Answer:
y = (-3/2x) + (35/4)
Step-by-step explanation:
So the perpendicular line will have a slope that is the opposite reciprocal of the other line's slope. Solve for the original line's slope first:
2x - 3y = 7 --> -3y = -2x + 7 --> y = (2x/3) - (7/3)
So, the slope of the perpendicular line will be (-3/2x)
Solve for the y-intercept of the perpendicular like by using the linear equation and substituting in (2,8):
8 = (-3/(2*2)) + b --> (32/4) = -(3/4) + b --> b = (35/4)
So, y = (-3/2x) + (35/4)
Hope that helps! :D
8.
Find the distance between points A and B, if Ais (-1,-2) and B is (8,10).
Answer:
15 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(- 1, - 2) and (x₂, y₂ ) = B(8, 10)
d = [tex]\sqrt{(8+1)^2}+(10+2)^2[/tex]
= [tex]\sqrt{9^2+12^2}[/tex]
= [tex]\sqrt{81+144}[/tex]
= [tex]\sqrt{225}[/tex]
= 15
Twelve times a number increased by 6
Answer:
12 x n + 6
Step-by-step explanation:
n = unknown number
Find the quotient. 6 1/2 divided by 3 2/3
Answer:
Multiply both numbers by 10 and create a fraction. Then simplify that fraction by dividing both top and bottom by the greatest common factor.
Step-by-step explanation:
Treating 3 1/2 as 3.5 you could set up the fraction as such.
3.5 x 10 = 35
21 x 10 = 210
so you have the fraction 35/210. The GCF of the top and bottom is 35. There is one 35 in 35 and six 35s in 210
So the fraction in the simplest form is 1/6. So the quotient is 1/6.
Jade has $100 to spend on shoes and socks.She buys a pair of shoes for $75 and and wants to spend the rest of the money on socks.Each pair of socks costs $3.50. What is the greatest number of pairs of socks that jade can buy
Answer:
21.5
Step-by-step explanation:
Two sides of a rectangle differ by 3.5cm.Find the dimensions of the rectangle if its perimeter is 67cm.
the answer should contain step by step and understandable explanation.
Answer:
Sides are x and x + 3.5 cm
Perimeter = 2(x + (x + 3.5))cm
4x +7 = 67
x = 15cm Answer
Step-by-step explanation:
HOPE THIS HELPED!
can someone help me and explain the equation
Answer:
Jason would have to work 60 hours.
Step-by-step explanation:
The equation you would use would be 450 + 12.50t = 1200.
1200 is the money needed, 450 is a constant factor, but the 12.50 changes depending on how many hours Jason works.
You will have to use inverse operations so you would go 450 + 12.50t - 450 = 1200 - 450. That equals 12.50t = 750. Then you divide 12.50 by 750 because 12.50t is multiplying. 750 ÷ 12.5 = 60. So Jason has to work 60 hours!
If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!
Please i need help whats 1/5x - 2 = 4
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[tex] \frac{1}{5} x - 2= 4 \\ [/tex]
Add sides 2
[tex] \frac{1}{5} x - 2 + 2 = 4 + 2 \\ [/tex]
[tex] \frac{1}{5} x = 6 \\ [/tex]
Multiply sides by 5
[tex]5 \times \frac{1}{5} x = 5 \times 6 \\ [/tex]
[tex]x = 30[/tex]
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[tex] \frac{1}{5x} - 2 = 4 \\ [/tex]
Add sides 2
[tex] \frac{1}{5x} - 2 + 2 = 4 + 2 \\ [/tex]
[tex] \frac{1}{5x} = 6 \\ [/tex]
Inverse both sides
[tex]5x = \frac{1}{6} \\ [/tex]
Divide sides by 5
[tex] \frac{5x}{5} = \frac{1}{6} \div 5 \\ [/tex]
[tex]x = \frac{1}{6} \times \frac{1}{5} \\ [/tex]
[tex]x = \frac{1}{30} \\ [/tex]
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Answer:
x=1/3
Step-by-step explanation:
HELP PLEASE I BEG U I DONT WANNA FAIL
Answer:
The second one
Step-by-step explanation:
A function is a group of ordered pairs that do not have the same ordered pair. The second one has 2 fives in the x coordinate, therefore the second one is not a function
Polynomial
27 – 3x3 - 2x
Standard form
Answer:
[tex]-3x^3-2x+27 \ is\ the\ standard\ form.[/tex]
Step-by-step explanation:
The standard form of a polynomial is its representation in a descending order starting from the term with the highest degree to the one with the lowest.
Here,[tex]-3x^3-2x+27 \ is\ the\ standard\ form.[/tex]
what is the equation of the line in slope intercept form
Answer:
y=x+20
Step-by-step explanation:
Every issue of Maureen's favorite comic book has 4 pages of ads. The remaining pages contain the story.
Let p represent the total number of pages in a comic book and s represent the number of story pages.
Answer:
number of pages with ads = 4
total number of pages = p
number of story pages = s
Answer is 4 - p = s
I need some help please
Answer:
its b 2i/5
Step-by-step explanation:
4. What value should go in the place of the unknown amount.*
2 cakes
25 people
?
125 people
Answer:
8
Step-by-step explanation:
Plz help me am dam at math I will gave Brainliest
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[tex]volume = 8 \times 7 \times \frac{1}{2} \\ [/tex]
[tex]volume = 8 \times \frac{1}{2} \times 7 \\ [/tex]
[tex]volume = \frac{8}{2} \times 7 \\ [/tex]
[tex]volume = 4 \times 7[/tex]
[tex]volume = 28 \: \: \: {m}^{3} [/tex]
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Answer:
28
Step-by-step explanation:
8 x 7 x 1/2
8 x 7 = 56
56 x 1/2 = 28
3x-10=-25
Solve
NEED HRLP ASAP
Answer:
the answer is -5
Step-by-step explanation:
Answer:
x=-5
Step-by-step explanation:
trust
There are four defenders on a soccer team, if this represents 20 percent of the players on the team, which equation
can be used to find the total number of players on the team?
