Answers
Answer:
Step-by-step explanation:
D
The distance between points is √65.
What is distance?The length of the line that connects two points is the distance between them. The distance can be determined by subtracting the coordinates that are not the same if the two points are on the same horizontal or vertical line.
The distance formula is used in analytic geometry to determine the distance between two lines, the sum of the lengths of all sides of a polygon, the perimeter of polygons on a coordinate plane, the area of polygons, and a variety of other measurements.
Given coordinates
R(5, 7) and S(-2, 3)
to find the distance between
the formula of distance for coordinates is
d = [tex]\sqrt{(y_{2} - y_{1} )^{2} + (x_{2} - x_{1} )^{2} }[/tex]
here y₂ = 3, y₁ = 7
x₂ = -2, x₁ = 5
substitute value in equation we get
d = [tex]\sqrt{({3 - 7 )^{2} + (-2 - 5 )^{2} }[/tex]
d = [tex]\sqrt{({-4 )^{2} + (-7 )^{2} }[/tex]
d = √(16 + 49)
d = √65
Hence the distance is √65.
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Related Questions
what is the rate of change for the function y= 5x+ 25
Answers
Answer:
5
Step-by-step explanation:
rate of change = slope = 5
how do you solve this
(-4) + (+6)
Answers
Answer:
2
Step-by-step explanation:
-4+6=
6-4=
2
The vertices of a triangle are (3,5), (-7,4) and (10,-2) then, what are the coordinates of the point of intersection of 3 medians of triangle?
Answers
Answer:
Step-by-step explanation:
Step 1: Identify the coordinates of each vertex. Step 2: Add all the x values from the three vertices coordinates and divide by 3. Step 3: Add all the y values from the three vertices coordinates and divide by 3. Step 4: Determine the centroid coordinate.
Henry Uploaded the photos birthday to a cloud storage system. He feels that it's a safe option for data storage. His friend suggested that there Maybe a disadvantage to cloud storage. Which disadvantage is Henry's friend referring to?
Answers
Answer:
Henry's friend referring to the disadvantage of Privacy.
Step-by-step explanation:
The main disadvantage of cloud storage is:
Your data is no longer in your physical storage while you are using a cloud service. So, who is responsible for ensuring that information is secure? This is a grey field which is still being worked out.
So, Henry's friend referring to the disadvantage of Privacy.
Answer:
E. The data is not under the owner’s direct control.
Step-by-step explanation:
took the test and got it right :)
I need right answers!! Now!!
Answers
Answer:
c. the answer is c ........
Answer:
ccccccc
Step-by-step explanation:
tissydydydydtdhfyfucuc
A laundry basket has 24 t-shirts in it. Four are navy, twelve are red and the remaining are white. What is the probability of not selecting a red shirt? *
Answers
Answer:
50%
Step-by-step explanation:
Identify the population of shirts that are *NOT red.* In this case 12 are red. This means that 12 shirts are *not red.* 12/24 = .5 or 50% probability.
What is the value of x. 4x-10 3x+2 5x-22
Answers
Answer:
X=35
Step-by-step explanation:
6X =45 SO ANSWER TO THE QUESTION IS 35
Express the ratio in it's simplest form:
4n/n^2
Answers
Simplify the expression.
4/n
Convert the following repeating decimal to a fraction in simplest form.
.3
Answers
Answer:
1/3
Step-by-step explanation:
When you divide 1 by 3, you get .3 repeating.
What is 8 less than x.
Write the expression that represents this phrase
Answers
Answer:
so it is because it has
Step-by-step explanation:
a good explanation
The auditorium holds 200 people. Tickets cost $12 at the door and $8.50 if purchased in advance. The Honor Society has a goal of selling at least $1000 worth of tickets to the show.
Write a system of inequalities that can be used to model this scenario.
If 50 tickets are sold in advance, what is the minimum number of tickets that must be sold at the door so that the club meets its goal?
Answers
Answer:
they have to sell 575 tickets so they could reach their goal.
Work out the area of a rectangle with base,
b
= 15mm and height,
h
= 12mm
Answers
Answer:
15x12=180mm
Step-by-step explanation:
A student examines the triangle shown above. He notices that lines BE andCD look parallel. The student claims that they are parallel by look aLone ?
