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.
I hope you all like this answer.
Mark as a brainlist.
rate my answer guys ❤️
What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?
Answer:
118°
Step-by-step explanation:
When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.
Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.
Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.
(5x + 17) + (15x - 17) = 180
5x + 15x + 17 - 17 = 180
20x = 180
20x/20 = 180/20
x = 9°
Nkw let's substitute x = 9 into the equations
5x + 17 =
5(9) + 17 =
= 62°
15x - 17 =
15(9) - 17 =
= 118°
Both equations should add up to be 180°.
Therefore the measure of the largest angle is 118°.
Aman bought a computer for 24000 and its accessories pack worth for 1750. He sold it all for *26780. Find his gain and gain per cent.
Answer:
4%
Step-by-step explanation:
Gain percentage = 1030/25750 x 100 = 4%
Answer:
$1,030, 4%
Step-by-step explanation:
Aman spent $25,750 on a computer and accessory packs (totally worth it). He sold it for $26,780. So let's say Aman is at 0 before he bought this. He spent $25,750, so we subtract that from 0 to get -25,750. Then he sells it all for $26,780 (again totally worth it for the person buying). So we add 26,780 to the total.
-25,750 + 26,780 = 1,030
So Aman made a profit of $1,030 (now he can buy a REASONABLY priced MacBook Air or something)
So to find the percentage that he gained, we divide 1,030 by his original spending price, namely 25,750
1,030/25,750 = 0.04
Convert that to percentage form, you get 4%
Also, it's questions like this that make me question whether the people who write these questions into the textbooks should be talked to lol.
When twelve is added to eight times a number, the result is one hundred and fifty. Find the
number.
Watch help video
Members of a lacrosse team raised $1431.75 to go to a tournament. They rented a bus
for $1051.50 and budgeted $29.25 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament.
Equation:
Answer: p =
Submit Answer
attempt 1 out of 2
Step-by-step explanation:
p = (1431.75 - 1051.50)/29.25
p = 13
17. Bailey rode Coaster B four times. How
many feet did she ride? What is your
answer rounded to the nearest thousand?
DATA
18. Janna rode each of the four roller
coasters listed in the table twice. How
many feet of roller coaster did she ride?
Answer:
Step-by-step explanation:
What is 906 times 45
Answer:
40770
........................
Answer:
40,770
Step-by-step explanation:
Given y = a(x - h)^2 + k, p =
A. a
B. 4a
C. 1/4a
9514 1404 393
Answer:
C. 1/(4a)
Step-by-step explanation:
We assume you're comparing the vertex form ...
y = a(x -h)^2 +k
to the form used to write the equation in terms of the focal distance p.
y = 1/(4p)(x -h)^2 +k
That comparison tells you ...
a = 1/(4p)
p = 1/(4a) . . . . . . multiply by p/a; matches choice C
__
Additional comment
When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).
When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:
[tex]p=\dfrac{1}{4a}[/tex]
Urgent Help Please!!!
Answer:
the x = 50 degrees, just because the sum of the angles of the triangle = 180 degrees, then the ABD triangle = 50 + 78+52 = 180, also the line AC will have 180 degrees, so the sum 78 + 102 = 180, and the BCD triangle is 102+ 50+28 = 180 and the ABC triangle also is 50+102+28=180
The percent of change from 200 to 220 and indicate if it is an increase or decrease.
Answer: Increase
Step-by-step explanation:
0.28÷0.007please answer me
Answer:
40
Step-by-step explanation:
0.28÷0.007
=280÷7
=40
_________
[tex] \: [/tex]
0,28 ÷ 0,007 = ...
[tex] = \frac{28}{100} \div \frac{7}{1.000} [/tex]
[tex] = \frac{28}{100} \times \frac{1.000}{7} [/tex]
[tex] = \frac{28.0 \cancel{00}}{7 \cancel{00}} [/tex]
[tex] = \frac{280}{7} [/tex]
[tex] \longmapsto \boxed{ \bold{ \red{40}}}[/tex]
URGENT HELP I NEED THE ANSWERS TO THIS WORKSHEET
Answer:
As follows,
Step-by-step explanation:
The sum of the angles of any triangle is 180.
∠U=69
∠D=42
∠E=35
∠F=35
∠G=55
∠H=45
∠I=45
∠J=15
∠M=120
∠K=15
∠L=75
∠Q=55
∠R=55
∠S=42
∠T=42
∠P=21
∠O=69
∠N=21
∠A=60
∠B=60
∠C=60
Solve algebraically for x 3600 + 1.02x < 2000 + 1.04 x
Answer:
x>80000
Step-by-step explanation:
3600+1.02x<2000+1.04x=x>80000
The speed of object A is 1,500 mph faster than that of object B. If
object B travels 3,500 miles in the same amount of time that object A
travels 85,000 miles, then find the speed of object A.