0.1
4x20 RO
100x 20" 200
20x25 500
20-5
4
Answer:
20% = 4 people
100% = 20 people
Step-by-step explanation:
There are a total of 20 players on the soccer team.
At an online fruit dealer, it costs $39 for 75 cases of bananas. What is the unit price?
Answer:
$0.52 cents per banana. $39 divided by the 75 bananas
Step-by-step explanation:
Answer:
$0.52
Step-by-step explanation:
When finding the unit price, we use divide the certain number of units of an item by the number of units
So for this question we will divide 39/75 to get a result of $0.52
Prime numbers up to 30
Answer:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Step-by-step explanation:
Answer:
2, 3, 5, 7, 11, 13, 17, 19, 23 and 29!
Step-by-step explanation:
Given the following set of data, what is the variance? [2 6 8 3 7 9 1 4]
A. 40
B. 5
C. 2.74
D. 7.5
The variance of the set { 2 , 6 , 8 , 3 , 7 , 9 , 1 , 4 } is 7.5
What is Variance?
Variance is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value
Given data ,
The set S = { 2 , 6 , 8 , 3 , 7 , 9 , 1 , 4 }
Step 1 :
To calculate the mean ,
Mean = Sum of Observations / Number of Observations
= ( 2 + 6 + 8 + 3 + 7 + 9 + 1 + 4 ) / 8
= 40 / 8
= 5
Step 2 :
Take each difference from mean and square it
( 2 - 5 )² = 9
( 6 - 5 )² = 1
( 8 - 5 )² = 9
( 3 - 5 )² = 4
( 7 - 5)² = 4
( 9 - 5 )² = 16
( 1 - 5 )² = 16
( 4 - 5 )² = 1
And Sum of 9 + 1 + 9 + 4 + 4 + 16 + 16 + 1 = 60
Step 3 :
Variance = The mean of squared difference
= 60 / 8
= 7.5
Hence , the variance is 7.5
To learn more about variance click :
https://brainly.com/question/13041243
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Samir's retirement party will cost $294 if he invites 6 guests. If there are 12 guests, how much will Samir's retirement party cost? Solve using unit rates.
Answer:
$588
Step-by-step explanation:
$294 = 6 Guests
$588 = 12 Guests
What does is equivalent to 3 5/6?
Answer:
equivalent fractions of 3/5 are 6/10, 9/15 and 12/20.
Step-by-step explanation:
hope this helped! have a good day<3
Factorise w2 + 4w need help asap
Answer:
hehehehehehehehehehehehehe
[BRAINLIEST] To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces three types of cars, the Delta, the Beta, and the Sigma. Each Delta requires hours for painting, hours for drying, and hours for polishing. A Beta requires hours for painting, hours for drying, and hours for polishing, and a Sigma requires hours for painting, for drying, and for polishing. If the company has hours for painting, hours for drying, and hours for polishing per month, how many of each type of car are produced?
Answer:
The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
Step-by-step explanation:
let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.
from the condition given in the question we can write
9x + 13y + 9z = 257 ........ (1)
4x + 6y + 4z = 116 ........... (2) and
3x + 4y + z = 59 ......... (3)
From equation (2) we get
9x + 13.5y + 9z = 261 ....... (4) {Multiplying with both sides}
solving equations (1) and (4) we get
0.5y = 4
and ⇒ y = 8.
from equation (2) putting the value of y we get,
4x + 4z = 116 - 48 = 68
⇒x + z = 17 .....(5)
Now, from equation (3) putting y = 8 we get,
3x + z = 59 - 32 = 27 ....... (6)
hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x
⇒ 2x = 10
⇒ x = 5
So, z = 17 - x = 12
therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
PLEASE HELP I NEED THIS TODAY!!
Answer:
25[tex]\pi[/tex]
Step-by-step explanation:
the area of circle formula: [tex]\pi r^{2}[/tex]
And the radius is 5, so 5^2= 25
Thus, the answer is 25[tex]\pi[/tex]
Answer:
78.5
Step-by-step explanation:
π[tex]r^{2}[/tex] = APlug in our numbers: 3.14 × [tex]5^{2}[/tex] [tex]5^{2} = 25[/tex] 3.14 × 25 = 78.5I hope this helps!
Help.................
Answer:
x=120 degrees
Step-by-step explanation:
Vertical angles are congruent
Which unit rate is the lowest price per ounce? (5 points)
Choice A: 22 ounces of potato chips for $3.49
Choice B: 40 ounces of potato chips for $4.79
Answer:choice b
Step-by-step explanation:
I just took the trst
Sales tax is 7.25%. If Liz buys the game system for $245.65, how much will Liz spend altogether?
Unmute your mic and "meow" to show that you need to round to the nearest cent.
plz answer its due today!!
Answer:
-5/8
Step-by-step explanation:
I DONT UNDERSTAND PLZZZ HELP
Answer:
PLZ MARK BRAINLIEST THE ANSWER IS 9
Step-by-step explanation:
the MPH is 45 miles per hour, 45 divided by 60=0.75. 0.75x12=9
2 3/4 divided by 1 1/2
Answer:
1/2
Step-by-step explanation:
Answer:
1 5/6
Step-by-step explanation: