Answer:
For any natural number m, we know that
2m, \mathrm{m}^{2}-1, \mathrm{m}^{2}+1m
2
−1,m
2
+1 is a Pythagorean triplet.
i. 2m = 6
\begin{array}{l} \Rightarrow \mathrm{m}=\frac{6}{2}=3 \\ \mathrm{m}^{2}-1=3^{2}-1=9-1=8 \\ \mathrm{m}^{2}+1=3^{2}+1=9+1=10 \end{array}
⇒m=
2
6
=3
m
2
−1=3
2
−1=9−1=8
m
2
+1=3
2
+1=9+1=10
∴ (6, 8, 10) is a Pythagorean triplet.
ii. 2m = 14
\begin{array}{l} \Rightarrow \mathrm{m}=\frac{14}{2}=7 \\ \mathrm{m}^{2}-1=7^{2}-1=49-1=48 \\ \mathrm{m}^{2}+1=7^{2}+1=49+1=50 \end{array}
⇒m=
2
14
=7
m
2
−1=7
2
−1=49−1=48
m
2
+1=7
2
+1=49+1=50
∴ (14, 48, 50) is not a Pythagorean triplet.
iii. 2m = 16
\begin{array}{l} \Rightarrow \mathrm{m}=\frac{16}{2}=8 \\ \mathrm{m}^{2}-1=8^{2}-1=64-1=63 \\ \mathrm{m}^{2}+1=8^{2}+1=64+1=65 \end{array}
⇒m=
2
16
=8
m
2
−1=8
2
−1=64−1=63
m
2
+1=8
2
+1=64+1=65
∴ (16, 63, 65) is a Pythagorean triplet.
iv. 2m = 18
\begin{array}{l} \Rightarrow \mathrm{m}=\frac{18}{2}=9 \\ \mathrm{m}^{2-1}=9^{2}-1=81-1=80 \\ \mathrm{m}^{2}+1=9^{2}+1=81+1=82 \end{array}
⇒m=
2
18
=9
m
2−1
=9
2
−1=81−1=80
m
2
+1=9
2
+1=81+1=82
∴ (18, 80, 82) is a Pythagorean triplet
Step-by-step explanation:
For any natural number greater than 1,(2m,m
2
−1,m
2
+1) is Pythagorean triplets.
So, if one number is 2m, then another two numbers will be m
2
−1 and m
2
+1.
Given, one number = 4
Then Pythagorean triplets:
2m=4 or m = 2
So,
m
2
−1=(2)
2
−1=4−1=3
m
2
+1=(2)
2
+1=4+1=5
Now, (3)
2
+(4)
2
=(5)
2
Or 9 + 16 = 25.
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1
14. A student walks
mile from her home to the store on her way to a
1
friend's house. If the store is of the way to her friend's house, how
3
far is her friend's house from her home?
Answer:
4 miles
Step-by-step explanation:
the store is one mile, her friend is 3 miles from the store.
Neil change the oil in his vehicle the car requires 6 quarts of oil if Neil wants to change his or every month for a year how many quarts of oil will Neil need?
Answer:
72 quarts
Step-by-step explanation:
1 year = 12 months, and Neil changes the oil each month, and each month he uses 6 quarts of oil. So, the number of quarts he will need for a year is
6 + 6 + ... + 6, twelve times, which equals 12(6) = 72 quarts.
Wesley willed his estate to Margaret,
no b Betty Jo, and Johnny. He gave Margaret
$20,000. Betty Jo got 22 times as much as
Margaret. Johnny got 32 times as much
as Margaret. What was the total value of
the estate?
Answer:
1,100,000
Step-by-step explanation:
20000 + 22(20000) + 32 (20000)= 55 (20000)= 1,100,000
Answer:
1,100,000
Step-by-step explanation:
Help solve
−3'3(2 − 4 + 5)
2( − 3 + 4) − 3(2 − + 7)
Answer:177
Step-by-step explanation: -3'3(2+1) 2(1)-3(-5)
=-27(3) ×-2 +15
=-81×(-2)+15
=162+15
=177
Select the situation that have a unit rate equivalent to 3 units to 1 unit
Answer:
A gardener harvested 15 tomatoes from 5 plants
androy12 answer na dito
Answer:
hindi ko po kilala yan
Step-by-step explanation:
pero salamat sa points ☺️☺️
Select the reason that best supports statement 5 in the given proof.
A.Substitution
B. Multiplication
C. Addition property of equality
D.Transitive property
The reason that best supports statement 5 in the given proof is Substitution.
What is Number system?A number system is defined as a system of writing to express numbers.
In the given question -
The first reason is given in the question itself.
The second reason is given by congruency.
The third reason is again given in the question.
The fourth reason is also given.
Finally, in the fifth reason, we can conclude that it is substitution because by the second reason m of ∠A is congruent to m of ∠B. So, if we remember the substitution we can assign the value of m∠A to the value of m∠B because both are congruent by the second reason.
Therefore, the reason that best supports statement 5 in the given proof is Substitution.
To learn more on Number system click:
https://brainly.com/question/22046046
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3-3-2-2-2 written as a whole number
Answer:
I think this would be 33,222 I don't know I feel positive about this.
