What would the world problem " the quotient of a number decreased by 7 and negative 2 is negative 10 " be as an equation?
1 answer:
Answer:
Explanation:
A quotient of two numbers is a fraction with the first number being in the numerator (top) and the other number in the denominator (bottom). The statement calls for a "number" decreased by 7. That number is unknown but we have to give it a name, so, for example, "x." Therefore (x-7) is in the numerator. Negative 2, or -2 is "the other number" of the quotient and so it is in the denominator. Finally, the quotient is supposed to equal negative 10, or "=-10" which is the right-hand side, completing the equation.
For your interest, if you solve the equation, you will get x = 27, and you can check that the equation holds. "27 decreased by 7, divided by -2 equals -10."
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Answer:
The area of the rectangle <em>TOUR</em> is 80.00 unit².
Step-by-step explanation:
The area of a rectangle is computed using the formula:
Since the dimensions of the rectangle are not provided we can compute the dimensions using the distance formula for two points.
The distance formula using the two point is:
Considering the rectangle <em>TOUR</em> the area formula will be:
Area of Rectangle <em>TOUR</em> = <em>TO × OU</em>
The co-ordinates of the four vertices of a triangle are:
T = (-8, 0), O = (4, 4), U = (6, -2) and R = (-6, -6)
Compute the distance between the vertices <em>T</em> and <em>O</em> as:
Compute the distance between the vertices <em>O </em>and <em>U</em> as:
Compute the area of rectangle TOUR as follows:
Thus, the area of the rectangle <em>TOUR</em> is 80.00 unit².
Answer:
The domain represents the x-axis, more specifically, what is happening on the x-axis. So when looking at a graph, if you are asked to find the domain think about what the x-axis looks like. I put an image in to show you an example of what the domain would be for a parabola:
So on the left side of the x-axis, we can see that the line stretches out into negative infinity, so the domain would begin at negative infinity.
On the right side of the x-axis, the parabola also stretches into positive infinity, so here the domain would be (negative infinity, positive infinity), because it goes to both ends forever.
