What is the distance, d, between the points (2,5/2) and (8/3,1)?
Enter your answer in the box. Enter your answer in simplest radical form.
Answer:
um 3 5/4
Step-by-step explanation:
The distance, d, between the points (2,5/2) and (8/3,1) will be; 1.6415 units.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²]
So, we will use the distance formula:
Let (2, 5/2) be (x₁, y₁) and let (8/3, 1) be (x₂, y₂).
Now Substitute:
D = √[(1 - (5/2))² + (8/3 - 2)²]
Evaluate the expressions within the parentheses;
D = √[(1 - (5/2))² + (8/3 - 2)²]
D = √[(-3/2)² + (2/3)²]
Evaluate:
D = √[9/4 + 4/9]
Square:
D = √97/6
Hence, the distance, d, between the points (2,5/2) and (8/3,1) will be; 1.6415 units.
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PLEASEE HELP ME AS FAST AS POSSIBLE! According to the fundamental theorem of algebra, how many solutions does this polynomial have?
Btw sorry about the bad lighting
2, because there are 2 different factors with x in it.
x could be 0, or 4.
Hope this helps
The number of the solution of the polynomial is 2. And the solutions of the polynomial are 0 and 4.
What is polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomial is given below.
y = 3x(x - 4)
The factors of the polynomial are 3x and (x - 4).
For the solution of the polynomial, put each factor equals to zero.
Then the solution of the polynomial will be
3x = 0
x = 0
x - 4 = 0
x = 4
The number of the solution of the polynomial is 2.
And the solutions of the polynomial are 0 and 4.
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A high-performance composite flywheel rotor can spin anywhere between 30,000 and 100,000 revolutions per minute. What
is the range of degrees through which the composite flywheel can travel in a minute? Write your answer in scientific
notation.
Answer:
Step-by-step explanation:
1 revolution will equal 360 degrees
Because of that 30,000 revolution would be 10,800,000 degrees
100,000 rev would equal 36,000,000 degrees
The range through which the composite flywheel rotates in one minute be denoted by ' F ' . (1.08 x 107)° F (3.6 x 107)°
The range of degrees the composite flywheel can travel in a minute is 2.52 × 10⁷ degrees/minute.
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
The range of revolutions per minute for the rotor is from 30,000 to 100,000, which means that the rotor can spin a total of 70,000 revolutions per minute (100,000 - 30,000 = 70,000).
To find the range of degrees through which the composite flywheel can travel in a minute, we need to multiply the range of revolutions by the number of degrees in one revolution.
A full revolution is 360 degrees, so the composite flywheel can travel in a minute :
70,000 revolutions/minute × 360 degrees/revolution = 25,200,000 degrees/minute
This can be written as 2.52 × 10⁷ in scientific notation.
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Round 555 to nearest 10
Answer: 600
Step-by-step explanation: 555
The five in the tens place is equal to 5
To round to the nearest tens place the number has to be 5 or more than 5
divide 8/10 ÷ 1 5/6 and put it in its simplest form
Answer
24/55 as a fraction
The solution of the given equation is 24/55
What is Division method?
Division method is used to distributing a group of things into equal parts.
Given that;
The equation is,
8/10 ÷ 1 5/6
Now,
Solve the expression as;
= 8/10 ÷ 1 5/6
= 8/10 ÷ 11/6
= 8/10 x 6/11
= 48/110
= 24/55
So, The solution of the given equation is 24/55.
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Can someone help me out ? Please ?
Answer:B
Step-by-step explanation:mark me as brainliest
-1/6 + -3/7 =
Please need answers ASAP and please explain how to do it as well thanks
Answer:
-25/42
Step-by-step explanation:
you need to make the denominators equal, so find a number that is divisible by both 6 and 7 (i chose 42 because it’s the first number that comes to mind) you then multiply the numerator by the same number.
so -1/6 is multiplied by 7 on top and bottom to become -7/42, and -3/7 is multiplied by 6 of top and bottom to become -18/42.
then you add them together and you get -25/42
if possible you would simplify but for this one it’s not :)
Answer:
Negative Twenty Five over Forty Two.
Step-by-step explanation:
Hey, It looks like you just have to add two fractions. i.e Negative One Sixth (-1/6) and Negative Three Seventh (-3/7).
First Step: Make the denomimators the same.
-1/6 will become -7/42
-3/7 will become -18/42
Second step: Add the two fractions.
-7/42 + -18/42 = -25/42
So there is your answer: -25/42
Suppose that you borrow $11000 for 4 years at 6% toward the purchase of a car. Find the monthly payments and the total interest for the loan.
Answer:
The monthly payments ≅ $258.335
The total interest of the loan ≅ $1400.095
Step-by-step explanation:
The rule of the monthly payments is
[tex]M.P=\frac{P(\frac{r}{n})}{1-(1+\frac{r}{n})^{-nt}}[/tex] , where
P is the initial amountr is the rate in decimaln is the period in a yeart is the number of years∵ You borrow $11000
∴ P = 11000
∵ It will be for 4 years
∴ t = 4
∵ The rate is 6%
∴ r = 6% = [tex]\frac{6}{100}[/tex] = 0.06
∵ It is a monthly payment
∴ n = 12
→ Substitute these values in the rule above
∴ [tex]M.P=\frac{11000(\frac{0.06}{12})}{1-(1+\frac{0.06}{12})^{-12(4)}}[/tex]
→ Use your calculator to find the answer
∴ M.P = 258.3353195
∴ The monthly payments ≅ $258.335
→ The total interest of the loan is the difference between the total
of the monthly payments and the initial amount
∴ The total interest of the loan = T.M.P - P
∵ The total of the monthly payments = M.P × t × n
∴ The total of the monthly payments = 258.3353195 × 4 × 12
∴ The total of the monthly payments = $12400.09534
∵ The initial amount P = $11000
∴ The total interest of the loan = 12400.09534 - 11000
∴ The total interest of the loan = 1400.095
∴ The total interest of the loan ≅ $1400.095
Which inequality is graphed below?
Answer:
the first one
x is greater than or equal to - 4
Step-by-step explanation:
A plane begins its takeoff at 2:00 P.M. on a 1700-mile flight. After 11.5 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 100 miles per hour.
Answer:
turbulance
Step-by-step explanation:
What is the measurement of MJL ??
1. What is the surface area of the polyhedron? Explain your reasoning.
Answer:
24
Step-by-step explanation:
i counted the square me good at counting
The graph of the function y=f(x) is shown below. What are the values of a,b,c, and d in the definition of f(x) below?
9514 1404 393
Answer:
(a, b, c, d) = (2, -3, -2, 2)
Step-by-step explanation:
The horizontal segment where y=3 extends from x = -2 to x = 2. These are the values of c and d, respectively.
The slope of the left piece is up 2 for over 1, so is 2/1 = 2, the value of a.
The slope of the right piece is down 3 for over 1, so is -3/1 = -3, the value of b.
So, we have ...
a = 2b = -3c = -2d = 2helppp me please!!!
Answer:
18 hdhb
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
21/1 x 6/7
21 x 6 = 126
1 x 7 = 7
126 / 7 = 18
Does anyone know the answer to the question
Answer:
The root of that equation are -1 -4 and 5
so the equation is (x -5) * (x +1) * (x +4)
(I may have that wrong and the answer MIGHT be:
(x -+5) * (x -1) * (x -4)
So, you have 2 answers and I KNOW 1 of those is correct. :-)
Step-by-step explanation:
Which of the following best represents an elevation of 0 feet? A. a mountain top B. a beach C. a sea trench
Answer:
the answer is b) The beach
Answer:
b
Step-by-step explanation:
it's obious
Irina ran 0.25 mile in 2 minutes. At this rate, how many minutes will it take her to run 2 miles?
Enter the correct answer in the box.
Answer:
16
Step-by-step explanation:
2/0.25 = 8
2 x 8 = 16
Please help with this math problem!!!!! ASAP please thanks! The photo is attached
Answer:
The answer will be the 2nd answer!
Step-by-step explanation:
Your Welcome!!
On a number line, which fraction would be to the right of 1/2?
A) 2/12
B) 1/3
C) 10/20
D) 16/25
Answer:
C. I hope this helps! Have a great day.
the price of 41gram apple is 10.25 rupees.then how many rupees for 1 kg apple
Answer:
Rs. 250
Step-by-step explanation:
The price of 41 g. apple is Rs 10.25
The price of 1 g. apple is Rs 10.25/41, = Rs 0.25
The price of 1 Kg (1000 g.) is 0.25 x 1000 = Rs 250
Solve the system of linear equations by graphing. x+y=27
y=x+3
Answer:
X=12 Y=15
Step-by-step explanation:
X+Y=27 (1)
Y=X+3 (2)
substitute (2) into (1)
X+X+3=27
2X=24
X=12
substitute X=12 into (2)
Y=12+3
Y=15
The solution to the problem as shown in the graph is at A(12, 15):
A linear equation is in the form:
y = mx + b;
where m is the slope, b is the y intercept and y, x are variables.
Given the linear equations:
x + y = 27
y = x + 3
Plotting the equations using Geogebra online graphing tool, the solution to the problem as shown in the graph is at A(12, 15):
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Can u help me asap please
Answer:
It is for sure a rational # , and whole #, but possibly also a natural#
Step-by-step explanation:
Cheryl has $100 on her subway gift card. Each week she buys the same lunch for $10. She wants to continue using the card until the balance remaining is $40. Write an equation to represent the situation
Answer:
100-60=40
Step-by-step explanation:
Answer:
In 6 weeks she will have $40.
Step-by-step explanation:
$100 - $10 - $10 -$10 - $10 - $10 - $10.
Or $100 - $60.
Which of the following is an obtuse triangle?
Triangle A
Triangle B
Triangle C
Triangle D
Answer:
triangle B
Step-by-step explanation:
It is the only triangle with an angle wider than 90
Solve the following quadratic equation by factorising: 15x^2 + 2x - 8 = 0
Solve: 5x - 14 = 8x + 4
whats 10 to the power of 9 as a decimal
Answer: 1,000,000,000
10⁹ cannot be written in decimal form.
Plz mark brainliest:)
Can a decimal that has repeating digits after the decimal point be converted into a fraction?
Answer:
yes, because you need to convert the repeating number into a decimal. In this case, you can assume that x is the fraction form of 0.7 repeating.
Answer:
yes I think so ...................
What is the place value of 7 in 0.724 rounded.
The place value of 7 in 0.724 = 7 tenths or 7/10 or 0.7
The place value of 2 in 0.724 = 2 hundredths or 2/100 or 0.02
The place value of 4 in 0.724 = 4 thousandths or 4/1000 or 0.004
Therefore , the place value of 7 in 0.724 is 7 tenths or 7/10 or 0.7 ( as all are the same ) .
Evaluate:
54 - 75 + 81 - (-27) + 53