Answer:
The distance between the two points is [tex]\sqrt{26}[/tex]
Step-by-step explanation:
The formula of the distance between two points (x1, y1) and (x2, y2) is
d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
∵ The points are (-1, 3) and (4, 2)
∴ x1 = -1 and x2 = 4
∴ y1 = 3 and y2 = 2
→ Substitute them in the formula of the distance above
∵ d = [tex]\sqrt{(4--1)^{2}+(2-3)^{2}}[/tex]
∴ d = [tex]\sqrt{(4+1)^{2}+(-1)^{2}}[/tex]
∴ d = [tex]\sqrt{(5)^{2}+1}[/tex]
∴ d = [tex]\sqrt{25+1}[/tex]
∴ d = [tex]\sqrt{26}[/tex]
∴ The distance between the two points is [tex]\sqrt{26}[/tex]
Two communication companies offer calling plans. With company x, it cost 35 cents to connect and then 5 cents for each minute.With company y, it cost 15 cents to connect and the 4 cents for each minute. Write and simplify an expression that represents how much more company x charges than company y, in cent, for n minutes
Answer:
34
Step-by-step explanation:
Subtract and divide
The amount of money company x charges than company y, in cent, for n minutes will be (20 + n) cents.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
With company x, it cost 35 cents to connect and then 5 cents for each minute.
And, With company y, it cost 15 cents to connect and the 4 cents for each minute.
Now,
Since, With company x, it cost 35 cents to connect and then 5 cents for each minute.
Hence, The cost for n minutes with company x is,
⇒ 35 + 5n
And, With company y, it cost 15 cents to connect and the 4 cents for each minute.
Hence, The cost for n minutes with company y is,
⇒ 15 + 4n
Thus, The amount of money company x charges than company y, in cent, for n minutes = 35 + 5n - (15 + 4n)
= 35 + 5n - 15 - 4n
= (20 + n) cents
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Thomas has finished 50% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?
Answer:
18
Step-by-step explanation:
If he has worked for 9 hours and its 50% done he has to work for 9 more hours to get it finished so he would have worked on it for 18 hours to get it totally finished
Thomas will take a total time of 18 hours to complete the entire project.
What is Percentage?Percentage of a number is the number of parts of that number in a total of 100. Percentage of a number is found by dividing the number with the whole and then multiply with 100.
Thomas has finished 50% of an art project that has taken him a total of 9 hours.
Let W be the work Thomas has to finish.
Quantity of work Thomas finished in 9 hours = 50% of W
= (50/100) × W
= 0.5W
Remaining work to complete = W - 0.5 W = 0.5W
Again he has to complete 0.5W of total work W which will take an additional 9 hours.
So the total time taken = 9 + 9 = 18 hours.
Hence the total time needed for Thomas to complete the work is 18 hours.
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Express 0.495 in standard form
Answer:
4.95 x 10^-1
Step-by-step explanation:
4.95 x 10^-1
Classify the polynomial by degree and number of terms.
2+3x^3-7x^3+10
Answer:
−4x^3+12
Step-by-step explanation:
2+3x^3-7x^3+10
simplify this
−4x3+12
Huilan's age is two times Thomas's age. The sum of their ages is 18. What is Thomas's age?
Answer:
Huilan is 12 and Thomas is 6
Step-by-step explanation:
Answer:
thomas is 6 years old
Step-by-step explanation:
if he is 6. 6x2=12 +6 =18
Y’all I need it by today please
Find the equation of the quadratic function y = ax^2+ bx + c which
passes through the points (-1, 9), (2, 3), and (5, 15).
Answer:
y=(x-1.5)^2+2.75
Step-by-step explanation:
Hope I could help!
What is 2/5 ÷ 1/10 = ?
3x −4 = 11 what is the answer
Answer:
x=5
Step-by-step explanation:
Answer:
the answer is x=5
The body mass of a bird?
A) categorical
B)Discrete
C)continuous
Answer:
Categorical
Step-by-step explanation:
The graph shows the heigh if a tree ever time. What can you reduce the rate of change to be from 2years to 4years
Answer:
the question sounds confusing but I believe you would reduce the time or the x value so that the years are reduced.
how do we find the value of y when x = 0
Answer:
both variables are just 0-
What is the area of a rectangle with a width of x2 + x + 1 and a length of
3x2 - 2x - 1?
Answer:
[tex]x^{4}[/tex] + 3x³ - 3x - 1
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = lw ( l is the length and w the width ) , thus
A = (3x² - 2x - 1)(x² + x + 1)
Each term in the second factor is multiplied by each term in the first factor, then
A = 3x²(x² + x + 1) - 2x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis
= 3[tex]x^{4}[/tex] + 3x³ + 3x² - 2[tex]x^{4}[/tex] - 2x² - 2x - x² - x - 1 ← collect like terms
= [tex]x^{4}[/tex] + 3x³ - 3x - 1
which model represents 1/3
Answer:2nd one because 2/6=1/3
Step-by-step explanation:
What set of transformations could be applied to rectangle ABCD to create A'B'C'D'?
