Answer:

Step-by-step explanation:
Solve for the value of
:

-Combine like terms:


-Multiply
on both sides, which is the reciprocal of
, and multiply
and
:



-Divide
by
:


Therefore, the value of
is
.
Answer:
Step-by-step explanation:
Put the value where the variable is and do the arithmetic. It can save some steps to simplify the expression first.
35 -c³ +8 = 43 -c³
<u>c = 1</u>
43 - 1³ = 43 -1 = 42
<u>c = 2</u>
43 - 2³ = 43 -8 = 35
<u>c = 3</u>
43 -3³ = 43 -27 = 16
The values that go in the blanks are 42, 35, 16.
_____
<em>Additional comment</em>
It does not take long to learn how to use a spreadsheet for evaluating the same formula with a number of different values of the variable(s). Graphing calculators can do this, too. It is always appropriate to use the right tool for the job.
Familiarity with multiplication and addition facts is a very good place to start. It is also useful to memorize the squares and cubes of small integers. The latter are needed here.
Answer:
np
Step-by-step explanation:
3.14(rs + r2)
3.14 (r= 2 x s= 3 + r =2 x 2)
3.14 ( 6+4)
3.14 (10)
3.14 x 10 = 31.4 units ² I guess
Answer:
<u>The correct answer is A. Divide both sides by positive 5</u>
Step-by-step explanation:
Let's solve the equation for finding z and the necessary steps to do it:
5z - 3 = 12
5z = 12 + 3 (Adding 3 at the right side and subtracting 3 at the left side)
5z = 15 (Adding 12 plus 3 at the right side)
5z/5 = 15/5 (Dividing by positive 5 at both sides)
<u>z = 3</u>
<u>The correct answer is A. Divide both sides by positive 5</u>
<u>Given</u>:
The system of linear equations are
and 
We need to determine the solution to the system of equations using substitution method.
<u>Solution</u>:
The solution can be determined using the substitution method.
Let us substitute
in the equation 
Thus, we have;




Thus, the value of y is -17.
Substituting
in the equation
, we get;


Thus, the value of x is -13.
Hence, the solution to the system of equations is (-13,-17)