d
33 + (n - 2)*-4 = -3 - 2*-4
33 - 4n + 8 = -3 + 8
41 - 4n = 5
-4n = 5 - 41 = -36
n = 36/4 = 9
The value of n is 9.
If you want to learn more, you can read:
https://brainly.com/question/11559160
Answer:
Step-by-step explanation:
HI. just posted a question can u help me out pleas please
Question 5
Kaya is riding her dirt bike on a road and spots a pothole ahead.
Kaya slows her car from 20.0 m/s to 5.0 m/s in 3.0 seconds. What
was her acceleration?
Help me with this question!
Answer:
...
Step-by-step explanation:
evaluate the function
Answer:
-16
Step-by-step explanation:
x = -3 is less than -2, so you should use the first equation 5x-1
thus, 5(-3)-1 = -16
Which of the following is an irrational number? How do you know? Use key words and definitions to explain your answer choice.
1632
0.25
0.0300300030000…
0
Answer:
0.0300300030000...
Step-by-step explanation:
An irrational number has endless non-repeating digits to the right of the decimal point. They can be written as decimals, but not as fractions.
1632 can be written as 3264/2
0.25 can be written as 1/4
0 could be written as 0/0
but 0.0300300030000 cannot be written as a fraction, and it satisfies the condition of an irrational number having endless non-repeating digits to the right of the decimal point.
Simplify.
What is the answer?
Answer:
81[tex]y^{8}[/tex][tex]z^{4}[/tex]
Step-by-step explanation:
Find the quotient. Round to the hundredths place.
99.466 divided by 14.8
Answer:
6.72
Step-by-step explanation:
I multiplied both numbers by 10 to make it easier in my opinion. That made the equation 994.66 x 148
Then, I divided it until i got to the thousandths place. Lastly, i just rounded making it 6.72
8, 13, 18, 23 how to write out the sequence Nth term
Answer:
5n+3
Step-by-step explanation:
:)
Answer:
[tex]\alpha n=5n+3[/tex]
Step-by-step explanation:
HELP PLEASE I NEED THIS ONE!!!
If n/30 lies between 1/5 and 1/3, what are all the possible values of n if n is a whole number?
I’ll give brainliest
Answer:
7, 8, 9
Step-by-step explanation:
1/5 = 6/30
1/3 = 10/30
2(3m+6n) + 3(5m-2n)+ 5(-6m+n)
Answer:
[tex]2(3m + 6n) + 3(5m - 2n) + 5( - 6m + n) \\ [/tex]
open the brackets:
[tex] = (6m + 12n) + (15m - 6n) + ( - 30m + 5n) \\ [/tex]
group the coefficients of m and n in their brackets:
[tex] = (6 + 15 - 30)m + (12 - 6 + 5)n \\ [/tex]
then operate the brackets:
[tex] = - 9m + 11n[/tex]
What is the volume of the following rectangula
prism?
4
units
3
23
units
4
SORRYYYYYYYYYYYYYYY I DONT KNOWWWWW
Make the number 16 using six "1"s. Example: Make the number 18 using six "1"s. A: (11-1-1)(1+1)= 18
Help me pls i have to finish my homework i have more questions to post too
Answer:
17) 19
19) 8
Step-by-step explanation:
17)
(6 +6² -4)÷2
(6 +36 -4)÷2
(38)÷2
19
19)
3³ ÷3 - 1
27 ÷3 -1
9 -1
8
Differentiate
[tex] \sqrt{x} + \frac{1}{5x} - 3[/tex]
with respect to their variable
[tex]\\ \tt\longmapsto \dfrac{d}{dx}\sqrt{x}+\dfrac{1}{5x}-3[/tex]
[tex]\\ \tt\longmapsto \dfrac{d}{dx}x^{\frac{1}{2}}+5x^{-1}-3[/tex]
Derivative of any constant is 0[tex]\\ \tt\longmapsto \dfrac{d}{dx}x^{\frac{1}{2}}+5x^{-1}[/tex]
[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]
[tex]\\ \tt\longmapsto \dfrac{1}{2}x^{\frac{-1}{2}}-5x^{-2}[/tex]
[tex]\\ \tt\longmapsto \dfrac{x}{2}^{\frac{-1}{2}}-\dfrac{1}{5x^2}[/tex]
[tex]\\ \tt\longmapsto -\sqrt{\dfrac{x}{2}}-\dfrac{1}{5x^2}[/tex]
What is the slope of the line represented
Hi
the slope is the part before. " X"
dont forget the sign !
have fun !
anyone know this question: 16) -8(-21 - 2) - 6
Answer:178
Step-by-step explanation:
distribute, multiply -8 with - 21 and -2 . that would get you 168 + 16 - 6. add the 168 and 16, it equals 184, then subtracts it with a 6.
please help me solve this
(3/4)^2+1/8+1/4•3/2= ?
