Answer:
(-1, 5)
(0, 3)
(2, -1)
Step-by-step explanation:
we have
Remember that
If a ordered pair is a solution of the given function, then the ordered pair must satisfy the given function
<u><em>Verify each case</em></u>
case a) (-2, -1)
substitute the value of x and the value of y in the given function and compare the result
---> is not true
therefore
Is not a ordered pair of the given function
case b) (-1, 5)
substitute the value of x and the value of y in the given function and compare the result
---> is true
therefore
Is a ordered pair of the given function
case c) (0, 3)
substitute the value of x and the value of y in the given function and compare the result
---> is true
therefore
Is a ordered pair of the given function
case d) (1,0)
substitute the value of x and the value of y in the given function and compare the result
---> is not true
therefore
Is not a ordered pair of the given function
case e) (2, -1)
substitute the value of x and the value of y in the given function and compare the result
---> is true
therefore
Is a ordered pair of the given function
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 )
6.24x10^6 ( the first one)
Answer:
A=3797 dollars
Step-by-step explanation:
A=P(1+r)^t t=time period, r is the rate, P is the principal
A=2000(1+0.06)^11
A=3797 dollars
