Solve for x & y. 30x−42y=−6 and 5x−7y=−1
1 answer:
Um.. Both of those equations are the exact same. Divide both sides of the first equation by 6. You get:
That is the exact same as the second equation. This system has an infinite number of solutions. 5x - 7y = -1 is a line, so basically every point on that line is a solution to the system.
For example,
and 
would work, but so would 
and 
That is the exact same as the second equation. This system has an infinite number of solutions. 5x - 7y = -1 is a line, so basically every point on that line is a solution to the system.
For example,
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ANSWER
4375 unit cubes
EXPLANATION
The volume of a right rectangular prism is given by;
We substitute the given dimension to obtain,
The volume of the unit cube with edge lengths
is
To find the number of unit cubes that can fit inside the prism, we divide the volume of the rectangular prism by the volume of the unit cube.
Answer:
The smallest possible value for x is
Step-by-step explanation:
we know that
The <u>Triangle Inequality Theorem</u>. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so
The value of x must be greater than
so
If x must be a whole number
therefore
The smallest possible value for x is
Answer:
Step-by-step explanation:
1) In this question we've been given "a", the leading coefficient. and two roots:
2) There's a theorem, called the Irrational Theorem Root that states:
If one root is in this form then its conjugate
. is also a root of this polynomial.
Therefore
3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then: