Answer:
The given system of equations has solutions below:
1) The solution is (2,3)
2) The solution is (
)
3) The solution is infinitely many solutions
4) No solution
Step-by-step explanation:
Given system of equation are
To solve equation by using elimination method
Multiply eqn (2) into 2
Now subtracting (1) and (3)
_________________
7x=14
x=
Substitute x=2 in equation (1)
-2+2y=4
2y=4+2
y=3
Therefore the solution is (2,3)
2) Given equation is
4y-4=x
Rewritting as below
To solve equation by using elimination method
multiply (2) into 2
Adding (1) and (3)
-2x+y=3
2x-8y=-8
________
-7y=-5
substitute in (1)
Therefore the solution is (
)
3) Given equation is 
equation (1) can be written as
2(3x+y)=10
3x+y=5
Therefore equations (1) and (2) are same therefore it has infinitely many solutions
4) Given equation is 
multiply equation (1) into 2
To solve equation by using elimination method
subtracting (2) and (3)
-2x-4y=28
-2x-4y=12
_______
therefore it has no solution
It is B. Nikita used the wrong measurements when finding the area of the base. Please give a like. I Promise this is correct and if its not you can yell at me and all that! :)
Answer: 304.6°
Step-by-step explanation:
First of all, using the circumference of the circle formula to find the radius of the circle.
Circumference of the circle = 13, ie
2πr = 13,
r = 13/2π ---------------------------- 1
Now getting the radius of the circle now, you now substitute for this in the formula for finding the length of an arc to get the central angle.
Arc length = 11 , ( 2πr0°/360) or (πr0°/180), so
πr0°/180 = 11 ------------------------ 2
Now solve for 0°, the central angle of the angle by making it the subject of the formula.
πr0° = 180 x 11
0° = 180 x 11
----------- ----------------- 3
πr
Now, put equation 1 in equation 3 and solve.
0° = 1980
--------
π x 13/2π
= 1980 x 2π
-----------
π.x. 13
= 1980 x 2
----------
13
= 3960/13
= 304.6°
Therefore, the central angle of the arc is 304.6°
Please be meticulous and understand the way I change the r in the denominator. It was the rule in fraction when dividing.
To solve for these, we will use formulas and convertions as we go.
For 1:
We are looking for kg (kilograms) to g (grams). 1 g = 0.001 kg.
We have 2.5 kg. This means we must multiply 2.5 by 1,000.
2.5 x 1,000 = 2,500.
1.) is 2,500 grams.
For 2:
This problem has multiple steps, but we will successfully solve it. As of now, we have yards. There are 3 feet in a yard, and 12 inches in 1 ft. We will convert yards to feet, and then feet to inches.
500x3 = 1500, 1500 x 12 = 18,000.
2.) is 18,000 inches.
For 3:
There are 2,000 pounds in 1 ton. Using this, we can determine how many tons we have.
7,000/2,000 = 3.5
3.) is 3.5 tons.
I hope this helps!
