Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line p is
y = x - 1
Comparing with the slope intercept form, slope = 1
If two lines are parallel, it means that they have the same slope. Therefore, the slope of line q passing through (- 2, 8) is 1
To determine the y intercept, we would substitute m = 1, x = - 2 and
y = 8 into y = mx + c. It becomes
8 = 1 × - 2 + c
8 = - 2 + c
c = 8 + 2 = 10
The equation becomes
y = x + 10
Choice 1
Choice 1 and 3 shows parallel, choice 2 and 4 shows perpendicular. So cross out choices 2 and 4. We’re left with choices 1 and 3. I would go with choice 1 since choice 3 shows RAY A is parallel to RAY B, which isn’t true, they’re not parallel.
Answer:
C Both expressions involve addition
Step-by-step explanation:
W=any whole number
D=any number above 0
Answer:
a
Step-by-step explanation:
given y varies directly as x² and inversely as z³ then the equation relating them is
y = 
← k is the constant of variation
to find k use the condition y = 12 when x = 4 and z = 2 , then
12 = 
= 
( multiply both sides by 8 )
96 = 16k ( divide both sides by 16 )
6 = k
y = 
← equation of variation
when y = 1.728 and z = 5 , then
1.728 = 
= 
( multiply both sides by 125 )
216 = 6x² ( divide both sides by 6 )
36 = x² ( take square root of both sides )
= x , that is
x = 6
