Given: If x=6, what is the smallest natural number y that makes x2+y2 rational .
To Find: Smallest value if y so that the expression is rational .
Solution : On substituting x = 6 , we have
[tex]=> x^2+y^2= 6^2+y^2\\\\ x^2+y^2= 36+y^2[/tex]
Now for the whole expression has minimum value y^2 should be minimum , also y should be natural no. The set of Natural no. is ,
[tex]=> N=\{ 1,2,3,4,... ..,\infty\}[/tex]
Therefore the smallest Natural no. is 1 . Therefore minimum value of y is 1.
The minimum value of y is 1.
The difference of 1 and twice a number is at most one third the
number(Which of the following models this description?
A. 21 – 2x<_ 1/3x
B. 21 – 2x = 1/3x
C. 21 – 2x >_ 1/3x
D. 21 – 2x < 1/3x
Answer:
Step-by-step explanation:?
Which of the following is the solution (x,y) of the system of equations x-2y = 2 and -x+2y = 2
Answer:
Step-by-step explanation:
x-2y = 2
-x+2y = 2
set 1st eq. equal to 2nd equation since they both equal 2
x -2y = -x + 2y
2x = 4y
x = 2y
1/2x = y
(x, 1/2x ) :P
in 2010. 465 students went to a certain school. In 2014, 372 students went to the same school. By what percent did the number of students decrease?
Answer:
20%
Step-by-step explanation:
465 - 372 = 93
93/465 = 0.2
0.2 × 100 = 20
Hope this helps !
let f(x) = x-4 and g(x) = (x-4)^3
find the sum of the area enclosed by the graphs
Of F and g between x=3 and x=5
PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR
Answer:
1. 3k=150
2. 50
HELP ME PLEASEEEEEEE I WILL GIVE BRAINLIEST PLZ HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
pretty simple, you should get 1824
Step-by-step explanation:
first find area of square, you should get 1536 in^2. Then triangle, the formula is base times height divided by 2. lmk if you need more help
HELP ME PLEASE AND PLEASE ATTACH THE ANSWER BELOW (NO LINKS!!)
Answer:
D
Step-by-step explanation:
Answer:
1885
Step-by-step explanation:
Volume = Base x Height
If f(x) = 4x - 6, what is f(6)?
A. 32
B. 3
o
C. 4
O D. 18
Answer:
18 is the correct answer
Step-by-step explanation:
to find f(6) you only need to put value 6 in place x and then simple addotion subtraction
f(6)=4(6)-6
f(6)=24-6
f(6)=18
factorise it
[tex]v[/tex]
Answer:
2(x – ½)(x + ½)
Step-by-step explanation:
2x² – ½
The above expression can be factorised as follow:
2x² – ½
2 is common to both 2 and ½. Thus,
2x² – ½ = 2[x² – ¼]
Recall
(½)² = ¼
Thus,
2[x² – ¼] = 2[x² – (½)²]
Difference of two squares
2(x – ½)(x + ½)
Therefore,
2x² – ½ = 2(x – ½)(x + ½)
Ms. Morrison is purchasing a house and needs to finance a $150,000 mortgage from
the bank with an annual percentage rate (APR) of 3.8%. She is financing it over 30
years and making monthly payments. What is the monthly payment?
At middle school lunch in the cafeteria, 60% of the students pack a lunch and 40% buy a lunch. Of the students who pack a lunch, 70% have a cookie. What is the percent of the students who have a cookie at lunch?
Answer:
42%
Step-by-step explanation:
The computation of the percentage is shown below:
Here we assume that there are 100 students
So according to the question
60% of the students would pack the lunch i.e. 60 students
And, 40% of the students buy a lunch i.e. 40 students
Now the students who pack the lunch they have 70% of cookie
So, 70% of 60 students = 42 students
Now the percentage is
= 42 students ÷ 100 students
= 42%
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
[tex]x = 25[/tex]
Step-by-step explanation:
The angles are vertical since they form from two lines crossing at a point and they share a same vertex.
Vertical angles are equal so
[tex]4x - 25 = 75[/tex]
[tex]4x = 100[/tex]
[tex]x = 25[/tex]
GIVING BRAINLIEST!!!!!!
In which step does a mistake first occur? (24+3+10)-14+2
Step1: (8+10)-14+2
Step 2: 18-14+2
Step3: 4+2
Step 4: 2
A brick of lead weighs 6,328 grams and has the following dimensions: length of 20 cm, height
of 8 crn, and width of 35 mm. What is the approximate density of the lead? Round to the
nearest tenth
Answer:
11.3
Step-by-step explanation:
Volume: L * W * H
L = 20
W = 8
H = 35 mm = 35/10 = 3.5 cm
V = 20 * 8 * 3.5
V = 560 cm^3
Density = m/v
Density = 6328 / 560
Density = 11.3
48. A wire is securely attached from the top of
a 26-foot pole to a stake on the ground
14 feet from the base of the pole. Find the
length of the wire to the nearest tenth of a
foot.
A. 21.9 feet
B. 24.3 feet
C. 28.7 feet
D. 29.5 feet
Answer:
D. 29.5 feet
Step-by-step explanation:
1) First you use the pythagorean theorem a^2+b^2=c^2
2) 26^2+14^2=c^2 The wire is the hypotenuse.
