Write the standard form of the line that passes through (-1,-3) and (2,1).
Answers
Answer:
Step-by-step explanation:
[tex]\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\[/tex]
[tex]\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\[/tex]
Convert equation to standard form
[tex]y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5[/tex]
Related Questions
what is the radius of 16\pi
Answers
There are 6 black marbles, 14 blue marbles, 8 white marbles,
and 12 clear marbles in a bag. If Andy chooses a second marble
without replacing the first marble, what is P(black, then clear)?
Answers
Answer:
3/65 = 0.046 = 4.6%
Step-by-step explanation:
Notice that the total number of marbles is:
6 + 14 + 8 + 12 = 40
Then , the probability of getting a black marble first is 6/40 = 3/20
Now, since the experiment is without replacing, he is left with a total of 39 marbles in the bag, and the probability of getting a clear one is now 12/39
The total probability is the product of these two:
(3/20) x (12/39) = 3/65 = 0.046 = 4.6%
The manufacturer of pencils spends $0.05 to make each pencil and sells them for 0.25. The manufacturer also has fixed
costs each month of $2000. Find the number of pencils x that the manufacturer needs to sell in order to break even
Answers
Answer:
x=10000
Step-by-step explanation:
The break even point occurs when costs equal revenue. Write the break-even formula and solve to find
C(x)0.05x−20000.2xx=R(x)=0.25x=2000=10000.
What is the coefficient of the x2 term of the algebraic expression 2x4 + x2 - x + 7
Answers
Step-by-step explanation:
2x⁴ + x² − x + 7
= 2x⁴ + 1x² + -1x + 7
The coefficient of the x² term is 1.
what is the square route of 36+2
Answers
square root 38
Step-by-step explanation:
imput square root 36 plus 2
The perimeter of a rectangle is 40 m. The length is 4 m more than three times the width. Find the length and the width of the rectangle.
Answers
Answer:
Width = 4 m, Length = 16 m
Step-by-step explanation:
Perimeter = 40
Width = x
Length = 3x + 4
x + x + 3x + 3x + 4 + 4 = 8x + 8
40 - 8 = 32
32/8 = x
x = 4
Width = 4
Length = 16
Please mark as Brainliest, thank you!
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was
7.5%, and the tax in the second city was 7%. The total hotel tax paid for the two cities was $547.50. How much was the hotel charge in each city before tax?
Answers
Answer:
let the hotel charge before tax for second hotel be x
then the hotel charge before tax for first hotel = x+1500
tax of first hotel = 7.5% * (x+1500) = (7.5x+11250)/100
tax from second hotel= 7% of x = 7x/100
total tax = 547.50
7x/100 + (7.5x+11250)/100 =547.50
14.5x = 54750-11250
14.5x= 43500
x= 3000
hotel charge in first city = 4500
in second city =3000
Step-by-step explanation:
Order from greatest to least 1.202;1.29;1.02
Answers
Answer:
1.29, 1.202, 1.02
Step-by-step explanation:
1.202
1.02
hope this helps
Can someone help me simplify 16 > x +9
Answers
Answer:
7 > x
Step-by-step explanation:
16 > x + 9
you subtract 9 from both sides to get your variable by yourself and you keep the same sign
7 > x
-17 = - 10 + x
Help me please
Answers
Answer:
x = -7
Step-by-step explanation:
Isolate x by adding 10 to both sides:
-17 = -10 + x
-7 = x
So, x = -7
Craig has acollection of 220 marbles. He lets his friend have 1/4 of his collection and sells 1/5 of his collection to the novelty store. He takes 15 marbles home to give to his brother. how many marbles remain in Craig's collection?
Answers
Answer:
he would have 106
Step-by-step explanation:
hope it helps
Find the value 10 4 exponent
Answers
=10^4
=10×10×10×10
=
10
×
10
×
10
×
10
=10000
You are buying tickets to a Star Wars Convention. The tickets cost $10 per adult and $3 per child. Parking is a one-time fee of $5. If you
purchased two adult tickets, a, and the total cost was $109, how many child tickets, c, were purchased?
Answers
Answer:
28 children tickets
Step-by-step explanation:
$109 for the whole cost
bought 2 adult tickets that costed 10$ each and payed 5$ for parking fee
add them together 25$
109-25 =84
84/3 =28
Jean masear is a saw operator in a lumber mill. He works 40 hours a week and earns $630 per week. What is his hourly pay rate
Answers
Answer:
[tex]\boxed {\tt \$15.75 \ per \ hour}[/tex]
Step-by-step explanation:
We want to find Jean's hourly pay rate. In other words, his pay per hour.
We can find the pay rate by dividing the money he is paid by the number of hours worked.
[tex]pay \ rate =\frac{money \ paid }{hours}[/tex]
He is paid $630 for 40 hours.
[tex]money \ paid= $630 \\hours= 40\ hours[/tex]
[tex]pay \ rate = \frac{\$630}{40\ hours}[/tex]
Divide.
[tex]pay\ rate = \$15.75 / hour[/tex]
His hourly pay rate is $15.75 per hour.
A footballer scores in one out of five matches. What percentage of the matches does the footballer score in?
Answers
Answer:
20%
Step-by-step explanation:
100 divided by 5 =20 20x1=20
ILL MARK BRAINLIST !!! SHOW WORK
Answers
Answer:
8748
Step-by-step explanation:
a^5b^-6
when replacing the variables with their values :
3^5 -6^2
3^5 = 3*3*3*3*3 = 243
(-6)^ 2 = 36
243 * 36 =
8748
calculate the M.A.D WILL BRAINLIST
Answers
Answer:
24/760/7Step-by-step explanation:
For the first dataset ...
d1 = {20, 22, 24, 28, 29, 29, 30}
The deviations from the mean of 26 are ...
d1 -mean(d1) = {-6, -4, -2, 2, 3, 3, 4}
so the total of the absolute values of these is 24. Since there are 7 numbers, the mean of the absolute deviations is ...
mad = 24/7
__
For the second dataset ...
d2 = {12, 15, 21, 30, 33, 35, 36}
The deviations from the mean of 26 are ...
d2 -mean(d2) = {-14, -11, -5, 4, 7, 9, 10}
so the total of the absolute values of these is 60. Again, there are 7 numbers, so the mean of the absolute deviations is ...
mad = 60/7
what is the answer to
5 1/6 times ( -2/5)
Answers
Answer:-31/15
Step-by-step explanation: step 1: make both fractions improper
step 2: multiply numerator and denominator 31/6 x -2/5= -62/30
step 3: simplify -31/15
Please help me out !!!
Answers
Answer:
i cant see the exponent sorry
Step-by-step explanation:
Bucky received $100 for his birthday. How many hours can he jet ski on Lake Smellsomemore if costs $15
per hour to rent a jet ski and he also has to spend $10 on an inflatable life jacket?
Answers
Answer:
b hours
Step-by-step explanation:
100 minus the 10 on the jacket equals 90. 90 divided by 15 is 6
find the value of x. write your answer in simplest radical form
Answers
Answer:
[tex]x = 4 \sqrt{2} [/tex]Step-by-step explanation:
To find the value of x we can use either sine or cosine
Using cosine we have
[tex] \cos(\theta) = \frac{adjacent}{hypotenuse} [/tex]From the question
x is the hypotenuse
4 is the adjacent
We have
[tex] \cos45= \frac{4}{x} \\ x \cos45 = 4 \\ x = \frac{4}{ \cos(45) } [/tex]We have the final answer as
[tex]x = 4 \sqrt{2} [/tex]Hope this helps you
Step-by-step explanation:
Sinø=opp/hyp
Sin45=4/x. (× b.s by x)
xSin45=4. (÷ b.s by Sin 45)
x=4/Sin45
x=4.7
27. Give the perimeter of the rectangle below in
simplest form.
Answers
Answer:
The permeter will be 26 units
Step-by-step explanation:
First to find this you need to know what the value of x is to do this I will use the equation 3x - 7 = x + 2
1. add seven to both sides leaving 3x = x + 9
2. Then subtract the 1x from both sides leaving 2x = 9
3. Then divide 9 by 2 which will be 4.5, x = 4.5
Then just plug 4.5 into each x value 4.5 + 2 and 3(4.5) - 7
1. 4.5 + 2 = 6.5
2. 3(4.5) - 7 13.5 - 7 = 6.5
The perimeter of the rectangle below in simplest form will be 4(x - 3).
Length of the rectangle = 3x - 7
Width of the rectangle = x+2
The perimeter of a rectangle is given as 2(length + width). The perimeter of the rectangle given will then be:
= 2(length + width)
= 2(3x - 7) + 2(x + 2)
= 6x - 14 + 2x + 4
= 4x - 12 = 4(x - 3)
Therefore, the perimeter of the rectangle in simplest form will be 4(x - 3).
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https://brainly.com/question/24429956
18. f-g4, if f =3 and g = -5=
Answers
Answer:
23
Step-by-step explanation:
Step 1:
3 - -5 (4)
Step 2:
3 - (-20)
Step 3:
3 + 20
Answer:
23
Hope This Helps :)
Given the points A(-5, -6) and B(8, 2), if C is the midpoint of segment AB, find the coordinates of the midpoint of segment CB
Answers
Mr.Harris owns a bubble machine that he uses for different school events. The bubble solution contains 3/4 cup of corn starch for every 2 cups of water.
What is the rate in cups of corn starch pero cup of water
A.3/8
B.2/3
C. 1 1/2
D. 2 2/3
Answers
Answer:
3/8
Step-by-step explanation:
Divide 3/4 into 2. Got it right on iready
Will give brainliest answer
Answers
Answer:
4 and 2 are the correct answers in that order
write a number where the digit 1 greater than the digit 7
Answers
1000-? i think that works
What number is the opposite of 3.5
Answers
Answer:
-2/7
Step-by-step explanation: Thats the reciprocal so...
Please help me with these two questions.
Answers
Answer:
gooooooooood
Step-by-step explanation:
I kie that
A jar contains 68 marbles, of which 26 are blue, 29 are red, and the rest are green. What is the ratio of green marbles to all marbles?