The line is solid so we have either ≤ or ≥
find the equation of the line
ok, a y intercept if -1
sllope=rise/run=3/1=3
y=mx+b
m=slope
b=y intercept
y=3x-1 is the equaton
now find if it's y≥3x-1 or y≤3x-1
test a point
we see (0,0) Is not in in it
test it in y≥3x-1
0≥3(0)-1
0≥-1
false,
so this is the equation because (0,0) is not a valid solution for this equation
answer is y≥3x-1
X^2 = 73 - y^2
<span>x^2 - y^2 = 55 </span>
<span>substituting in to it </span>
<span>73 - 55 = 2y^2 </span>
<span>18 = 2y^2 </span>
<span>y = 3 </span>
<span>x^2 - 73 - 9 </span>
<span>x = 8 </span>
<span>answer is A</span>
We assume that the hill is represented by points ACD and the ski lift is represented by points BCD. From the description above, points CDB would have an angle of 90 degrees. Then, we would have:
sin (32) = CD / 960
CD = 508.72
tan 32 = 508.72 / AD
AD = 814.13
Therefore, the distance would be 814.13 - 508.72 = 305.4 ft.
I believe that would be 7
Answer:
Solution (1, 4)
Step-by-step explanation:
x = y - 3
x + 3y = 13
Substitute x = y - 3 into x + 3y = 13
y - 3 + 3y = 13
4y - 3 = 3
4y =16
y = 4
Substitute y = 4 into x = y - 3
x = 4 - 3
x = 1
Solution (1, 4)