Answer:
8 meters
Step-by-step explanation:
Given that:
Height of person = 2metres
Length of person's shadow = 6 meters
Height of flagpole =?
Length of flagpole shadow = 24 meters
Height of person = length of person's shadow
Height of flagpole = length of person's shadow
2 = 6
x = 24
Cross multiply
6x = 48
x = 48 / 6
x = 8 meters
The distance formula is an algebraic expression used to determine the distance between two points with the coordinates (x1, y1) and (x2, y2).
<span><span>D=<span><span>(<span>x2</span>−<span>x1</span><span>)2</span>+(<span>y2</span>−<span>y1</span><span>)2</span></span><span>−−−−−−−−−−−−−−−−−−</span>√</span></span><span>D=<span>(<span>x2</span>−<span>x1</span><span>)2</span>+(<span>y2</span>−<span>y1</span><span>)2</span></span></span></span>
Example
Find the distance between (-1, 1) and (3, 4).
This problem is solved simply by plugging our x- and y-values into the distance formula:
<span><span>D=<span><span>(3−(−1)<span>)2</span>+(4−1<span>)2</span></span><span>−−−−−−−−−−−−−−−−−−</span>√</span>=</span><span>D=<span>(3−(−1)<span>)2</span>+(4−1<span>)2</span></span>=</span></span>
<span><span>=<span><span>16+9</span><span>−−−−−</span>√</span>=<span>25<span>−−</span>√</span>=5</span><span>=<span>16+9</span>=25=5</span></span>
Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.
If the end points of a line segment is (x1, y1) and (x2, y2) then the midpoint of the line segment has the coordinates:
<span><span>(<span><span><span>x1</span>+<span>x2</span></span>2</span>,<span><span><span>y1</span>+<span>y2</span></span>2</span>)</span><span><span>(<span><span><span>x1</span>+<span>x2</span></span>2</span>,<span><span><span>y1</span>+<span>y2</span></span>2</span>)</span><span>
</span></span></span>
The first step for solving this problem is to know that in order to divide by a fraction,, we must multiply by the reciprocal of that fraction. This will look like the following:
× 9x
Write -6x as a difference.
× 9x
Factor out x from x² + 2x.
× 9x
Factor out -8 from -8(x + 2).
× 9x
Factor out x + 2 from the denominator (bottom) of the expression.
× 9x
Reduce the fraction with x + 2
× 9x
Finally,, calculate the product to find your final answer.
This means that the correct answer to your question is going to be option B.
Let me know if you have any further questions.
:)
Answer: 162.56 cm
Step-by-step explanation:
5 feet 4 is 64 inches
2.54 • 64 = 162.56
Chloe is 162.56 cm tall
Answer:
<h2>= 1.268</h2>
Step-by-step explanation:
= (3 + √3) (2 - √3)
= 6 - 3√3 + 2√3 - 3
= 3 - 3√3 + 2√3
= 3 - √3 (3 - 2)
= 3 - √3
= 3 - 1.732 ...... (√3 = 1.732)
= 1.268
