Answer:
26
Step-by-step explanation:
Given
4x - a ← substitute a = - 2, x = 6 into the expression
= 4(6) - (- 2) [ note - (- ) is equivalent to + ]
= 24 + 2
= 26
The coordinates of point B are (-4 , -2) ⇒ answer H
Step-by-step explanation:
In any circle
- The diameter of the circle passing through its center
- The center of the circle is the mid-point of all diameters
If (x , y) are the coordinates of the mid-point of a line whose end
points are 
and 
, then
and 
∵ Point C is the center of a circle
∵ AB is the diameter of the circle
∴ C is the mid point of AB
∵ A = (2 , 6) ⇒
∵ B =
∵ C = (-1 , 2) ⇒ (x , y)
- Use the rule of the mid-point above
∵ 
- Multiply both sides by 2
∴ -2 = 2 + 
- Subtract 2 from both sides
∴ = -4
∴ The x-coordinate of point B is -4
∵ 
- Multiply both sides by 2
∴ 4 = 6 + 
- Subtract 6 from both sides
∴ = -2
∴ The y-coordinate of point B is -2
The coordinates of point B are (-4 , -2)
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Answer:
Domain {-2,0,2}
Range {-2,0,2}
Relation is a Function
Step-by-step explanation:
We are given a relation:
{ (-2,-2) , (0,0) , (2,2) }
Domain can be defined as the all possible values of x for a relation. It is considered as a set of all first values of the ordered pairs of a given relation.
Domain of the given relation is {-2,0,2}
Range can be defined as all possible value of y which corresponds to the values of x in the domain. It is considered as a set of all second values of the ordered pairs of a given relation.
Range of the given relation is {-2,0,2}
A relation is a function if only there is one value of y for each value of x. If in the set of ordered pair of the relation, the value of x gets repeated, then the relation is not a function.
As no values of x are getting repeated, the relation is a function.
There is not enough information to answer :(
Assuming that both triangles are an exact copy of one another, it is safe to assume that 3y-7 is equal to 41. Set up an equation
3y-7=41
Add 7 to both sides
3y=48
Divide both sides by 3
y=16
Now to find PN.
Based on what we know, we can assume that MP = PN. Let's make some equations!
MP = 17x-8 PN = 11x+4
17x-8 = 11x+4
Subtract 11x from both sides
6x-8 = 4
Add 8 to both sides
6x = 12
Divide by 2
x=2
Substitute 2 in for x in the equation for PN
11(2)+4
Multiply 11 by 2
22+4 = 26
PN = 26
