Carlos has 58 pencils what is the value of the digit 5 in this number
2 answers:
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<u>Given</u>:
The given equations are and
We need to determine the pair of numbers that is a member to the system of equations.
<u>Pair of numbers:</u>
The pair of numbers can be determined by solving the system of equations.
Let us use the substitution method to solve the equations.
Substituting in the equation
, we have;
Thus, the value of x is 1.
Substituting x = 1 in the equation , we get;
Thus, the value of y is 7.
Hence, the pair of numbers that is a member of both the equations are (1,7)
Answer:
Volume =
Step-by-step explanation:
Given - Consider the solid S described below. The base of S is the triangular region with vertices (0, 0), (4, 0), and (0, 4). Cross-sections perpendicular to the x-axis are squares.
To find - Find the volume V of this solid.
Solution -
Given that,
The equation of the line with both x-intercept and y-intercept as 4 is -
⇒x + y = 4
⇒y = 4 - x
Now,
Volume =
where
A(x) is the area of general cross-section.
It is given that,
Cross-sections perpendicular to the x-axis are squares.
So,
A(x) = (4 - x)²
As solid lies between x = 0 and x = 4
So,
The Volume becomes
Volume =
=
=
=
=
=
=
=
⇒Volume =