Answer: C :>
Step-by-step explanation:
Answer:
the answer is number 3
How much is 2% of 3.50
Answer:
.07
Step-by-step explanation:
3.50 * 2% = .07
or
3.50 * .02 = .07
A hot air balloon was flying at an altitude of 150 meters when the pilot decided to land by descending at a rate of 3 yards per second . For which of these functions does y represent the altitude of the hot air balloon represents the number of seconds since the pilot started her landing ? A.y=-3x+150 B. y=-3x-150 C.y=3x+150 D.y = 3x - 150
Answer:
A
Step-by-step explanation:
y = -3x + 150
I hope this is right.
Can someone explain to me how to get the answer:
-3 |2d| = 12
-3×2d=12
-6d=12
d=12÷(-6)
then d= -2Hope this helps.
brainliest if correct1+1
Answer:
11
Step-by-step explanation:
:>
Answer:
1+1=2 is the answer
Step-by-step explanation:
mark me as brainlist
Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined?
Answer: (h)q^3
Step-by-step explanation:
Can somebody plz answer this math problem correctly thanks!
WILL MARK BRAINLIEST :D
Answer:
Ellen and Blake answered 20 questions correctly since Ellen had 0.8 correct and that is 80% same with Blake
Stephen scored a .84 or an 84%
I hope this helps :)
Step-by-step explanation:
plz mark B R A I N L I E S T
Answer:
Stephen: 21
Ellen: 20
Blake: 20
Step-by-step explanation:
If youre looking for more in depth answers:
Stephen received a 21 / 25 (84%)
Ellen received a 20 / 25 (80%)
Black received a 20 / 25 (80%)
5. The price of a new gym bag is $37.00 plus 8% sales tax. What is the sales tax on this gym
bag in dollars and cents?
Answer:
$25.00 which is $24.50
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): Dot was discarded near "x.s".
(2): "37." was replaced by "(37/1)".
Unauthorized use of the imaginary unit "i" or syntax error in complex arithmetic expression
plzzz help me with this
Jack’s car used 18 gallons of gasoline to go 468 miles. At that rate, how many gallons would be used to go 754 miles? Explain how you know.
Answer:
29 gallons.
Step-by-step explanation:
For every gallon, a total number of 468/18 miles = 26 miles could be travelled.
And hence, to travel 754 miles, a total of 754/26 gallons = 29 gallons would be needed.
Hope this helped!
Expand the expression 2(y + 5x)
Answer:
2y+10x
Step-by-step explanation:
distribute the 2 into the rest of the equation
:P HELLLP what is (13x20)5+6 = ___ - 1/3.
Answer: 1304.7
Step-by-step explanation: just took test
if there are 250 fish in the lake and 50 more are added each year, write a linear equation
A rule for creating a pattern is given below. Rule: Multiply X by 3. Then subtract 1 from the result to get y.
Answer:
y=3x-1
Step-by-step explanation:
Evaluate the step function for the given input values.
-4, -35 x < -1
-1, -1sx<2
g(x) =
3, 25x< 4
5, x 24
9(2) =
g(-2) =
g(5) =
Answer:
I would, but the way this is set up is VERY confusing. sorry. maybe try to fix it after copying and pasting to make sure it makes sense.
The evaluated values of the step function for the given input values are as g(-2) = -4, g(2) = 3, and g(5) = 5.
To evaluate the step function g(x) for the given input values, we need to follow the conditions specified for each interval.
Given the step function:
g(x) =
-4, x < -1
-1, -1 ≤ x < 2
3, 2 ≤ x < 4
5, x ≥ 4
Let's evaluate the step function for each input:
g(-2):
Since -2 is less than -1, the condition for the first interval is satisfied. Therefore, g(-2) = -4.
g(2):
Since 2 is less than or equal to 4, the condition for the second interval is satisfied. Therefore, g(2) = 3.
g(5):
Since 5 is greater than or equal to 4, the condition for the last interval is satisfied. Therefore, g(5) = 5.
Hence, we have:
g(-2) = -4
g(2) = 3
g(5) = 5
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If Tamair has $100 & gives $40 to her best friend Tsion, but Tsion gives $20 to Tamair, how much money does Tamair have left?
A) 90
B) 80
C) Tamair is broke
D) Tsion is broke
Answer:
B) 80
Step-by-step explanation:
Thats my bestie so dont mess with her or its gonna be a problem
What is the discriminate?