Y=3x+4. Find an equation of a line that is:parallel to the given line
y=3x+4. Find an equation of a line that is:
perpendicular to the given line
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Answers
Answer:
Parallel: y = 3x +b, where b ≠ 4
Perpendicular: y = -1/3x + b
Step-by-step explanation:
Parallel Lines have the same slope but different y-intercepts.
Perpendicular Lines have a negative reciprocal in slope.
Related Questions
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Place parentheses in the expression so that it equals the given value 12 = 2 X 23; value: 120
A cookie recipe called for 2 4⁄6 cups of sugar for every 2⁄3 cup of flour. If you made a batch of cookies using 1 cup of flour, how many cups of sugar would you need?
Please help image attached
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Answer:
y= 17/2 but write or type it as 17
2
Step-by-step explanation:
Answer:
y=8.5
sorry they want 20 more characters so here
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Answer:
946.10 gallons per week
Step-by-step explanation:
1 cm = 0.393701 inch
Width = 5.0m = 196.85 inch
Length = 12.0 m = 472.44 inch
The volume evaporated weekly is given by:
Converting to gallons:
946.10 gallons of water must be added to the pool each week.
Final answer:
To determine the volume of water evaporated from the pool at the El Cheapo Motel, we converted all measurements to a common unit and calculated the volume of water evaporated. The motel has to add approximately 946.13 gallons of water weekly, considering there is no rain.
Explanation:
To answer this question, we first need to convert the measurements to a common unit. Given that the pool is 5.0 m wide and 12.0 m long (a total area of 60.0 m2) and the weekly evaporation is 2.35 inches, we first convert the inches to meters. Since 1 inch is equal to 0.0254 meters, 2.35 inches equals 0.05969 meters.
Then, we calculate the volume of water evaporated in a week, which is calculated by multiplying the surface area of the pool by the depth of the water evaporated. Hence, it's 60.0 m2 * 0.05969 m = 3.58 m3. As 1 m3 is approximately 264.17 gallons, 3.58 m3 equals 946.1296 gallons approximately.
In conclusion, the El Cheapo Motel needs to add around 946.13 gallons of water to their pool on a weekly basis, if there is no rain.
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C. Associative Property
B. Distributive Property
D. Commutative Property
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Property of Multiplication that is shown on the expression (5 + 3) x 2 = 5 x 2 + 3 x 2 is Distributive Property (option b)
The property of multiplication that is shown in the given equation is the Distributive Property. The Distributive Property states that multiplication distributes over addition. In other words, when we multiply a number by the sum of two other numbers, it is the same as multiplying the number by each of the individual addends and then adding the results together.
In the given equation, we have "(5 + 3) x 2 = 5 x 2 + 3 x 2." Let's break down the left-hand side first. "(5 + 3)" represents the sum of 5 and 3, which is 8. So, we have "8 x 2." By applying the Distributive Property, we can rewrite this as "5 x 2 + 3 x 2."
Now, on the right-hand side, we have "5 x 2 + 3 x 2." Here, we are multiplying 5 by 2 and 3 by 2 individually and then adding the products together. This aligns with the Distributive Property, which states that the result will be the same as on the left-hand side.
So, the Main Answer is option B. Distributive Property
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Answer:
B. Distributive Property of Multiplication
Step-by-step explanation:
The given equation shows that two similar expressions are equal to each other.
How? Well, they both equal 16 to start. These are the same expressions - one is just distributed out!
and...
In the equations, the only difference is that we distributive 2 and multiplied in by 5 and 3!
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simplify !!!
Answers
Answer:
3/8 (decimal = 0.375)
Step-by-step explanation:
apply exponent rule
= 1/4 + 2^-3
= 1/4 + 1/2^3
= 1/4 + 1/8
least common deno
= 2/8 + 1/8
= 3/8
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After the release of radioactive material into the atmosphere from a nuclear power plant in a country in 2000, the hay in that country was contaminated by a radioactive
isotope (half-life 7 days). If it is safe to feed the hay to cows when 14% of the radioactive isotope remains, how long did the farmers need to wait to use this hay?
The farmers needed to wait approximately days for it to be safe to feed the hay to the cows.
(Round to one decimal place as needed.)
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Answers
Answer:
19.9 days
Step-by-step explanation:
The amount remaining after d days is ...
a = (1/2)^(d/7)
We want to find d when a = 0.14
log(a) = (d/7)log(1/2)
d = 7·log(0.14)/log(1/2) ≈ 19.855 ≈ 19.9
The farmers need to wait about 19.9 days for it to be safe.
the rental shop applies a fine for 9p for every day the dvd is overdue
work out the total fine paid by amelia
give your answer in £?
Answers
Step-by-step explanation:
9p*30days= 45p
45÷100=0.45£
The correct answer would be No fine is paid if the DVD is returned by the due date, because the first 0 means it is 0 days overdue, so it is returned on time, and the second 0 means the fine would be $0!!