Answer:
C. (-1.5, 8.875)
Step-by-step explanation:
on a coordinate plane if point(x1,y1) and (x2,y2) is divided by a point p in ratio of m:n then coordinate of point p is given by
p = (nx1 + mx2/ m+n, ny1+my2/m+n)
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Given point
A (-9, 4) and B (11, 17)
ratio 3:5
m:n = 3:5
m+n = 3+5 = 8
coordinate of point p that partition AB
x = (5*-9 + 3*11) / 5+3 y = (5*4 + 3*17) / 5+3
x = (-45 + 33) / 8 y = (20 + 51) / 8
x = (-12) / 8 y = (71) / 8
x = -3 / 2 = -1.5 y = 8.875
Thus, coordinate of point p is (-1.5, 8.875).
Answer:
y=x+2
Step-by-step explanation:
the standard form is y=mx+b where m is the slope and b is the y intercept
TO FIND THE SLOPE: we take the x and y intercepts as a fraction. in this case the line touches the y axis (vertical) at point/value 2 and the x axis at point 2 as well. This means the slope is 2/2x which can be simplified to 1x or just x.
TO FIND THE Y INTERCEPT: we find where the line touches the y axis at point 2.
the slope is plugged into the m of the equation and the y intercept is plugged into the b of the equation.
Answer:
1) 2x+7
2) -3x+11
3) 0.75x-2
4) -2x+0
5) -1.5x+2
6) -4x+16
Step-by-step explanation:
1) y = mx + c
m = 2 when x=1 , y=9
9 = 2(1)+c
c = 7
y = 2x + 7
2) m = -3
When x=4, y= -1
-1 = -3(4) + c
c = -1+12 = 11
y = -3x + 11
3) m = 0.75
When x= -4, y= -5
-5 = 0.75(-4) + c
-5 = -3 + c
c = -2
y = 0.75x - 2
4) m = (y2-y1)/(x2-x1)
m = (2-(-6))/(-1-3) = 8/-4 = -2
y = -2x + c
When x= -1, y= 2
2 = -2(-1) + c
2 = 2 + c
c = 0
y = -2x + 0
5) m = (-10-(-4))/(8-4)
m = (-10+4)/4 = -6/4 = -1.5
y = -1.5x + c
When x= 4, y= -4
-4 = -1.5(4) + c
-4 = -6 + c
c = 2
y = -1.5x + 2
6) m = (-4-4)/(5-3) = -8/2 = -4
When x= 3, y= 4
4 = -4(3) + c
4 = -12 + c
c = 16
y = -4x + 16
Answer: 
Step-by-step explanation:
1. You have the following information given in the problem:
- The distance to the nearest exit door is no more than 150 feet.
- 
represents the distance to the nearest exit door, in feet.
2. Therefore, keeping the information above on mind, you know that the distance to the nearest exit door () must be less than or equal to 150 feet, then, you can express this as following:
<span>The elevation is 12,000 feet. the altimeter reading in an airplane is 17.00 in hg. this pressure is equal to:
There are 29.92inHg in 1 atm
thus
</span>17 inHg×(1 atm/29.92inHg)
=17/29.92
=0.5682 atm
Answer: 0.5682 atm