Answer:
This was a little tricky but the answer is 2 7/16
Step-by-step explanation:
15
16
+
3
2
=
15
16
+
3 × 8
2 × 8
=
15
16
+
24
16
=
15 + 24
16
=
39
16
=
2 7/16
hi guys i need help with this problem ASAP! Thanksss
Answer:
56
Step-by-step explanation:
There are 8 members therefore if each other makes an exchange to one another, that would be 7 exchanges per person. 8*7= 56
[tex]\huge\mathfrak\green{ hope \: it \: helps}[/tex]
What’s the figure please
Answer:
b
Step-by-step explanation:
it doesn't go to the y or x axis so B is it
f(r)=3.14r2 what is f(7)?
Hi :)
f(r) = 3.14r2
f(7) = 3.14(7)(2)
f(7) = 43.96
please help this 2 sums
Answer:
Step-by-step explanation:
Sin (A + B) = Sin A *Cos B + Cos A *Sin B
Sin 75 = Sin (30 + 45)
= Sin 30 * Cos 45 + Cos 30 * Sin 45
[tex]= \dfrac{1}{2}*\dfrac{1}{\sqrt{2}}+\dfrac{\sqrt{3}}{2}*\dfrac{1}{\sqrt{2}}\\\\\\= \dfrac{1}{2\sqrt{2}}+\dfrac{\sqrt{3}}{2\sqrt{2}}\\\\= \dfrac{1+\sqrt{3}}{2\sqrt{2}}[/tex]
Help me please look at the pictures
Susan has four 20 point projects for math class. Susan’s scores on the first three projects are 18, 15,
and 16.
What score does Susan need to earn on project #4 to earn an 85% total average?
Answer:
Step-by-step explanation:
17*4=68
68-18=50
50-15=35
35-16=19
19
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = -4
Step-by-step explanation:
-2(3x - 4) - x - 3 = 33
~Simplify
-6x + 8 - x - 3
-7x + 5 = 33
~Subtract 3 to both sides
-7x = 28
~Divide -7 to both sides
x = -4
Best of Luck!
Answer:
x = -4
Step-by-step explanation:
-2(3x - 4) - x - 3 = 33
solve the brackets first
-6x + 8 -x -3 = 33
-6x - x + 8 - 3 = 33
-7x + 5 = 33
-7x = 33-5
-7x = 28
x = 28/ -7
x = -4
A small bag of 12 tiny potatoes costs 8.78........ how much does one potato cost?
Troy is writing a book of short stories. It is his
goal to write one short story this month, two
short stories next month, three short stories
the following month, and so on for 13 more
months. How many stories will he have written
at the end of sixteen months?
Answer:
91 short stories
Step-by-step explanation:
You just add 1 + 2 + 3 + 4 + 5 + 6... all the way to 13, and then at the end of 16 months, Troy still only wrote 91 stories since he only wrote them up until 13 months, and then stopped afterwards.
PLEASE HELPP!!
Russell decides to make a tile pattern after the first day his pattern has 8 tiles after the fourth day it has 35 tiles how many tiles was pattern have after the fifth day?
Answer:
44
Step-by-step explanation:
n = pattern number
9n - 1 = number of tiles
Number 5 = 9n - 1
= 5 x 9 - 1
= 45 - 1
= 44
The pattern will have 54 tiles after the fifth day
How to determine how many tiles was pattern have after the fifth dayTo determine the pattern, let's find the difference between the number of tiles on consecutive days:
Difference between Day 2 and Day 1: 8 tiles - 0 tiles = 8 tiles
Difference between Day 3 and Day 2: 20 tiles - 8 tiles = 12 tiles
Difference between Day 4 and Day 3: 35 tiles - 20 tiles = 15 tiles
Notice that the difference between the number of tiles on consecutive days is increasing by 4 each time (8, 12, 15).
Now, let's use this difference to find the number of tiles after the fifth day:
Difference between Day 5 and Day 4: 15 tiles + 4 tiles = 19 tiles
Number of tiles after the fourth day: 35 tiles
Number of tiles after the fifth day: 35 tiles + 19 tiles = 54 tiles
So, the pattern will have 54 tiles after the fifth day.
Learn more about pattern at https://brainly.com/question/13628676
#SPJ3
What and why is the total amount 180 is it a triangle? Or something
Answer:
Yes it is
Step-by-step explanation:
when you add up all parts of a triangle they are equal to 180
Answer:
yes
Step-by-step explanation:
the sum of interior angles of a triangle is = to 180 degrees.(It's a geomatory theorem)
Find the area for a trapezoid 9.85 m 15 m 11 m 9 m
Answer:
total area = 99m² + 39.4m²
= 138.4m²
What is the slope of the line containing (–3, 1) and (1, –2)? A. 3/4B. –4/3 C. –3/4 D.4/3
C.-3/4................