Answer:
Subtract 6 from both sides of the equation. The answer is b = 15. Check the solution by substituting 15 for b
Step-by-step explanation:
b+6 =21
Subtract 6 from both sides
b+6-6 = 21-6
b = 15
Check
15+6 = 21
21=21
The coefficient is 2, because its the only one that has the variable y with it.
hope that helps :)
Answer:
(- ∞, 4 ]
Step-by-step explanation:
To determine the range we require the coordinates of the vertex
The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.
To obtain the zeros, equate f(x) to zero, that is
-(x + 5)(x + 1) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x + 1 = 0 ⇒ x = - 1
= 
= 
= - 3
Substitute x = - 3 into f(x) for corresponding value of y
f(- 3) = - (- 3 + 5)(- 3 + 1) = - (2)(- 2) = 4
Vertex = (- 3, 4)
Since a = - 1 then vertex is a maximum, hence
range is (- ∞, 4 ]
If two angles are supplementary, their measures add to 180 degrees.
Let’s name the angles A and B.
You can substitute or replace angle B in the first equation with the second equation like so:
4
So, angle A is 42.5 degrees and angle B is 137.5 degrees!
Answer:
x=10
Step-by-step explanation:
you know that 12x+5+6x-5=180 you can simplify the equation to 18x=180 and then you can divide both sides by 18 to get that x=10
