Answer:
the circumference of Clare's circle is 75 cm
Step-by-step explanation:
The circumference of a circle is the length of its perimeter.
Let's define circumference as "C". We can calculate the circumference of a circle with following formula:
where π is pi, and d is diameter.
Then, to know Priya circle diameter;
Clare's circle has a diameter of 3*7.96=23.88cm
Next we calculate the circumference of Clare's circle:
Answer:
Car D
Step-by-step explanation:
Since the mass is the same, we need to depend on the speed. The lower the speed, the easier/faster to stop. The higher the speed, the longer it will take to come to a stop
Since, this is parallelogram
so, opposite sides are equal
We will find value of sides
Calculation of AB:
we are given point A=(-2,3)
point B=(4,0)
we can use distance formula
now, we can plug values
Since, this is parallelogram
so, opposite sides are equal
so,
Calculation of AD:
point A =(-2,3)
point D=(-5,2)
we can use distance formula
now, we can plug values
Since, this is parallelogram
so, opposite sides are equal
so,
Calculation of AE:
point A=(-2,3)
point E=(-3,1)
we can use distance formula
now, we can plug values
(a)
we know that
perimeter of a parallelogram is sum of all sides
so,
perimeter is
now, we can plug values
...........Answer
(b)
we can use area of parallelogram formula
we can plug values
............Answer
Answer:
Step-by-step explanation:
When using the substitution method we use the fact that if two expressions y and x are of equal value x=y, then x may replace y or vice versa in another expression without changing the value of the expression.
Solve the systems of equations using the substitution method
{y=2x+4
{y=3x+2
We substitute the y in the top equation with the expression for the second equation:
2x+4 = 3x+2
4−2 = 3x−2
2=== = x
To determine the y-value, we may proceed by inserting our x-value in any of the equations. We select the first equation:
y= 2x + 4
We plug in x=2 and get
y= 2⋅2+4 = 8
The elimination method requires us to add or subtract the equations in order to eliminate either x or y, often one may not proceed with the addition directly without first multiplying either the first or second equation by some value.
Example:
2x−2y = 8
x+y = 1
We now wish to add the two equations but it will not result in either x or y being eliminated. Therefore we must multiply the second equation by 2 on both sides and get:
2x−2y = 8
2x+2y = 2
Now we attempt to add our system of equations. We commence with the x-terms on the left, and the y-terms thereafter and finally with the numbers on the right side:
(2x+2x) + (−2y+2y) = 8+2
The y-terms have now been eliminated and we now have an equation with only one variable:
4x = 10
x= 10/4 =2.5
Thereafter, in order to determine the y-value we insert x=2.5 in one of the equations. We select the first:
2⋅2.5−2y = 8
5−8 = 2y
−3 =2y
−3/2 =y
y =-1.5
Answer:
two lines in the same plane called parallel - b.