Answers
PLZ help i do not get this
Answers
5(-1x+5)=10 pls help
Answers
Answer:
-5x+5=10
-5x=10-5
-5x=5
x=-5/5
x=-1
Step by step
5 ( –1x + 5) = 10
(1) Distribute
= – 5x + 25 = 10
(2) Subtract 25 from both sides of the equation
= –5x + 25 -25 = 10 – 25
(3) Simplify
= –5x = – 15
(4) Divide both sides of the equation by the same factor
= –5x/–5 = –15/ –5
(5) Divide the number
= x = –15/–5
Answer: x = 3
True or False, The value pi/12 is a solution for the equation 4 cos^2(4x)-3=0
Please explain
Answers
Answer:
Yes, π/12 is a solution.
Step-by-step explanation:
Calculator --> sin(π12)=sin15∘=0.26 . √2−√32=√0.272=0.522=0.26 . Uhmm... i dont rlly know how to explain it.. its complicated for me to word it without making it non confusing.
The statement 'The value [tex]\frac{\pi}{12}[/tex] is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
We have been given an equation [tex]4~cos^2(4x)-3=0[/tex]
We need to check whether [tex]\frac{\pi}{12}[/tex] is a solution for the equation.
Substitute [tex]x=\frac{\pi}{12}[/tex] in equation [tex]4~cos^2(4x)-3=0[/tex]
[tex]\Rightarrow 4~cos^2(4\frac{\pi}{12} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\pi}{3} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\sqrt{3} }{4} )-3=0\\\\\Rightarrow 4~\frac{3}{4}-3=0\\\\ \Rightarrow 3-3=0\\\\\Rightarrow 0=0[/tex]
This means, [tex]\frac{\pi}{12}[/tex] is a solution of the equation [tex]4~cos^2(4x)-3=0[/tex]
Therefore, the statement 'The value [tex]\frac{\pi}{12}[/tex] is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.
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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Quinn likes to knit hats and mittens for friends and family. Last fall, she knitted 4 hats and 3 pairs of mittens, which took a total of 56 hours. This fall, she knitted 3 hats and 1 pair of mittens, which took a total of 27 hours. If each hat and each pair of mittens takes the same amount of time to knit, how long does it take Quinn to knit a hat and a pair of mittens?
Answers
Answer:
hats = 5
mittens = 12
Step-by-step explanation:
hats = h
mittens = m
Uknown:
- How many hours per hats
- How many hours per mittens
Known:
- How many hours in total
- How many pairs of mittens made
- How many pairs of hats made
4h + 3m = 56
3h + 1m = 27
3h + m = 27
m = -3h + 27
4h + 3m = 56
4h + 3(-3h + 27) = 56
4h - 9h + 81 = 56
-5h = 56 - 81
-5h = -25
-5h/5 = -25/5
-h = -5
-h/-1 = -5/-1
h = 5
3h + m = 27
3(5) + m = 27
15 + m = 27
m = 27 - 15
m = 12
Check: h = 5, m = 12
4h + 3m = 56
3h + 1m = 27
4h + 3m = 56
4(5) + 3(12) = 56
20 + 36 = 56
56 = 56
3h + 1m = 27
3(5) + (12) = 27
15 + 12 = 27
27 = 27
im stuck on this question i need help
Answers
Select all factors of the following polynomial: 5p3 + 45p2 + 40p
Answers
Answer:
[tex]\huge\boxed{5p;\ (p+1)}[/tex]
Step-by-step explanation:
[tex]5p^3+45p^2+40p=5p(p^2+9p+8)=5p(p^2+p+8p+8)\\\\=5p\bigg[p(p+1)+8(p+1)\bigg]=5p(p+1)(p+8)\\\Downarrow\\\boxed{5p};\ \boxed{(p+1)};\ \boxed{(p+8)}[/tex]
the factors for the given expression are
[tex]5p, p+1, p+8[/tex]
Given :
Given expression is [tex]5p^3 + 45p^2 + 40p[/tex]
Lets factor the given trinomial by factoring out GCF that is greatest common factor
Lets find out GCF from the given expression
all the terms are divisible by 5 and also we have 'p' in common
so GCf is 5p
[tex]5p^3 + 45p^2 + 40p\\5p\left(p^2+9p+8\right)\\[/tex]
Now we factor [tex]\left(p^2+9p+8\right)[/tex]
Product is 8 and sum is 9
So factors are 8 and 1
[tex]5p\left(p^2+9p+8\right)\\5p\left(p+1\right)\left(p+8\right)[/tex]
So the factors are
[tex]5p, p+1, p+8[/tex]
Learn more : brainly.com/question/20127500
What property does
(3 + 19) – 12 = 3 + ( 19 – 12)
represent?
