Answer:
4th option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x - 6 ← is in slope- intercept form
with slope m = 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = -
and (a, b ) = (- 2, 5 ) , then
y - 5 = -
(x - (- 2) ) , that is
y - 5 = -
(x + 2)
Answer:
True
Step-by-step explanation:
Evaluate 18 x - 2 (3 x + 1) = 5 x - 16 where x = -2:
-2×18 - 2 (1 - 2×3) = -2×5 - 16
3 (-2) = -6:
-2×18 - 2 (-6 + 1) = -2×5 - 16
1 - 6 = -5:
-2×18 - 2-5 = -2×5 - 16
18 (-2) = -36:
-36 - 2 (-5) = -2×5 - 16
-2 (-5) = 10:
10 - 36 = -2×5 - 16
5 (-2) = -10:
10 - 36 = -10 - 16
10 - 36 = -26:
-26 = -10 - 16
-10 - 16 = -26:
-26 = -26
-26 is equal to -26:
Answer: True
Answer:
2 (x-5) = 10
2x-10 = 10
2x = 10 + 10
x = 20/2
x = 10
Step-by-step explanation:
You plug in 2x in the equation for y. Since y =2x. 6x+7(2x)=8 6x+14x=8. 20x=8. X=8/20. X=2/5. Is your final answer
We have been given a function
. We are asked to find the amplitude, period and phase shift of the function
We can see that our given function is in form
, where,
= Amplitude.
Period = 
C = Horizontal shift,
D = Vertical shift.
We can see that value of a is 1, therefore, the amplitude of given function would be 1.
We can see that B is equal to 8, so we will get:

Therefore, the period of given function is
.
Since the value of C is 1, therefore, horizontal shift is 1.
Since the value of D is 2, therefore, vertical shift would be 2.