Parallel lines have the same slope
The equation of the line is: [tex]\mathbf{y = \frac 23x + 8}[/tex]
From the question, we have:
[tex]\mathbf{2x - 3y = 5}[/tex]
Make y the subject
[tex]\mathbf{- 3y = 5 - 2x}[/tex]
Divide through by -3
[tex]\mathbf{y = \frac 23 x - 5}[/tex]
Because the required equation is parallel to [tex]\mathbf{2x - 3y = 5}[/tex], then they must have the same slope
A linear equation is represented as:
[tex]\mathbf{y=mx + c}[/tex]
Where:
m represents the slope
So, by comparison:
[tex]\mathbf{m = \frac 23}[/tex]
This means that:
The required equation has a slope of 2/3
The equation of the line is:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
Where:
[tex]\mathbf{m = \frac 23}[/tex]
[tex]\mathbf{(x_1,y_1) = (-9,2)}[/tex]
So, we have:
[tex]\mathbf{y = \frac 23(x + 9) + 2}[/tex]
Open brackets
[tex]\mathbf{y = \frac 23x + 6 + 2}[/tex]
[tex]\mathbf{y = \frac 23x + 8}[/tex]
Hence, the equation of the line is: [tex]\mathbf{y = \frac 23x + 8}[/tex]
Read more about equations of parallel lines at:
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who ruled china in 150 bce
Answer:
Heliul are proprietăți chimice atât de diferite de cele ale celorlalte elemente încât nu poate fi plasat în niciun grup.
Step-by-step explanation:
Anyone know ?????? I kind of need help rn
Answer:
2.45 anytime
Step-by-step explanation:
the average of 2.4 and 2.5 = (2.4+2.5)/2=4.9/2=2.45
Answer:
2.45
Step-by-step explanation:
(2.4+2.5) / 2
Change 800% to a decimal
Answer:
8
Step-by-step explanation:
Answer:800% as a decimal = 8
Remove the percent sign, then divide 800 by 100:
800% → 800 → 800/100 = 8
simplify the expression -2x(x+3)
A: -x -6
B: -x + 6
C: -2x + 6
D: -2x - 6
Simplify the expression -2x(x+3)
-2x(x+3)
-2x²-6x
I don't know if I'm wrong because my answer isn't an option.
solve for a a^2+17=42?
We are given the following equation:
[tex]a^2+17=42[/tex]
Subtract both sides by 17
[tex]a^2=25[/tex]
Take the positive/negative square root of both sides
[tex]a=\pm5[/tex]
This should be your answer. Let me know if you have any questions, thanks!
How to simplify 7^2*7^9 divided by 7^14 and answer it in exponential form?
which of the numbers are closest to 7
[tex] \sqrt{47} [/tex]
[tex] \sqrt{50} [/tex]
[tex] \sqrt{51} [/tex]
[tex] \sqrt{46} [/tex]
Answer:
7 x 7 = 49
49 is closest to 50
B is your answer
Step-by-step explanation:
Irrational numbers cannot be written as a ratio…irrational means not rational. All fractions of integers are Rational.
with the exception of perfect squares, all square root of whole numbers are irrational, e.g. √5
how about this one:
2.34334333433334.... I am increasing the number of 3s each time, thus
creating a decimal which never ends and never repeats.
or
12.3456789101112131415.... can you see what I am doing?
will it ever end? will it ever repeat?
Find the least common multiple of 6, 10, and 5.
Answer:
30
Step-by-step explanation:
First, let's list the first 10 multiples of 6, 10, and 5.
6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60..
10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100..
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60...
Ah ha!
Can you see a common multiple? It is 30, isn't it?
So 30 is our answer.[tex]ANSWERED:\\GraceRosalia[/tex]What is the quotient in the simplest form ? 3/5 divided by 2/7
Select the correct answer. Which of the following is equal to the expression below? A. B. C. D.
Answer:
b
Step-by-step explanation:
--
Find the are length of the partial circle.
either enter an exact answer in terms of ar or use 3.14 for a and enter your answer as a decimal
units
Answer:
where is the equation please put it
Simplify, then solve
Answer:
Where is equation to solve??
A box of pencils costs 7 dollars and a box of pens costs RM12. Ali paid 1 1 1 dollars to buy 3x boxes of pencils and y boxes of pens while Haris paid 11 dollars to buy x boxes of pencils and 2y boxes of pens. Find the values of x and y.
If answer right and explanation can let me understand I will give you brainliest and thanks
Answer:x =3 y=4
Step-by-step explanation:
3x +7 +127y =111
7x +12y-2y=117
21x +12y=111
7x +24y =117
35x =105
x=3
21 +24y=117
y =4
Hayden has 7 shells . Elly has 5 fewer shells than Hayden . Beth has 2 shells . How many shells do they have in all?
Answer:
11 i think
Step-by-step explanation:
What is the value of x if...
