Answer:
the horizontal is correct
Step-by-step explanation:
<em>the</em><em> </em><em>reason</em><em> </em><em>that</em><em> </em><em>is</em><em> </em><em>is</em><em> </em><em>bec</em><em>ause</em><em> </em><em>a</em><em> </em><em>hori</em><em>zontal</em><em> </em><em>lines</em><em> </em><em>goes </em><em>up</em><em> </em><em>and</em><em> </em><em>down </em><em>which</em><em> </em><em>has</em><em> </em><em>a</em><em> </em><em>no</em><em> </em><em>slope</em><em> </em><em>at</em><em> </em><em>all</em><em> </em><em>it's </em><em>almost</em><em> </em><em>like</em><em> </em><em>a</em><em> </em><em>wall</em><em>.</em><em> </em>
Answer: 4/7
This is a fraction
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The two points are (x1,y1) = (2,3) and (x2,y2) = (9,7)
Which breaks down to these four facts
x1=2
y1=3
x2=9
y2=7
Plug those values into the slope formula below and simplify
m = (y2 - y1)/(x2 - x1)
m = (7 - 3)/(9 - 2)
m = 4/7
The slope is 4/7
Side Note: slope = rise/run = 4/7 so rise = 4 and run = 7. Meaning that each time we go up 4, we also go to the right 7
Invested at 3% = x
invested at 4% = 2x
invested at 5% = x+500
0.03x + 0.04(2x) + 0.05(x+500) = 2025
0.03x + 0.08x +0.05x +25 = 2025
0.16x = 2000
x= 12,500
4% = 2x = 12,500 * 2 = $25,000
Answer:
12√5
Step-by-step explanation:
According to the attached sketch, there are 2 triangles which we need to focus on, triangle A (in yellow) and triangle B (In red).
If you look at triangle A, we notice that X is the hypotenuse of triangle A. This means that X must be the largest length in triangle A, hence we can say that x must be greater than 24 (or 24 < x)
Now look at triangle B, in this case, they hypotenuse is 30 and x is the length of one of the sides. This means that x must be shorter than the hypotenuse (i.e x < 30)
from the 2 paragraphs above, we can see now that we can assemble an inequality in x
24 < x < 30
If we look at the choices, we can immediately ignore 33 because x must be less than 30,
working out the choices, we find that the only choice which falls into the range 24<x<30 is the 2nd choice 12√5 (= 26.83) (which is the answer)
The last 2 choices give values smaller than 24 and are hence cannot be the answer
