Five. nine thousand and sixteen
Answer:
- 1/3
Step-by-step explanation:
First you find the slope of the line.
2-(-4) 6
——— = — = 3
2-0 2
To find the slope of the line that is perpendicular to that line, you take the opposite reciprocal of the slope.
-1/3
Answer:
y - 2 = (-3/7)(x + 5)
Step-by-step explanation:
Recall that the slopes of a line and another line perpendicular to the first are negative reciprocals.
The slope of the given line is 7/3. The negative reciprocal of that is -3/7. Thus, we immediately eliminate the fourth answer choice.
We must now find the equation of the perpendicular line, with slope -3/7, that passes through (-5, 2). We'll do that using the point-slope formula for the equation of a straight line.
That formula is y - k = m(x - h), where m is the slope and (h, k) is the given point.
Substituting 2 for k, -5 for h and -3/7 for m, we get:
y - 2 = (-3/7)(x + 5). This matches the 3rd given possible answer.
Answer:
0.8
Step-by-step explanation:
The change of base formula for logarithms can be used to find this value exactly. (Your calculator can also tell you.)
__
Using this relation with the given numbers, we have ...
Answer:
x=5, y=8. (5, 8).
Step-by-step explanation:
3x+5y=55
5x+4y=57
---------------
5(3x+5y)=5(55)
-3(5x+4y)=-3(57)
-------------------------
15x+25y=275
-15x-12y=-171
---------------------
13y=104
y=104/13
y=8
3x+5(8)=55
3x+40=55
3x=55-40
3x=15
x=15/3
x=5
