While completing a multiplication problem I need to know how to do it by associative
1 answer:
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Answer:
The unknown number is -6
Step-by-step explanation:
Let's start by writing the sentence in mathematical terms:
Since we don't know what that "number" is, we replace it with the letter "". Then, <em>the quotient of that unknown number and three</em> can now be written as:
"<em>Five less than the quotient of a number by three</em>", can then be written as the difference (where we are subtracting 5 from that quotient):
The last part of the sentence tells us that the expression we just wrote in mathematical form "<em>is -7</em>." This in mathematical terms indicates "equals -7."
Therefore, we now have a mathematical equation (there is an equal sign in the expression) and we try to solve for the unknown number "" in it:
We do such by isolating the x on one side of the equal sign. This process involves: first add 5 on both sides of the equation, and second:multiply both sides of the equation by 3 to get rid of the denominator under the unknown:
The diameter is 12 units long. Their equation could be seen in y = 1, because it is a horizontal line. From x = - 7 to x = 0 is 7 units. From x = 0 to x = 5, is 5 units. 5 + 7 = 12. This means the radius is 6. We will use this later. If you need another way to find the radius, let me know. I can just use distance formula.
We will use these endpoints to find the center.
Midpoint =
=
=
= (- 1, 1)
This is the center.
The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center.
Plug in our given information now.
(x + 1)² + (y - 1)² = 6²
(x + 1)² + (y - 1)² = 36 is your equation.
We will use these endpoints to find the center.
Midpoint =
=
=
= (- 1, 1)
This is the center.
The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center.
Plug in our given information now.
(x + 1)² + (y - 1)² = 6²
(x + 1)² + (y - 1)² = 36 is your equation.