Step-by-step explanation:
Hey there!
The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).
Note: Use double point formula for the equation.
Now;
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y - 4) = \frac{2 - 4}{1 - 4} (x - 4)[/tex]
Simplify it.
[tex](y - 4) = \frac{ - 2}{ - 3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4[/tex]
[tex]y = \frac{2}{3}x - \frac{8}{3} + 4 [/tex]
[tex]y = \frac{2}{3} x - \frac{8 + 12}{3} [/tex]
[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]
Therefore, the equation is; y = 2/3x+4/3.
Hope it helps...
Stephen plans to attend community college for two years. His expenses are only $2,000 each year, because his parents are paying the rest. He earned a one-time $900 scholarship. How much will he need to pay for the two years of college from his savings or by working? $1,100 $2,200 $3,100 $4,900
Answer: $3100
Step-by-step explanation:
Stephen plans to attend community college for two years and his expenses are only $2,000 each year. For both years, his expenses will be:
= $2000 × 2
= $4000
Since he earned a one-time $900 scholarship. The amount left to pay will be:
= $4000 - $900
= $3100
Answer:
3100
Step-by-step explanation:
The annual gas bill for a town household are considered to be normally distributed with a mean of $ 1130 and a standard deviation of $ 150. If one household is randomly selected, what is the probability that the gas bill will be between $900 and $1100?
Answer:
The probability is [tex]P(900 < X < 1100) = 0.358102[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 1130[/tex]
The standard deviation is [tex]\sigma = \$ 150[/tex]
Generally the probability that the gas bill will be between $900 and $1100 is mathematically represented as
[tex]P(900 < X < 1100) = P(\frac{900 - 1130 }{150 } < \frac{X - \mu}{\sigma } < \frac{1100 - 1130 }{150 } )[/tex]
=> [tex]P(900 < X < 1100) = P(-1.533 < \frac{X - \mu}{\sigma } < -0.2 )[/tex]
Generally [tex]\frac{X - \mu}{\sigma } = Z (The\ standardized \ value \ of \ X)[/tex]
So
[tex]P(900 < X < 1100) = P(-1.533 < Z< -0.2 )[/tex]
[tex]P(900 < X < 1100) = P( Z< -0.2 ) - P(Z < -1.533)[/tex]
From the z table
[tex]P(Z < -0.2 ) = 0.42074[/tex]
and
[tex]P(Z < -1.533) = 0.062638[/tex]
So
[tex]P(900 < X < 1100) = 0.42074 - 0.062638[/tex]
=> [tex]P(900 < X < 1100) = 0.358102[/tex]
Help me please I need to answer this
Solve for r.
-13 = r/9 + 8
Answer:
Your answer is going to be r= -189
Step-by-step explanation:
(-13)-8=(r/9+8)-8
9(-21)=(r/9)9
r=-189
Triangle LMN is similar to triangly XYZ. What is the length of YX?
Answer:
The same length as XY
Step-by-step explanation:
If they are similar, they are basically the same ;)!
Hope this helped!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
which of the following are the coordinates of point A’, the image of point A, after a rotation of 90° about the origin?
Answer: I think it is (-4,0)
Step-by-step explanation:
Because the image shows it directly on the y axis so 90 degrees from that puts it on the x axis and it would have to be in the negative for the way it was reflected. So, the only reasonable answer is (-4,0).
Answer:
B) A rotation of 270° about the origin.
B) (-4, 0)
D) (-2, -5)
C) X' (-2, -6) and Y' (3, -1)
C) 280°
C) 8
B) A rotation of 180° about the origin.
B) Where Q is the center, the image of Q is itself, and for any other point V, QV' = QV and m∠VQV' = x°.
D) X' (6, -2) and Y' (1, 3)
C) (0, -30)
Brainliest plsssssss
Twelve Divided by the sum of a number and five
Use the bar model to add these fractions
Answer:
I don't understand the question but 5 would be close to 0 10 would be beside 5 15 will be beside 10 20 will be close to 15 30 will be next to 60
0.52 divided by 0.0013
Answer:
400
Step-by-step explanation:
write the sentence as an equation 253 is the product of 69 and g
Answer:
253=69g or 253=69(g)
Step-by-step explanation:
determine the unit rate for each ratio.
The gas station charges $180 for 3 hours of work. How much
they charge for 1 hour of work?
Answer:
$60
Step-by-step explanation:
You have to divide 180 by 3 to get the cost per hour :)
What is the slope of the line that passes |
through (-3, -1) and (-5, 4) ?
Plz I need help
Answer:
-2.5
basically use slope formula which is x2-x1/y2-y1
Need help really confusing
−8x+9y=-21 -3x+9y=−36
Answer:
x=-3 y=-5
Step-by-step explanation:
big brain
how are you supposed to multiply fraction?
HELP PLEASE !!!!
(2^6)^x=1 what is the value of x?
Answer:
x = 0
Step-by-step explanation:
Using the rule of exponents
[tex]a^{0}[/tex] = 1
Given
[tex](2^{6}) ^{x}[/tex]
= [tex]2^{6x}[/tex]
The only way for this to equal 1 is for x to be zero
Thus x = 0
Use the given line and the point not on the line to
answer the question,
What is the point on the line perpendicular to the given
line, passing through the given point that is also on the
y-axis?
O (-3.6,0)
O (-2, 0)
O (0, -3,6)
O (0, -2)
Answer:
It's the third one, (0,-3.6)
Step-by-step explanation:
who does gymnastics?
answer if you do only
ME!!! I have to because of volleyball and track practicing
Write an expression for the sentence: Kelly has $120 to spend at the fair and spent $15 on food and wants to play games that cost 4$ each
Smart people can answer
A fertilizer covers 3/4 square foot in 1/2 hour. how much square feet does the fertilizer cover per hour?
