Answer:
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Step-by-step explanation:
The slope of two points is found by
m = (y2-y1)/(x2-x1)
= (1-5)/ (-3 - -3)
= -4/(-3+3)
= -4/0
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3(x-4)
Opening brackets;
3x-12
5x+2
Putting like terms together;
3x-5x
-2x
x
Answer:
the face area would be 25.0
and total area would be 150.0
Step-by-step explanation:
5.0*5.0=25.0
6*25.0=150
If 5/8 of the teachers are males, there are 45 male teachers.
Subtract this value from 72 (i.e., find 3/8 of 72), and you will find that there are 27 female teachers.
Answer:
x = 3 and y = 2
or
(3,2)
Step-by-step explanation:
first equation (LCM = 3 x 4 x 5 = 60)
(x+2)/5 - (9-x)/3 = (y - 6)/4
12(x+2) - 20(9-x) = 15(y - 6)
12x + 24 - 180 + 20x = 15y - 90
32x - 15y = -90 - 24 + 180
32x - 15y = 66
second equation:
8(x + 2) - (2x + y) = 2(x + 13)
8x + 16 - 2x - y = 2x + 26
6x - y + 16 = 2x + 26
4x - y = 10
Now you have 2 equations:
4x - y = 10 ---> y = 4x - 10
32x - 15y = 66
Substitute y = 4x - 10 into 32x - 15y = 66
32x - 15(4x - 10) = 66
32x - 60x + 150 = 66
-28x = -84
x = 3
y = 4(3) - 10
y = 12 - 10
y = 2
Solutions: x = 3 and y = 2