Answers
Answer:
associative property
Step-by-step explanation:
The graph of g(x) goes through the point (-4, 1) and is parallel to h(x) = 5x - 2 points
8. Determine the symbolic representation of g(x). Express your answer in
slope intercept form. *
Answers
Answer:
[tex]g(x)=5x+21[/tex]
Step-by-step explanation:
The slope of g(x) is 5 because the slope of h(x) is 5 and g is parallel to h.
In point-slope form:
[tex]g(x)-1=5(x+4)[/tex]
Rearranging for slope intercept form:
[tex]g(x)-1=5x+20\\g(x)=5x+21[/tex]
Looking at the problem what’s the difference between the two highlighted please I’m Russian and don’t understand English every well
Answers
Answer: Разница между ними восемь
Step-by-step explanation:
From 1997 - 2001 the number n (in millions) of black-and-white TV S sold in the U.S. Can be modeled by n = 26.8 * (0.85) ^ t where t is the number of years since 1997.
Answers
Question
a) What is the decay factor?
b) What is the percent decrease?
c) Estimate the number of black and white TV's sold in 1999.
Answer:
a. Decay factor = 0.85
b. Percent decrease = 15%
c. 19.363 million TVs were sold
Step-by-step explanation:
Given
[tex]n = 26.8(0.85)^t[/tex]
Solving (a): The decay factor
An exponential function has the form
[tex]y = ab^x[/tex]
Where b is:
[tex]b = decay\ factor\ or\ growth\ factor[/tex]
By comparison:
[tex]b = 0.85[/tex]
Solving (b): Percentage decrease:
Percentage decrease P is calculated as follows:
[tex]P = 1 - b[/tex]
Substitute 0.85 for b
[tex]P = 1 - 0.85[/tex]
[tex]P = 0.15[/tex]
Convert to percentage
[tex]P = 0.15*100\%[/tex]
[tex]P = 15\%[/tex]
Solving (c): TVs sold in 1999
First, we need to determine the value of t for 1999
In 1997, t= 0
In 1998, t= 1
In 1999, t= 2
So, we substitute 2 for t in: [tex]n = 26.8(0.85)^t[/tex]
[tex]n = 26.8(0.85)^2[/tex]
[tex]n = 26.8*0.7225[/tex]
[tex]n = 19.363[/tex]
Write an equation of the line with a slope of -4 and a y-intercept of 2.
Answers
Answer:
Step-by-step explanation:
-4 x y-= 2
Please help! I don't get it cause the person that was teaching it had horrible handwriting ;-;
Answers
Answer: power of a power
Step-by-step explanation:
in the expression (x^4)^9, 4 and 9 are powers. 9 is the power of x^4, so you have to multiply 4 by 9 to get x^36. this means it's a power of a power
A marching band sold 350 tins of popcorn for $8 each. Each tin cost the
band $4. How much money did the band make?
$ 1.400
$700
$350
$4.200
Answers
Answer:
The band made $1,400
Step-by-step explanation:
8-4=4
350*4=1,400
How many miles can a car travel on 15 gallons of gas if it travels 28 miles on 1 gallon of gas?
A. 43 miles
B. 270 miles
C. 405 miles
D. 420 miles
Answers
Answer:D is the answer
Step-by-step explanation:
7(p+q+9) pleaseee answer I need it done by today
Answers
Answer:
7p+7q+63
hope it helps.
Aidan will roll a fair 10-sided number die showing the numbers 1 – 10.
If Aidan rolls the number die exactly 300 times, which statement is the best
prediction about the outcome?
A. Aiden should expect a multiple of 3 to be rolled 100 times.
B. Aiden should expect a 2 to be rolled 60 times.
C. Aidan should expect a multiple of 2 to be rolled 150 times.
D. Aiden should expect a 4 to be rolled 75 times.
Answers
Answer:
Aiden should expect a multiple of 2 to be rolled 150 times.
Step-by-step explanation:
300 can be divided evenly 2 times.
Solve for x
54 = 9(x+3)
Answers
Answer:
x=3
Step-by-step explanation:
54=9(x+3)
54=9x+27
27=9x
3=x
hope this helps! let me know if you have any questions abt how i solved