Answer:
1 1/2 square foot
Step-by-step explanation:
3/4 + 3/4 = 6/4
6/4= 1 2/4
1 2/4= 1 1/2
22.Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls. If he wants to make all the plates identicalwithout any food left over.A)What is the greatestnumber of plates Lenin can prepare?B)How many pieces of chicken and rolls will there be in eachplate?
Answer: The greatest number of plates Lenin can prepare = 4
and there will be 3 chickens and 4 rolls in each plate.
Step-by-step explanation:
Given: Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls.
To make all the plates identical without any food left over, the greatest number of plates Lenin can prepare = G.C.D.(12,16)=4
The number of pieces of chicken in each plate = [tex]\dfrac{12}{4}=3[/tex]
The number of pieces of rolls in each plate = [tex]\dfrac{16}{4}=4[/tex]
So, the greatest number of plates Lenin can prepare = 4
and there will be 3 chickens and 4 rolls in each plate.
x3y2-1/4x please solve it fast
Answer:
(x,y) = (0, 1/3)
Step-by-step explanation:
[1] 2x + 3y = 1
[2] 4x - 6y = -2
Graphic Representation of the Equations :
3y + 2x = 1 -6y + 4x = -2
Solve by Substitution :
Solve equation [2] for the variable x
[2] 4x = 6y - 2
[2] x = 3y/2 - 1/2
Plug this in for variable x in equation [1]
[1] 2•(3y/2-1/2) + 3y = 1
[1] 6y = 2
Solve equation [1] for the variable y
[1] 6y = 2
[1] y = 1/3
By now we know this much :
x = 3y/2-1/2
y = 1/3
Use the y value to solve for x
x = (3/2)(1/3)-1/2 = 0
Round 7.3065 to 2 decimal places
Answer:
im pretty sure its 7.31
Write the equation
“the quotient of a number and 2, increased by 9 is -15”
Use n as a variable and do not put any spaces
Answer:
[tex]\frac{n}{2}+9=-15[/tex]
I hope this helps!
Barnes and noble needs to ship 14 mystery books, 12 science-fiction books, and 8 historical-fiction books. The store can only pack one genre of book in each box, and they must pack the same number of books in each box. What is the greatest number of books Barnes and Noble can pack in each box?
Answer: 2
Step-by-step explanation:
Given: 14 mystery books, 12 science-fiction books, and 8 historical-fiction books needs to b shipped.
If they want to pack one genre of book in each box such that they pack same number of books in each box.
Then, the greatest number of books Barnes and Noble can pack in each box
= GCD(14,12,8)
Since, 14 = 2 x 7
12 = 2 x 2 x 3
8 = 2 x 2 x 2
GCD(14,12,8)=2
Hence, the greatest number of books Barnes and Noble can pack in each box = 2
HELP ME ASAP!!!
List the fractions and decimals in order from least to greatest
14: 0.5, 1/5, 0.35, 12/25, 4/5
17: -2.3, -2 4/5, -2.6
18: -6.0, -5/8, -7/12, -0.72
19:1.45, 1 1/2, 1 1/3, 1.2
20: -3.0, 0.5, 0.55, -0.35
21. explain how to compare 0.7 and 5/8
Answer:
14: 1/5, 0.35, 12/25, 0.5, 4/5
17: -2 4/5,-2.6, -2.3
18: -6.0, -0.72, -5/8, -7/12
19: 1.2, 1 1/3, 1.45, 1 1/2
20: -3.0, -0.35, 0.5, 0.55
Fraction Into Decimal:
14: 1/5=0.2, 12/25=0.48, 4/5=0.8
17: -2 4/5= -2.8
18: -5/8= -0.625, -7/12=-0.583 (3 is repeated)
19: 1 1/2= 1.5, 1 1/3= 1.3 (3 is repeated)
Explanation:
To start with, you need to convert the fractions into decimals in order to compare them easier
Then, for the negatives, it might be confusing but the bigger negative will be smaller since it's further away from 0 on a number line
Also, for #19, obviously, the negatives go first but for 0.5 and 0.55, it's kinda hard to compare but for 0.5, just add a zero at the end to extend the decimal and compare it. It would become 0.50 and 0.55 would then clearly be greater.
Hope this helped! Please give me brainliest if it did! You don't have to if you don't want to but I spend a lot of time on this, haha!
Neil is painting two squares on his bedroom wall. The length of one side of the first square is 12 inches. The second square will be 3 times the size of the first square. What is the area of the second square?
Answer:
36in
Step-by-step explanation:
12 · 3 = 36
Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute. Marla will use both copiers to make a total of 1200 copies of the newsletter. Both copiers will start and end at the same time. How many minutes will it take to make 1200 copies?
Answer:
12 minutes.
Step-by-step explanation:
Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute.
Since both copier start at the same time, let the number of minutes used by both copiers be represented by x
60 × x + 40 × x = 1200 copies
60x + 40x = 1200
100x = 1200
x = 1200/100
x = 12 minutes
Therefore, it will take 12 minutes l to make 1200 copies.
-8x + 3y = 18
-7x – 2y= 25
(-3,-2)
Answer: what is the question though
Step-by-step explanation:
if it takes joan 10 weeks to make 2 dollhouses how long will it take her to make 15 dollhouses
Answer:
75 weeks
Step-by-step explanation:
We can write a ratio to solve
10 weeks x weeks
--------------- = ---------------
2 hours 15 houses
Using cross products
10 * 15 = 2 * x
150 = 2x
Divide by 2
150/2 = 2x/2
75 = x
75 weeks