3) Simplify the equation. 676+196=c
4) 872=c
5) Find the square root of 872 and round to the nearest tenth.
6) Your answer is 29.5 feet.
Hope this helps!
If two angles are vertical and one of the angles measures 65 degrees, what is the measurement of the other angle?
Answer:
65 degrees, because vertical angles are always congruent.
Step-by-step explanation:
Plz help
The point of intersection of two function is also called the
A. Center
B. Equation
C. Vertex
D. Solution
Answer:
Step-by-step explanation: Vertex Equatiation Por mxa Plus B = X gtex Lp Cneter to 16u8 Killomtrss to ball
attach a link if needed<3
Juice: Different
Burritos: Same
Soup: Same
Peanut Butter: Different
What's the x plz help
Answer:
The answer for x is ten
PLSSSSS HELPPPPPP MEH ;^;
What is the lateral surface area of the triangular prism?
Answer:
I think it's 56.4
Step-by-step explanation:
if not I'm sorry
A bus traveled 330 miles between two cities. If the bus traveled for 6 hours, how
many miles did the bus travel per hour?
Answer:
55 miles per hour
Step-by-step explanation:
.......ur welcome.......
330÷6=55
we divide the amount of miles by the time it took the bust to travel
A bus traveled 330 miles between two cities. If the bus traveled for 6 hours,, The bus will travel approximately 55 miles per hour.
To determine the number of miles the bus traveled per hour, we need to divide the total distance traveled by the time taken.
Given:
Total distance traveled = 330 miles
Time taken = 6 hours
To find the miles per hour, we divide the total distance traveled by the time taken:
Miles per hour = Total distance traveled / Time taken
Miles per hour = 330 miles / 6 hours
Miles per hour ≈ 55 miles per hour
Therefore, the bus traveled approximately 55 miles per hour.
To know more about "traveled." here
https://brainly.com/question/28779362
#SPJ2
Full Question
A bus traveled 330 miles between two cities. If the bus traveled for 6 hours, how many miles did the bus travel per hour?
(No graph Needed)
?? I need a step by step explanation, please
Answer:
( 4 , − 1 )
Step-by-step explanation:
y= (x + 3)(x + 5)
y= x^2 + 5x + 3x + 15
y= x^2 + 8x +15
im not sure if its too small or not
Answer:
area of ring shape =
[tex](\pi \times 6 \times 6) - (\pi \times 4 \times 4)[/tex]
=
[tex]36\pi - 16\pi[/tex]
=
[tex]20\pi[/tex] square inches
At 7am there was 4 inches of snow on the ground. After that, the snow fell at a rate of 1.5 inches per hour. Equation:
Answer:
y(t) = 4 + 1.5t
.
Step-by-step explanation:
Initial amount of snow = 4 inches
Fall rate of snow = 1.5 inch per hour
Equation to model the scenario goes thus :
Initial amount of snow + (fall rate of snow * number of hours)
Let the number of hours = h
4 inches + (1.5 inch per hour * h)
Equation, y(t) becomes ;
y(t) = 4 + 1.5t
Comert
3T=_b
3 tons is equal to
pounds.
Answer:
i think 3 tons equal 6000 pounds
jackson is paid $250.for 5
days of Work how much IS
he paid per day
The diameter of a circle is 4 millimeters. What is the circle's circumference?
Answer:
4pi millimeters.
Assuming pi = 3.14159, we can approximate the diameter to be 12.56636mm
Step-by-step explanation:
To get the circumference of a circle, just multiply the diameter by pi
Answer:
C=0.125m
Step-by-step explanation:
C = 2[tex]\pi[/tex]r= (2r)[tex]\pi[/tex] = d[tex]\pi[/tex] = 0.004·[tex]\pi[/tex] = 0.125m
Given h(x)=4x-4h(x)=4x−4, find h(-3)h(−3).
Answer:1
Step-by-step explanation:
4x-4x+4=4h(x)
4=4h(x)
h(x)=1
h(-3)h(-3)=(1)(1)=1
If I have the letter x after a number, what does it mean?
Ex. 20x = 5
Answer:
It means that 20 times x is 5
also the answer to that problem (20x=5) is 1/4
Step-by-step explanation:
20x means
20 * x
and since 20 * x = 5
divide 5 and 20
5/20 = 1/4
(NO LINKS OR ELSE YOU WILL BE REPORTED)
Part A
What is the value of x?
Show your work.
Part B
Describe two different ways you could find measure of angle CFD. What is the measure of this angle?
Answer:
Step-by-step explanation:
Part A
Since, all angle formed at point F lie on a straight line CE.
Therefore, sum of angles ∠AFE, ∠AFB, ∠CFB will be 180°.
(7x + 4) + (8x + 6) + (6x + 2) = 180
21x + 12 = 180
21x = 168
x = 8
Part B
Two lines CD and AE intersect each other at point F.
Therefore, ∠AFE ≅ ∠DFC [Vertically opposite angles]
m∠CFD = (7x + 4)°
= 7(8) + 4
= 60°
Since, all angles formed at point F on a straight line AD are linear angles,
m∠AFB + m∠CFB + m∠CFD = 180°
(8x + 6) + (6x + 2) + m∠CFD = 180°
14x + 8 + m∠CFD = 180
m∠CFD = 172 - 14x
= 172 - 14(8)
= 172 - 112
= 60°