9x - 4 - 4x = 8 + 3x
Hello!
Answer:
x=6
Step-by-step explanation:
Hope this helps!
A store sells 3 candy bars for $2 at the checkout stand. They also sell a box containing 16 candy
bars for $10. Which offer leads to the least expensive candy bar?
Answer:
the 16 candy box
Step-by-step explanation:
Answer:
16 candy bars for $10.
Step-by-step explanation:
This is because the price per candy bar when you buy 16 for $10(.625) is cheaper than that of 3 candy bars for $2(.6666666 and so on).
Help please fast the format is Y-____=_____(x - ____) and i need the actual answer
9514 1404 393
Answer:
y -195 = 15(x -9)$60Step-by-step explanation:
The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...
y -195 = 15(x -9)
__
The "one-time fee" is the cost when hours are zero.
y -195 = 15(0 -9)
y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate
The one-time fee is $60.
Tom earns $650 each week working his full-time job is employer has a 16.5% tax deduction and all monies earned each week calculate the tax deduction paid for that week
Answer:
find 16.5% of 650 by turning 16.5 into a decimal.
.16 x 650 = 104
subtract 104 from 650 and your approximate answer will be
$546
Tom paid $ 546 as tax deduction each week.
What is an Equation ?An equation is a mathematical statement formed when an algebraic expression is equated by an equal sign by a constant or algebraic expression.
It is given that weekly earnings of Tom is $650
Tax deduction is 16.5%
Let the amount of Tax deduction is represented by $x
Then the equation formed is;
x = 16.5% 650
x = 16.5*650/100
x = $ 104
Now, subtract 104 from 650
$546
Therefore Tom paid $ 546 as tax deduction each week.
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An ice cream factory makes 170 quarts of ice cream in 5 hours. How many
quarts could be made in 36 hours? What was that rate per day?
The amount of quarts which will be made in 36 hours and the production rate per day is :
1224 quarts on 36 hours 816 quarts in a dayGiven the Parameters :
Time taken to make 170 quarts = 36 hours
Number of quarts made in 36 hours using the proportional relationship :
170 = 5
p = 36
Cross multiply :
5p = 170 × 36
5p = 6120
p = 6120 / 5
p = 1224 quarts
The production rate per day :
Number of hours in a day = 24 hours
170 = 5
p = 24
Cross multiply
5p = 170 × 24
5p = 4080
p = 4080/5
p = 816
Therefore, the production rate per day is 816 quarts
Learn more : https://brainly.com/question/18112348
A principal of $2400 is invested at 7.25% Interest, compounded annually. How much will the investment be worth after 13 years?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
Step-by-step explanation:
70000
A. figure P
B. figure R
C. figure S
D. figure G
Answer:
D. figure G
Step-by-step explanation:
is (6,-7) a solution to y+3=1/2(x+2)
It takes one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizzas will you need?
Answer:
12 Super Giant Pizzas
Step-by-step explanation:
36 ÷ 3 = 12
Answer:
Step-by-step explanation:
You will need to get 12 pizzas
Explanation:36÷3=12
Need help fast please. Need help please.
Mr. Barker saved his money for 47 years and had $3,700,028 in the bank. He used his money to go on an adventure and spent $967,300. How much did he have left after his adventure?
Answer:
The answer is $2,732,728
Step-by-step explanation:
You start subtracting by aligning the numbers by place value. You subtract and get 28 then you have to subtract 0 - 3 which you can’t do and next to it are 2 other 0’s the only number you can carry is 7. You cross out the 7 and put a 6 in its place. The zero next to it becomes a 9. The one next to it also becomes a 9. Then the one on top of the three becomes a 10. You then do 10 - 3. Which equals 7. Then you do 9 - 7 = 2. 9 - 6= 3. You can’t do 6 - 9. so you cross out the 3 make it a 2 and turn the 6 into a 16. 16 - 9 =7. 2 - 0 =2 so then you get. $2,732,728.
If Betty has 5 blue marbles,3 red marbles and 1 yellow marble what is the chance sus is will pick a red marble
Answer:
33% or 1/3
Step-by-step explanation:
3 RED MARBELS/9 MARBLES=
3/9=
1/3=
33% chance of getting a red marble.
hope this helps, if not see me in the comments
HOPE THIS HELPS, BRAINLIEST PLZZZZ
Given that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the z score associated with the probability that a randomly selected adult has an IQ greater than 115.
Answer:
0.8413
Step-by-step explanation:
bad explainer srry
Answer:
Step-by-step explanation:
[tex](\frac{115-100}{15})=1[/tex]
because we're looking for the zscore associated with it being greater than we flip the sign
so the answer is just -1
What is the product of 64and 35?
Answer:
99
Step-by-step explanation:
64
+ 35
= 99
Hello again for the millionth time, need help on this, help pls, thx.