Step-by-step explanation:
Đề bài sau dùng cho 3 câu từ câu 1 đến 3
Doanh thu (triệu đồng) 830 900 950 1.020 1.200
Số cửa hàng 15 25 30 20 10
1. Doanh thu bình quân của các cửa hàng là:
a. 980,0 b. 958,5 c. 950,0 d. 980,6
2. Trung vị về doanh thu là:
a. 900 b. 950 c. 958 d. 925
3. Mốt về doanh thu là:
a. 900 b. 950 c. 1.020 d.
Answer:
Step-by-step explanation:
Which of the following choices represents the number six and twelve-hundredths in decimal numbers?
Answer:
6.12
Step-by-step explanation:
Six is 6
Twelve-hundredths is .12
6 + .12 = 6.12
What is the alibraic equation to 32 ÷ 1.60
i need help asap if u will i will give 100 points to do asap
Answer:
The answer is 20
Answer:
19⋅2(3 third power)/5 =30 5/2 =30.4
Step-by-step explanation:
please help me with this sum
Hello there!
4,968:8=621
3,960:6=660
2,728:4=682
1,584:2=792
2,527:7=361
2,586:3=862
4,205:5=841
8,550:9=950
2,200:4=550
1,923:3=641
Hope this helps you!
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A traveler can choose from 4 airlines, 10 hotels and 5 rental car companies. How many arrangements of these services are possible?
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
should be 40
1.6[3(5(2))-5]
1.6[30-5]
1.6[25]
40
Find the properties of the parabola with the equation (x - 1)^2 = (y - 1). Leave answers in fractional form.
Directrix
y = 5/4
x = 3/4
y = 3/4
Answer:
B
Step-by-step explanation:
I hope i helped and ur welcome
1240 at 8% compounded annually for 3 years
Answer:
1562.05
Step-by-step explanation:
A = P(1 + r/n)^(n*t)
A = 1240(1 + 0.08/1)^(3*1)
A = 1562.04288
A = 1562.05
Which side in the figure on the right corresponds to segment QS?
What is the scale factor?
See the picture
Please help
100 points and brainliest if you answer all 48 question fast hurry and no link and no wrong answer
Answer:
D = 26°
Step-by-step explanation:
Opposite Angle Theorem
Answer:
There are no 48 questions but the answer to this one I think is the 4th choice
(my opinion)
Step-by-step explanation:
Please help me... it would be great!
3) 1 1/2 gallons for 3/4 of the room
Answer; 2 gallons for 4/4 of the room
4) 12 1/2 gallons drives 325 miles
Answer; 1 gallon drives 26 miles
what's the answer for this? CLASS 6 MATHS I NEED HELP ASAP!!!
Answer:
20:
3 5/12 or 41/12
21:
-9 5/8 or -77/8
PLZ HELP IM TIMEDDDDDDDDDDDDD Which values of a, b, and c correctly complete the division?
1/4 divided by 5/6=1/a x b/c
Answer is:
a=4, b=6 c=5
Eight more than the difference of −5s and −6s is equal to the sum of 3 and 7
Answer:
s=2
Step-by-step explanation:
-5s + 6s + 8 = 3 + 7
s + 8 = 10
s + 8 - 8 = 10 -8
s = 2
what is the first digit in the quotient of 1,898 divided by 9
9514 1404 393
Answer:
0
Step-by-step explanation:
The first digit of the quotient is 0. This is because the first digit of the dividend (1) is less than the divisor (9).
See the attached image for the complete long division.
__
The first non-zero quotient digit is 2 = 18/9.
hi pls help me!!! thank you
Step-by-step explanation:
Circumference (C):
[tex]C = 2\pi r = 2\pi(5\:\text{ft}) = 31.4\:\text{ft}[/tex]
Area (A):
[tex]A = \pi r^2 = \pi(5\:\text{ft})^2 = 78.5\:\text{ft}^2[/tex]
Simplify
1/2 + 2/5
A) 1/10
B) 2/7
C) 3/7
D) 9/10
Answer:
D) 9/10Step-by-step explanation:
Add up as fractions:
1/2 + 2/5 = Common denominator is 2*5 = 105/10 + 4/10 = 9/10Option D
Option D
The equation of a line is given below.
8x+2y=-2
Find the slope and the y-intercept.
Then use them to graph the line.
The formula for force is F = ma. Solve
for mass, m.
Answer:
Divide By Acceleration
Step-by-step explanation:
F = ma
F/a= m/a
The diagram shows a triangle.
What is the value of c?
C=
Step-by-step explanation:
a triangle is equal to 180 degrees
180 minus 36 gives us 144
144 divided by 8c equals 18
c equals 18
Please need it fast will give brainliest At 5:00 A.M. the temperature in Phoenix, Arizona, was already 80°F. By 3:00 P.M. the
temperature had risen to 97°F. What is the difference in the temperatures?
Answer:
The difference is 17 degrees.
Step-by-step explanation:
You want to take your final temperature which in this case is 97°F, and then subtract it from the starting temperature which is 80°F. Doing this will help you find your difference.
97-80 = 17°F
I hope this helps! :)