The greatest common factor between any list of numbers is the biggest multiple that they all share.
For example, 5, 35 and 50 all share 5 as the biggest common factor, making 5 the greatest common factor.
Now that we have our example and definition out of the way, let's make out the factors.
12:
1 x 12
2 x 6
3 x 4
40:
1 x 40
2 x 20
4 x 10
5 x 8
60:
1 x 60
2 x 30
3 x 20
4 x 15
5 x 12
6 x 10
Now that we have our factors, let's look for the biggest number that they have in common.
They all share 4 as the biggest number.
Your GCF (Greatest Common Factor) is 4.
I hope this helps!
First we need to take the - signal
So the difference between the graphs y = -4x and y = 4x is that they are mirrored by the y-axis
Now we have the graph y = 4x and want the graph y = 4x + 3
We just need to move the graph y = 4x 3 units to the left
So the transformations we need is to move it 3 units to the left and to mirror it by the y-axis
This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3
Second part: when (6x + 2) is negative.
-(6x + 2) < 10 Divide both sides of inequality by -1 and change the sign.
(6x + 2) > -10
6x + 2 > -10
6x > -10 - 2
6x > -12 Divide both sides by 6.
x > -12/6
x > -2.
Combined solution: x < 4/3 and x > -2
-2 < x < 4/3.
Graph is a line on the number line between -2 and 4/3.
-2 and 4/3 are excluded from solution.
Answer:
There are 108 inches in 9 feet
Step-by-step explanation:
Well, two unit multipliers mean we have to convert through two units before we arrive at our final answer so we can convert from feet to yards to inches!
We know that 3 feet equal a yard, right?
So we can divide 9 by 3 to get the amount that 9 feet translates to in yards.
So we are now done with our first conversion! Our second is going to be from yards to inches!
There are 36 inches in 1 yard so we should multiply 3 by 36 to get the amount in inches!
The third side of the triangle is 26.
Explanation:
Given:
Two sides of the isosceles triangle are 26 and 10.
To Find:
The possible value of the third side
Solution:
Definition of Isosceles triangle:
An isosceles triangle is a triangle with (at least) two equal sides. Isosceles triangle has both two equal sides and two equal angles.
We also know the property of the triangle that
Sum of two sides of triangle > third side of the triangle
Case1. When third side is 10
Thee third side can’t be equal to 10 because it does not follow the rule of triangle
10+10>26………which is not possible
So the third side of the isosceles triangle is 26.
