Answer:
X - Y = 11 -------1
2x + y = 19 --------2
<em><u>Solving</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>elimination</u></em><em><u> </u></em><em><u>method</u></em><em><u> </u></em>
Multiple equation 1 by 2
2( X - y )= 22
2x - 2y = 22
2x + y = 19
Y = 3
Putting value of y= 3 in equation 1
X - 3 = 11
X = 11 + 3
X = 14
<h3>Value of X = 14 and Y = 3 </h3>
Answer:
C ) y + 3 = 1/4 ( x + 4 )
Explanation:
Given that you did not include the "given line", I can help you by explaning how to solve this kind of problems, step by step.
The procedure is based of the property of perpendicular lines: the product of the slopes of perpedicular lines is negative 1.
If you call m1, the slope of a line and m2 the slope of a perpendicular line, then:
m1 * m2 = - 1, and you can solve for either m1 or m2:
m1 = - (1 / m2)
m2 = - (1 / m1).
With that this is the procedure:
1) find the slope of the "given line". Name it m1.
2) find the slope of the perpendicular line:
m2 = - (1 / m1).
3) Use the equation of the line with the point (x1,y1) and slope m2
y - y1
-------- = m2
x - x1
4) In this case the point is (-4, - 3)=> x1 = - 4, y1 = - 3
=>
y - (-3)
---------= m2
x - (-4)
=> y + 3 = m2 * (x + 4)
=> y = m2*x + m2 * 4 - 3
Which is the point-slope form. You only have to replace m2 with the slope value of the perpendicular line, which I already explained that you find as m2 = (-1/m1).
Taking that the other line has m1 = - 4 so m2 = 1/4
y = (1/4)x + (1/4) * 4 - 3
y = (1/4) (x +4) - 3
y + 3 = (1/4) (x + 4) and answer is:
C ) y + 3 = 1/4 ( x + 4 )
Answer:
2 hour 15 min
Step-by-step explanation:
60 min = 1 hour
1 hour + 35 min + 40 min
1 hour + 75 min
1 hour + 1 hour + 15 min
= 2 hour 15 min
1/8 of a pizza = $2.50
1/8 of a pizza, multiplied by 8
= 8/8 (or 1 whole)
8/8 = $2.50, multiplied by 8
1 pizza = $20.00
