Answer:
The simplified of is 4m .
Step-by-step explanation:
As given
L.C.M of (4,3) = 12
= 4m
Therefore the simplified of is 4m .
A. 64⁄27
B. 3⁄4
C. 27⁄64
D. 4⁄3
Answer:
Option D
Step-by-step explanation:
we know that
The product of two fractions is equal to the product of the numerators divided by the product of the denominators
so
Equation given in the question represents a circle.
Therefore, there will be infinite lines of symmetry.
Given in the question,
Equation given in the question is in the form of
Since, general equation of a circle is given by,
Therefore, given equation represents a circle.
By definition, a circle has infinite lines of symmetry passing through the center.
Therefore, given equation will have infinite lines of symmetry.
Learn more about the lines of symmetry here,
Answer:
It has infinitely many line of symmetry. All diameters are line of symmetry.
Step-by-step explanation:
Given: Equation is x² + y² = 9
To find: line of symmetry of given equation
Given equation is the equation of circle.
x² + y² = 9
re write,
(x-0)² + (y-0)² = 3²
by comparing given equation with standard equation of circle ,
(x-h)² + (y-k)² = r²
we get, h = 0 , k = 0 , r = 3
⇒ Centre of circle = ( 0 , 0 ) and radius of circle = 3 unit
Since It is a circle. so it has Infinitely many line of symmetry
Also, All diameters of this circle are line of symmetry for this circle.
Some equation of line of symmetry,
x-axis : y = 0
y-axis : x = 0
B. y = 11/12
C. y = 144
D. y = 1/11
C
Answer:
La ecuación del círculo en la forma es (x - 145/12)² + (y - 109/16)² = (545/48)²
Step-by-step explanation:
La información dada son;
La primera línea tangente al círculo en el punto (10, -1) = 3·x - 4·y = 34
La segunda línea tangente al círculo en el punto (3, 0) = 4·x + 3·y = 12
Las rectas tangentes dadas en forma de pendiente e intersección, y = m·x + c son;
3·x - 4·y = 34
4·y = 34 - 3·x
y = 34/4 - 3/4·x = 8.5 - 3/4·x
Primera tangente
y = 8.5 - 3/4·x
3·y = 12 - 4·x
y = 12/3 - 4/3·x = 4 - 4/3·x
Segunda tangente
y = 4 - 4/3·x
La recta de la ecuación de los radios es perpendicular a la tangente y se encuentra con la tangente en el punto de intersección con el círculo como sigue;
La primera ecuación radial tiene pendiente, m = 1/(-3/4) = 4/3
La ecuación en forma de punto y pendiente es y - (-1) = 4/3×(x - 10)
y = 4/3×(x - 10) - 1 = 4/3·x - 40/3 - 1 = 4/3·x - 43/3
Por tanto, la ecuación del primer radio es;
y = 4/3·x - 43/3
La segunda ecuación radial tiene pendiente, m = 1/(-4/3) = 3/4
La ecuación en forma de punto y pendiente es y - 0 = 3/4×(x - 3)
y = 3/4×(x - 3) = 3/4·x - 9/4
Por tanto, la ecuación del segundo radio es;
y = 3/4·x - 9/4
Los dos radios se encuentran en el centro dado como sigue;
4/3·x - 43/3 = 3/4·x - 9/4
4/3·x - 3/4·x = 43/3 - 9/4
7/12·x = 145/12
x = 145/12
y = 3/4·x - 9/4 = 3/4·145/12 - 9/4 = 109/16
Las coordenadas del centro = (h, k) = (145/12, 109/16)
La longitud del radio, r = √((109/16 - 0)² + (145/12 - 3)²) = 545/48
La ecuación del círculo en la forma (x - h)² + (y - k)² = r² es, por lo tanto;
(x - 145/12)² + (y - 109/16)² = (545/48)².
There are no 858585 minutes between 3:27 PM and 5:45 PM when Payton's family eats dinner, as this would mean that Payton goes on over 596 day bike ride, which is unrealistic.
The question would be realistic, if it was:
Payton leaves to go on an 85 minute bike ride at 3:27 PM.
Payton's family eats dinner at 5:45 PM. How much time will Payton have between finishing her bike ride and eating dinner?
Answer:
Payton has 53 minutes between finishing her bike ride and eating dinner
Step-by-step explanation:
- Payton rides for 85 minutes.
If she starts by 3:27 PM, she would finish by 4:52 PM.
- Dinner is by 5:45 PM.
We are required to find how much time is between 4:52 PM and 5:45 PM.
Subtract:
.........H...............M
.........05............45
.........04............52
.................................
.........00............53
Payton has 53 minutes
Answer:
Step-by-step explanation:
Guven:
Time of bike ride = 3:27 PM
Time of dinner = 5:45 PM
Bike ride = 85 minutes
Time that bike ride ended = 3:27 + 85
= 3:27 + 1:25
= 4:52 PM
duration left between after the ride and dinner time = 5:45 - 4:52
= 45 + 8 minutes
= 53 minutes