Answer: 
==================================================
Explanation:
Point-slope form is

where m is the slope and
is the point the line goes through.
We're given the slope of m = 5/6, and we want the line going through (-8,0) which is the x-intercept -8. The x-intercept always occurs when y = 0.
So,

We can replace the y-0 with y; however, I'm going to keep that 0 so that the equation better matches the point-slope form.
Answer:
y + 3 = (6)(x - 6)
Step-by-step explanation:
The proper format for this equation y-1/6x+9 is y = (-1/6)x+9.
Any line perpendicular to y = (-1/6)x+9 has the slope which is the negative reciprocal of that of y = (-1/6)x+9, or the negative reciprocal of -1/6. That is +6.
Thus, the desired line, which passes through (6, -3), is found using the point-slope formula for the equation of a straight line:
y + 3 = (6)(x - 6)
Answer:
2.33 = BC
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan B = AC / BC
tan 25 = AC / 5
Multiply each side by 5
5 tan 25 = BC
2.331538291 = BC
To the nearest hundredth
2.33 = BC
Answer:
-15
Step-by-step explanation:
3^2 - 3 x [(5^2 - 9) / 2 ]
9 - 3 x [(25 - 9) / 2]
9 - 3 x (16/2)
9 - 3 x 8
9 - 24
-15
Answer:
160 in.
Step-by-step explanation:
10 * 16 = 160