Answer:
<em>The correct option is: A. X= -4</em>
Step-by-step explanation:
The equation of the given line is:
As the given line is a <u>vertical line parallel to y-axis, that means the slope of the line is 'undefined'</u> or , where is any real number.
Now, the slope of the line which is parallel to the given line will be also , as <u>the slopes of parallel lines are always equal</u>.
The parallel line is passing through the point (-4, 1). So, using point-slope form.......
Thus, the equation of the parallel line will be:
If it drops 1800 ft in 45 minutes; then it speed is 1800ft/45min
Answer:
y = 42
Step-by-step explanation:
180-90-48=42
Answer:
age of boy = 12
age of mother = 4 times age of boy = 4*12 = 48
let x = years time
3(12+x) = 48+x
36+3x = 48+x
3x-x = 48-36
2x = 12
x = 6
In 6 years time the mother will be three times as old as the son.
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- x - y - z = - 8 ------- (1)
- 4x + 4y + 5z = 7 -------- (2)
2x + 2z = 4 --------- (3)
From (3): x + z = 2
x = 2 - z --------- (4)
Substitute (4) into (1),
- x - y - z = - 8
- (2-z) - y - z = - 8
- 2 + z - y - z = -8
- 2 - y = - 8
2 + y = 8
Therefore, y = 6
Substitute y = 6 and (4) into (2),
- 4x + 4y + 5z = 7
- 4(2 - z) + 4(6) + 5z = 7
- 8 + 4z + 24 + 5z = 7
9z + 16 = 7
9z = - 9
Therefore, z = - 9
Substitute z = - 9 into (4),
x = 2 - z
x = 2 - (-9)
x = 2 + 9
Therefore x = 11
Solution:
x = 11
y = 6
z = -9