Answer:
2
Step-by-step explanation:
The text translates to:
5x + 2 < 13
which simplifies to
x < 11/5
the greatest integer that does this is 10/5, a.k.a. 2
Answer:
<A = 67
Step-by-step explanation:
The three angles of a triangle add up to 180 degrees. We know a right angle is 90 degrees.
<A + <B + <C = 180
3x-8 + 90 + x-2 =180
Combine like terms
4x-10+90 = 180
4x+80 =180
Subtract 80 from each side
4x+80-80=180-80
4x=100
Divide each side by 4
4x/4 = 100/4
x=25
But we want to know <A
<A = 3x-8
Substitute x=25
=3(25) -8
=75-8
= 67
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>
Answer:
142
Step-by-step explanation:
I'd use line chart, percentage or real number. Hope this helps
