Answer:
(A) 12
Step-by-step explanation:
First, lets define the number as x.
"8 times the difference between a number and 6 is equal to 4 times the number" is translated into "8(x - 6) = 4x"
8(x - 6) = 4x
8x - 48 = 4x
4x = 48
x = 12
Given:
The figure of a right angle triangle.
Hypotenuse = in.
To find:
The missing lengths of the sides.
Solution:
In the given right angle triangle both legs a and b are equal, and hypotenuse is in.
Using Pythagoras theorem, we get
Divide both sides by 2.
Taking square root on both sides.
Side cannot be negative. So,
Thus, the missing side lengths are a=9 in and b=9 in.
Therefore, the correct option is C.
Answer: (1,4) and (1,3) because the have the same x-value
Step-by-step explanation:
A function is defined so that for each input (known as the domain), there is no more than one output (known as the range).
Answer:
The standard form of the equation of the circle is .
Step-by-step explanation:
A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.
The equation of a circle in standard form is
where <em>r</em> is the radius of the circle, and <em>h</em>, <em>k</em> are the coordinates of its center.
When the center of the circle coincides with the origin , so
We are also told that the circle contains the point (0, 1), so we will use that information to find the radius <em>r</em>.
Therefore, the standard form of the equation of the circle is .