Answer:
x = 5
x = 0
Pulling out like terms :
2.1 Pull out like factors :
x2 - 5x = x • (x - 5)
Equation at the end of step 2 :
x • (x - 5) = 0
Step 3 :
Theory - Roots of a product :
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation
Answer:
7 + 6
5 + 11
Step-by-step explanation:
the lengths of the two shorter sides of a triangle must add up to more than the length of the third side.
3 + 4 = 7 ≤ 8 no
7 + 6 = 13 > 12 yes
5 + 11 = 16 > 13 yes
4 + 6 = 10 ≤ 12 no
4 + 6 = 10 ≤ 10 no
Answer:
height of the cone = 4.01273885 units
Step-by-step explanation:
Volume of a cone(V) is given by:
....[1]
where,
r is the radius and h is the height of the cone.
As per the statement:
A cone with radius 5 units and ts volume is 105 cubic units
⇒r = 5 units and V = 105 cubic units
Substitute these given values and use 
in [1] we have;
Multiply both sides by 3 we have;
⇒
Divide both sides by 78.5 we have;
or
h = 4.01273885 units
Therefore, the height of the cone is, 4.01273885 units
Answer:
Step-by-step explanation:
A system of equations for this would be
19x + 11y = 273
and
12x + 17y = 283.
X is the amount of minutes to solve one long division problem and y is the amount of minutes to solve a graphing problem.
How To Solve This System of Equations.
Multiply both by 17 and 11 respectively for them to have the greatest common factor for y. So now both equations are:
323x + 187y= 4641
132x + 187y= 3113.
Subtract both equations and you have left:
191x = 1528.
Divide both sides by 191 and you find x.
X = 8.
Answer
It takes Sally 8 minutes to do one Long Division Problem.
Hope this helped. ;)