Answer:
1564.42 mph
Step-by-step explanation:
Let a = Object A's speed
b = Object B's speed
a = b + 1500
a/85000 = b/3500
Let's make subtract 1500 from both sides of the first equation
a = b + 1500
- 1500 - 1500
b = a - 1500
Cross multiply the second equation
3500a = 85000b
Plug in the new b into this new equation
3500a = 85000(a - 1500)
3500a = 85000a - 127500000
Subtract 3500a and 127500000 from both sides
3500a = 85000a - 127500000
- 3500a - 3500a
0 = 81500a - 127500000
+ 127500000 + 127500000
127500000 = 81500a
Divide both sides by 81500
127500000/81500 = 81500a/81500
a = 1564.4171779141104
help me answrr the 4th question please
Step-by-step explanation:
gcvnjgcnhkk xdhvchjjudvhtuk xecn9
What’s a reasonable domain for V(x)=x(11-2x)(17-2x)
Answer:
(-∞ , ∞) -∞ < x < ∞
Step-by-step explanation:
function has no domain constraint
The domain of the expression is all real numbers except where the expression is undefined.
The given function is v(x)=x(11-2x)(17-2x).
What is domain and range of the function?The B and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3}
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:(−∞,∞)
Set-Builder Notation:{x| x∈ R}
Therefore, the domain of the expression is all real numbers except where the expression is undefined.
To learn more about the domain and range visit:
brainly.com/question/28135761.
#SPJ2
Choose the pythagorian triplet with the smallest number as 10.
a) 24, 26, 10
b) 10, 6, 8
c) 10, 16, 18
d) 10, 18, 20
Answer:
b
Step-by-step explanation:
pls give brainliest hope helpful
There are tulips, daisies, and daffodils growing in a garden. There are 2 times as
many daisies as tulips and 3 times as many daffodils as tulips. If there are 12
daisies, how many total flowers are in the garden?
Simplify this expression 5xy - x2 + 2xy + 3x2
Answer: 5xy-x2t+2xy+3x2t Final result : x • (2xt + 7y) Step by step solution : Step 1 :Equation at the end of step 1 : ((5xy-((x2)•t))+2xy)+(3x2•t) Step 2 : Step 3 :Pulling out like terms : ...
Step-by-step explanation:
Answer:
2 [tex]x^{2}[/tex] + 7 x y
Step-by-step explanation:
est 100:
337
55,745
SS
t 1,000:
Answer:
Is this a question??
Step-by-step explanation:
PLEASE HELP ITS MATH THANK YOUUUU
9 inches = 14 yard
Formula: divide the value in inches by 36 because 1 yard equals 36 inches. So, 9 inches = 936 = 14 or 0.25 yard.
Answer:
4 yards
Step-by-step explanation:
Use a ratio and then cross multiply
120 yd x yd
--------- = ---------
270 in 9 in
270x = 1080
x= 1080 / 270
x = 4 yd
2) The management company of a popular, but unstable, rapper is worried about their investment
in his up-coming world tour, so they purchase a 1-year $1 million insurance policy for $137,000.
The probability the rapper will successfully complete the 1-year world tour is 0.87352. What is
the expected value of the policy from the perspective of the management company?
Answer:
137,000
Step-by-step explanation:
its math bro
PLEASE HELP WITH THIS ONE QUESTION
Answer:
11
Step-by-step explanation:
pls maerk as brainliest
please help!!!!!!!!!!!!!!!!!
For a standard normal distribution, find:
P(z < 2.51) =
Answer:
P(z < 2.51) ≈ 0.994
Step-by-step explanation:
P(z < 2.51) = normalcdf(-1e99,2.51,0,1) = 0.9939634253 ≈ 0.994
Check all solutions to the equation. If there are no solutions, check "None."
1x1 = 3
Someone please help!!
Answer:
B and E
Step-by-step explanation:
Please help- Precalculus
Step-by-step explanation:
(a) f (g (- 5)
→ f (-5)g
= - 5fg
(b) (g o f ) (4)
Move 4 left to the g o f
= 4gof
Answer:-5fg, and 20g
Step-by-step explanation:
I’m only in eighth grade but I’ma try
Re-order terms so constants are on the left
((−5))
(−5)
Eliminate redundant parentheses
there are none
Re-order terms so constants are on the left
-5fg
Re-order terms so constants are on the left
(5G)(4)
Eliminate redundant parentheses
5g(4)
Multiply the numbers
20g
can someone help me with this it’s due!!!
Answer:
10 feet tall
Step-by-step explanation:
(Triangle problem was answered in a previous question)
So like before, we have a ratio: 1.5inches:2.5feet
We have a starting value as well: 6 inches
All we have to do is convert from inches to feet (not with a real life equation, but with the given equation)
To begin, dvide 6 by 1.5
6inches/1.5inches = 4 (The units canceled out during division)
Not multiply by the ratio:
4 * 2.5feet = 10 feet (It takes the units in feet)
Therefore, the tree is actually 10 feet tall.
If you answer this question correctly I will give brainliest
Answer:
Final point:
(18,35)
Step-by-step explanation:
This is because the x=intercepts are increasing at a constant rate of 10.
Hope this helps :)
Select the situation that have a unit rate equivalent to 3 units to 1 unit
Answer:
A gardener harvested 15 tomatoes from 5 plants
Help needed. 5x+8 6x+8 and 82 ……..
Answer:
x=6
Step-by-step explanation:
a triangle is 180º total
a line is also 180º total
180-82=98
5x+8+6x+8+98=180
11x+114=180
11x=66
x=6