Zeros of this function
- x²-x-6=0
- x²-3x+2x-6=0
- x(x-3)+2(x-3)=0
- (x+2)(x-3)=0
- x={-2,3}
ZEros of reciprocal function
The equation
- x²-(-1/2+1/3)x-(1/2)(1/3)=0
- x²-1/6x-1/6=0
If you plot the points given on a coordinate plane you see that this is a hyperbola that is is horizontal in nature, meaning it opens side to side, not up and down. We can determine the center of it by taking the point equidistant from the vertices, which is (4, 5), the h and k of our center, respectively. Also, the equation looks like this when it is horizontal:
. a is the distance between the center and the vertices, so our a = 2, and c is the distance between the center and the foci, so our c = 3. We need to find b now, using Pythagorean's theorem.
and
. Now we have everything we need to rewrite the equation:
Answer:
91.8 ft
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 42 = x/102
102 tan 42 =x
91.84121252 =x
Volume of a Cube:
<span>Since all of the edges of a cube are of equal length, there is no need to differentiate between the length, width and height. The volume of a cube is determined by multiplying the length of three edges of the cube. Let "a" define the length of an edge of the cube.
Then the volume formula is defined as:</span>
V = a<span> × </span>a<span> × </span>a
<span>This formula is also written as V = a³<span>.
If a = 5 feet, then the volume is found like this:</span></span>
V = (5)³ = 5<span> × </span>5<span> × </span>5 = 125: Since each value is a measurement of feet, the volume is therefore 125 cubic feet.
Example 1:<span> Find the volume of a solid cube shape box whose side is 13m.</span>
Solution:
<span>Given that: side a = 3m
Volume of the cube is therefore:</span>
V = a³
V = 13³
<span>V = 2197 m3</span>
Example 2:<span><span> Find the measure of volume of a cube for the given side length is 20 inches?</span>
<span>Solution:</span>
<span>Given that: Side a = 20 inches
Volume of the cube is therefore:</span></span>
V = a³
V = 20³
<span>V = 8000 in3</span>
<span>Therefore, volume of a cube is 8000 in3.
</span>
Example 3:<span> Find the volume of a cube for the given side length 12.5 meter?</span>
Solution:
Given that: Side a = 12.5 m
V = a³
V = 12.5³
<span>V = 1953.125 m3</span>
<span><span>Therefore, the volume of the cube is 1953.125 cubic meter.</span>
</span>
Answer: Circumference of Earth= 25120 miles
Step-by-step explanation:
Given: The circumference of a circle can be found using the formula 
, where d= diameter of the circle.
Earth's diameter = 8000 miles (approx)
The circumference of circle = 
[substitute values in formula]
The circumference of circle = 25120 miles (approx)
Hence, the circumference of Earth= 25120 miles (approx)
