Answer:
64
Step-by-step explanation:
Note that each new term of this geometric sequence is 2x the previous term.
If the sequence starts off as 2, 4, 8, 16, 32 ... , then the next term is 2(32) = 64.
(Where did the '48' come from?)
We want to find the slope-intercept equation of the line passing through (-2,-5) with a slope of 0.
Note that since the slope is 0, the line will be horizontal, as there will be no change.
And since it passes through the point (-2,-5), the equation of the horizontal line must be y = -5. Since the line is horizontal, the x-coordinate is irrelevant.
In conclusion, our equation is y = -5.
Answer:
m∠B = 69°
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Complementary Angles add up to 90°
Step-by-step explanation:
<u>Step 1: Define</u>
m∠A = (x + 9)°
m∠B = (7x - 15)°
<u>Step 2: Set up equation</u>
m∠A + m∠B = 90°
(x + 9)° + (7x - 15)° = 90°
<u>Step 3: Solve for </u><em><u>x</u></em>
- Combine like terms: 8x - 6 = 90
- Add 6 to both sides: 8x = 96
- Divide both sides by 8: x = 12
<u>Step 4: Find m∠B</u>
- Define: m∠B = (7x - 15)°
- Substitute: m∠B = (7(12) - 15)°
- Multiply: m∠B = (84 - 15)°
- Subtract: m∠B = 69°
Answer:
The first option
Step-by-step explanation:
slope is -2/6
I.e. -1/3
