Move all the x terms to one side and solve for x. 15x-10x=21-6 : 5x/5=15/5 : x=3
Answer:
angles 1, 3, 6, 8 = 142°
angles 2, 4, 5, 7 = 38°
Step-by-step explanation:
Vertical angles and corresponding angles are congruent, as are alternate interior angles. Hence the angles 1, 3, 6, 8 are all congruent:
∠1 = ∠3 = ∠6 = ∠8 = 142°
Each of the remaining angles forms a linear pair with one or another of those, so is its supplement:
∠2 = ∠4 = ∠5 = ∠7 = 180° -142° = 38°
1. Answer: Vertical shift up 3 units and vertical stretch by factor of 2
<u>Step-by-step explanation:</u>
f(x) = √x
g(x) = 2√x + 3
- adding 3 is a vertical shift up 3 units
- multiplying by 2 is a vertical stretch by factor of 2
2. Answer: Domain: [0, ∞)
Range: [3, ∞)
<u>Step-by-step explanation:</u>
g(x) = 2√x + 3
Domain: The restriction on "x" is that the radical must be greater than or equal to 0. So, x ≥ 0 Interval Notation: [0, ∞)
Range: Since the radical must be greater than or equal to 0, then 2√x is also greater than or equal to 0. Add 3 to that and y ≥ 3. Interval Notation: [3, ∞)
Answer:
Step-by-step explanation:
45x = 9*5*x
81 = 9*9
GCF = 9
Take 9 out using distributive property { a*b - c*b = b*(a-b)}
45x - 81 = 9*5x - 9*9
= 9*(5x - 9)
=9(5x-9)