The equation of a line is y = [tex]\frac{-x}{5}[/tex] ± √2.
What is an equation of a line?The set of points that make up a line in a coordinate system are represented algebraically by a line's equation.The slope of the line and a point on the line can be used to create the equation of a line.The slope of the line, which can be stated as a numeric integer, fraction, or tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.Given Line : 5x - y = 1
slope of line = [tex]\frac{-5}{-1}[/tex] = 5
product of slopes of two perpendicular lines is - 1.
m₁ × 5 = -1
slope of required line m₁ = [tex]\frac{-1}{5}[/tex]
Let the equation of the required line be
y = mx + c where m is slope
y = [tex]\frac{-x}{5}[/tex] + c
Area of the triangle formed by a line with intercepts a,b = [tex]\frac{1}{2} ab[/tex]
Here, x-intercept = 5c
y-intercept = c
Area of triangle = [tex]\frac{1}{2} (5c)(c)[/tex]
=[tex]\frac{5c^{2} }{2}[/tex]
Given area = 5
⇒ [tex]\frac{5c^{2} }{2}[/tex] = 5
⇒ c² = 2
⇒ c = ±√2
Hence, The equation of a line is y = [tex]\frac{-x}{5}[/tex] ± √2.
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Find all x-intercepts of the function. Express your answer as a list of x-values.
f(x)=-2x^5+10x^3
Answer:
Step-by-step explanation:
45
Lizzy had #500, John has #50
FIFI will have #700.Who has more money amongst the three.
Answer:
John
Step-by-step explanation:
it says Lizzy had which means we don’t know how much she has now. It says Fifi will have so we don’t know how much they have right now. But it says John has so we know what he has so therefore he has the most as of right now
Translate this sentence into an equation.
54 is the sum of 12 and Rhonda's height.
Use the variable r to represent Rhonda's height.
Answer: 12+r=54
Step-by-step explanation:
r=Rhonda's height
12+r=54
Answer:
12+ r = 54
Step-by-step explanation:
If 54 is the sum, we put it at the end of the equations. Sum means 'the answer to an addition equation' so it must be add ( + )
If we use r to represent Rhonda's height then we have the equation of:
12+ r = 54
NOT PART OF THE QUESTION BUT IF NEEDED:
To figure out Rhonda's height, do 54 - 12= r
❌❌PLEASE HELPILL MARK BRAINLIEST❌❌❌Does coordinate m or coordinate n represent a greater number in the following parallelogram?
(0,1)
Choose 1 answer:
B
(3,5)
m
n
(m, n)
(10,5)
Answer:
The answer would be m.
Step-by-step explanation:
The point would be (7,1) If you look at the top two points, (3,5) and (10,5) You can see that the y coordinates are the same. They are both 5. So on the bottom left (0,1) we know that are n will be 1 . Now we have to figure out m. If we look on the top (3,5) (10,5) We can see from the x's 10 and 3, that they are a distance of 7 apart. Since our bottom left hand corner is (0,1) If we add 7 to 0 we get 7. That makes m equal 7
Water flows from the hose at a rate of 20 gallons per minute into an enormous swimming pool. How long does it take to fill the swimming pool shown? (Hint: It takes about 14 gallons of water to fill 1 cubic foot.)
Answer: please provide info
Step-by-step explanation:
There is no information provided of the swimming pool's depth, length or width.
However, to solve this, just find depth x length x width
then, take that answer and divide it by 20.
wHAT IS 1.42 - (-2.9)
[tex] \: \: \: \: \large\bf\implies \: 4.32[/tex]
Step-by-step explanation:[tex] \longrightarrow \bf \: 1.42 - ( - 2.9) \\ \longrightarrow \bf \: 1.42 + 2.9 \\ \longrightarrow \bf \: 4.32[/tex]
Additional information:First of all we know that to do this type of question that is ↓
(-)(-) = +(+)(+) = +(-)(+) = -(+)(-) = -SOMEONE HELP ME ON THIS SIMPLE QUESTION
Step-by-step explanation:
1. 10+m= -9 ANSWER: M= -19
subtract 10 from both sides (m=−9−10)
Subtract 10 from −9 to get −19.
2. -12x= 60 ANSWER: X= -5
Divided both sides by negative 12 (x= 60 over -12)
Divide 60 by −12 to get −5.
3. v/20 = 7 ANSWER: V= 140
Multiply both sides by 20 (v=7×20)
Multiply 7 and 20 to get 140.
(Hopefully this helps)
Belinda buys a flat screen plasma television costing R20 000 on hire purchase. She traded in an old television for R3 000 and paid a deposit of R 2000. The balance was paid by means of monthly instalments of R900 over two years. Calculate the total simple interest paid and the rate of simple interest.
Based on the monthly installments and the amount that Belinda traded in the television for, the total simple interest paid was $6,600 and the rate of simple interest was 22%.
What was the simple interest paid?The balance after the trading in and deposit was:
= 20,000 - 3,000 - 2,000
= R15,000
The total simple interest paid was:
= (900 x 2 x 12months) - 15,000
= $6,600
The rate of simple interest was:
= (6,600 / 2 years) / 15,000
= 22%
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A charter tours bus driver can fit an average of 54 passengers on his bus for each tour. He is scheduled to run 9 tours over the next month. At this rate, how many passengers will he give tours to on his bus?
The number of passengers that he will give tours to on his bus is 486 passengers.
How to compute the value?From the information, the charter tours bus driver can fit an average of 54 passengers on his bus for each tour and he is scheduled to run 9 tours over the next month.
The number of passengers that he will be able to carry will be:
= 54× 9
= 486
There'll be 486 passengers.
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which expression represents an irrational number
........... what is a day of the week that you do not like? and why. Just curious!
In 7 days of a week, most of us do not like Monday because all the work starts again on monday after a weekend.
We need to tell the day in a week which we do not like in a week.
What is the first day of a week?Sunday is the first day of a week.
In a week there will be 7 days, sunday, monday, tuesday, wednesday, thursday, friday and Saturday. In this most of the people dont like monday because after a weekend the starting would be monday where one has to start the work.
Therefore monday is a day of week which i do not like.
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Is -1.5 greater than 2.1
E 2
2 + 1 + 7
I GOT BORED AGAIN HELP ME
Answer:
10.
Step-by-step explanation:
Add them together.
Answer:
2 + 1 + 7 = 10
Step-by-step explanation:
This is actually easy.
A divided by b is 4, then what’s is b divided by a?
Answer:
the answer is
Step-by-step explanation:
A is more likely to be 12 and B could be 3
so 12/3=4
and
3/12= 0.25
please help, Solve K-PRT for R.
Answer:
r = [tex]\frac{k}{pt}[/tex]
Step-by-step explanation:
I think that you mean
K = PRT Divide both sides by pr
[tex]\frac{k}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex] On the right sides the pr's on the top and bottom cancel each other out and you are left with
r = [tex]\frac{k}{pr}[/tex]
A textbook store sold a combined total of 414 physics and psychology textbooks in a week. The number of physics textbooks sold was 68
more than the number of psychology textbooks sold. How many textbooks of each type were sold?
Find the area and perimeter. The figure shows a triangle. One side is given by x minus 7 units. The second side is given by 2 x plus 5 units. The third side is equal to 12 units. The height from the third side is given by x plus 6 units. Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex. 12x + 72; 3x + 10 6x + 36; 3x + 10 6x + 36; 10x + 3 12x + 72; 10x + 3
Area of the triangle = 6x + 36
Perimeter of the rectangle = 3x + 10
How to Find the Area and Perimeter of a Triangle?Given the following parameters of a triangle as shown in the image attached below, its area and perimeter is calculated as shown below?
Area of the triangle = 1/2(base)(height) = 1/2(12)(x + 6)
Area of the triangle = 6(x + 6)
Area of the triangle = 6x + 36
The perimeter of the triangle = sum of all the three sides of the given triangle = (x - 7) + (2x + 5) + (12)
Perimeter= x - 7 + 2x + 5 + 12
Add like terms
Perimeter= x + 2x - 7 + 5 + 12
Perimeter= 3x + 10
Therefore, we have:
Area of the triangle = 6x + 36
Perimeter of the rectangle = 3x + 10
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create and equivalent expression for 12^-7 x 12^5
The required equivalent expression to 12⁻⁷ x 12⁵ is 12⁻².
Given that,
To determine the equivalent expression for 12⁻⁷ x 12⁵.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= 12⁻⁷ x 12⁵
Simplifying
= 12⁻⁷ x 12⁵
Since, when the same value has a difference in the exponent in the product then it retains the base value and the addition of the exponent takes place.
= 12⁻⁷⁺⁵
=12⁻²
Thus, the required equivalent expression to 12⁻⁷ x 12⁵ is 12⁻².
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Help, urgent!!!!! THANKS
THE FIRST ANSWER WILL BE MARKED THE BRAINLIEST, AND 20 POINTS!!!!!
Answer:
1.3 < x < 6.7
Step-by-step explanation:
4.0 - 2.7 = 1.3
4.0 + 2.7 = 6.7
Hope this helps!! <3
OC
Question B
Jim and Wendy Scott's home lot is illustrated here.
The Scotts which to hire a lawn service to cut their
lawn. M&M Lawn Service charges $0.03 per square
yard of lawn. How much will it cost for the Scotts to
have their lawn cut?
K
24
ft
Pool
$6,480
17
-200 ft-
mbell 40 ft
Patio
Shed
10 ft
Drive 30 ft
10 ft
10 ft
House-50 ft-25 ft 100 ft
8 ft
$ 58.392 will it cost for the area of Scotts to have their lawn cut.
What does area in math mean?
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.Area of pool = πr² = π(12)²= 452.4 ft²
area of house = 25 × 50 = 1250 ft²
area of ratio = 40 × 10 = 400 ft²
area of drive = 30 × 10 = 300 ft²
area of shed = 10 × 8 = 80 ft²²
total are all combined for above will be = 2482.4 ft²
total area of plot = 200 × 100 = 20000 ft²
lawn area = 20000 - 2482.4 = 17517.6 ft²
on converting ft² into yard²
lawn area = 17517.6 ft² = 1946.4 yard²
cost of each yard² = $0.03
then total cost = 1946.4 × $0.03
= $ 58.392
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Use the given domain to find the range of each function. F(x)=|x|, D={-4,0,-3}
Answer:
[tex]R=\{0,3,4\}[/tex]
Step-by-step explanation:
We can find the range by finding the set of values the function takes for each element in the domain.
[tex]F(-4)=|-4|=4 \\ \\ F(0)=|0|=0 \\ \\ F(3)=|3|=3 \\ \\ \therefore R=\{0,3,4\}[/tex]
The domain and the range of the function are
Domain, D = {-4,0,-3}Range, R = {4,0,3}Calculating the domain and range of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = |x|
The rule of a function is that
The domain is the x valuesThe range is the f(x) valuesUsing the above as a guide, we have the following:
Domain, D = {-4,0,-3}
Range, R = {4,0,3}
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When you draft a budget, you should include an _________________. This is extra money set aside to be used for unpredictable expenses, such as medical bills and vehicle repairs.
Group of answer choices
annual expenses
expense summary
fixed expenses
Emergency fund
Answer:When you draft a budget, you should include an _________________. This is extra money set aside to be used for unpredictable expenses, such as medical bills and vehicle repairs
Step-by-step explanation:
Are 12 17 and 14 19 determined ratio are proportional
No, 12 17 and 14 19 determined ratio are not proportional.
What are proportional ratios?If two ratios depict the same connection, they are said to be proportionate. By writing two ratios as fractions and then reducing them, one may determine if they are proportionate. Your ratios are proportional if the reduced fractions are equal.
We can observe that 17 and 19 are prime numbers,
So, 12 : 17 cannot be simplified further,
Neither 14 : 19 can be simplified.
⇒ 12 : 17 ≠ 14 : 19
∴ We can say that 12 17 and 14 19 determined ratio are not proportional.
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6t^2/5+11t^1/5+3=000
You didn't provide a lot of info regarding the given question, however if you are looking to solve for t:
_______________________________________________
Isolate the variable by dividing each side by factors that do not contain the variable.
Solution's Exact Form:
[tex]t=-\frac{1}{243},-\frac{243}{32}[/tex]
_______________________________________________
Hope this helps! If not, please provide further info if you can regarding this question and I'll see what else I can do to help. If this did help however, lmk! Thanks and good luck!
Can someone please help Find the perimeter of each
figure using the given side lengths?????????
The perimeter of the figure using the given side lengths is 12x - 10
What are perimeters?The perimeter of a shape is the sum of the side lengths of the shape.
For all regular quadrilaterals, you add up the side lengths to determine the area
How to find the perimeter of the figure using the given side lengths?From the given figure, we have the side lengths to be:
x, 2x + 5, 6x - 17 and 3x + 2
Add these side lengths
So, we have
Perimeter = x + 2x + 5 + 6x - 17 + 3x + 2
Evaluate the like terms
Perimeter = 12x - 10
Hence, the perimeter of the figure using the given side lengths is 12x - 10
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if it takes 6 men 25 hours to dig 5 holes, how many hours does it take to dig 5 holes with 10 men
Answer: Answer is 15 hours
Step-by-step explanation:Given 6 men dig 5 holes in 25 hours
Therefore 10 men will take to dig 5 holes is
workers(1) × time(1) = workers(2)×time(2)
(This formula is used when Total work is same)
where workers(1)= 6 men
Time (1) = 25 hours
workers (2) = 10 men
We have find out Time(2)=T(2)
by applying above formula
6×25=10×T2
after simplify
T2= 15 hours
2. Last week, Abe's carpet store sold 160 square feet of a particular carpet for $878.40. Bob's carpet store sold 85 square feet of the same carpet for $466.65
a. Is Cost proportional to area for this carpet? Show all relevant calculations and then explain your conclusion in a full sentence.
b. Answer ONE of the questions below depending on whether or not cost is proportional to area for this carpet
if cost is proportional to area, what is the cost of 118 square feet of carpet? Show your work. Use dimensional analysis
if cost is not proportional to area, which store has the better unit price for carpet explain your choice.
Consequently, the carpet's price is diversely correlated with its size. Then the cost of the carpet will be $647.82.
What are ratio and proportion?160 square feet of a certain carpet were purchased for $878.40 last week at Abe's carpet shop. The identical carpet, measuring 85 square feet, cost $466.65 at Bob's Carpet.
The cost of carpet per square foot in both cases will be
In the First case, we have
⇒ 878.40 / 160
⇒ $5.49 per square foot
In the second case, we have
⇒ 466.65 / 85
⇒ $5.49 per square foot
Consequently, the carpet's price is directly correlated with its size. Then the equation will be
Cost = 5.49 x Area
Then the cost of the carpet when the area is 118 square feet will be
Cost = 5.49 x 118
Cost = $647.82
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In the expansion of (1 + ax)24 where a > 0, the coefficient of x² is 1104. Find the value of a.
The required value of a is 2 if the coefficient of x² is 1104 of the expansion (1 + ax)²⁴.
What is the Binomial Theorem?According to the binomial theorem, it is possible to expand any non-negative power of binomial (x + y) into a sum of the form,
(x+y)ⁿ = ⁿC₀xⁿy₀ + nC₁ xⁿ⁻¹y₁ + nC₂ xⁿ⁻² y2 + ... + nC x¹yⁿ⁻¹ + nCn x°yⁿ
where n ≥ 0 is an integer and each ⁿCₓ is a positive integer known as a binomial coefficient.
We have been given that the expansion as
(1 + ax)²⁴
As per the binomial theorem expansion of the term 3,
T₃ = ⁿC₂ a² x²
Since the coefficient of x² = 1104
⇒ n!/2!(n-2)a² x² = 1104
Here n = 24
⇒ 24!/2!(24-2)a² = 1104
⇒ 276a² = 1104
⇒ a² = 1104/276
⇒ a² = 4
⇒ a = 2
Therefore, the required value of a is 2 if the coefficient of x² is 1104 of the expansion (1 + ax)²⁴.
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The tape diagram shows that shanice spent 120 minutes researching for debate club last week?
Time that is 100% of 120 minutes is 120 minutes.
Time that is 10% of 120 minutes is 12 minutes.
Time that is 110% of 120 minutes is 132 minutes.
What are the times?Percentage is the fraction of an amount that is usually expressed as a number out of hundred. In order to convert a number as a percentage, multiply the fraction of the number by 100. The sign used to represent percentages is %. Percentages are a measure of frequency.
Time that is 100% of 120 minutes = (100 / 100) x 120 = 120 minutes
Time that is 10% of 120 minutes = (10 / 100) x 120 = 12 minutes
Time that is 110% of 120 minutes = (110 / 100) x 120 = 132 minutes
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Answer: 100% of 120 is 120 Minutes
10% of 120 is 12 Minutes
110% of 120 is 132 Minutes
Step-by-step explanation:
There you go!
Determine a series of transformations
that would map Figure U onto Figure V.
i need help asap
Answer:
di ko maintindihan
Step-by-step explanation:
kase ala ako alam jan