Answer:
The answer to your question is
Step-by-step explanation:
Data
F ( 0, ± √14)
C (±√2, 0)
Process
1.- Calculate c
c is the distance from the center to the foci
c = √14
2.- Calculate b
b is the distance from the center to the co-vertices
b = √2
3.- Calculate a using the Pythagorean theorem
a² = b² + c²
a² = (√2)² + (√14)²
a² = 2 + 14
a² = 16
a = 4
4.- We can conclude that it is a vertical ellipse because the foci are in the y- axis and the co-vertices are in the x-axis.
(x - h)²/b² + (y - k)²/a² = 1
-Substitution
(x - 0)²/(√2)² + (y - 0)²/4² = 1
- Simplification
x²/2 + y²/16 = 1
or
<u>Answer(s):</u>
- Part-1: B and C
- Part-2: C and E
<u>Verification:</u>
<u>Part-1:</u>
Let's simplify the expression.
- => 4(w + 3) - 2
- => 4w + 12 - 2
- => 4w + 10
<u>We got the result, which is 4w + 10. Now, let's see which expressions are equal to 4w + 10.</u>
<u>Option A</u>
- 4w + 3 - 2 = 4w + 10
- => 3 - 2 = 10
- => 1 ≠ 10 (Incorrect)
<u>Option B</u>
- 4w + 12 - 2 = 4w + 10
- => 12 - 2 = 10
- => 10 = 10 (Correct)
<u>Option C</u>
- 4w + 10 = 4w + 10
- => 0 = 0 (Correct)
<u>Option D</u>
- 14w = 4w + 10
- => 10w ≠ 10 (Incorrect)
<u>Option E</u>
- 4w + 12 - 8 = 4w + 10
- => 12 - 8 = 10
- => 4 ≠ 10 (Incorrect)
<u>Option F</u>
- 4w + 4 = 4w + 10
- => 4 ≠ 10 (Incorrect)
Hence, <u>Option B and C are correct.</u>
<h3>__________________________________________________</h3>
<u>Part-2:</u>
Let's simplify the expression.
- 3(2n + 3) + 9
- => 6n + 9 + 9
- => 6n + 18
Now, let's verify all options to see which are correct.
<u>Option A</u>
- 15n + 9 = 6n + 18
- => 9n ≠ 9 (Incorrect)
<u>Option B</u>
- 6n + 3 + 9 = 6n + 18
- => 6n + 12 = 6n + 18
- => 12 ≠ 18 (Incorrect)
<u>Option C</u>
- 6n + 18 = 6n + 18
- => 0 = 0 (Correct)
<u>Option D</u>
- 6n + 6 + 9 = 6n + 18
- => 6n + 15 = 6n + 18
- => 15 ≠ 18 (Incorrect)
<u>Option E</u>
- 6n + 27 - 9 = 6n + 18
- => 6n + 18 = 6n + 18
- => 0 = 0 (Correct)
<u>Option F</u>
- 3(5n) + 9 = 6n + 18
- => 15n + 9 = 6n + 18
- => 9n ≠ 9 (Incorrect)
Hence, <u>the answers are Option C and E.</u>
<h3>__________________________________________________</h3>
Hoped this helped.
Answer:
6758
Step-by-step explanation:
Number of steps in Monday = 8565 steps
Number of steps in Tuesday = 14707 steps
Number of steps in Wednesday = 15323 steps
Number of steps in Thursday = 9788 steps
Number of steps in Friday = 12482 steps
Formula for range = Highest value – Lowest value
Here, highest value = 15323 and lowest value = 8565
Range of the number of steps = 15323 – 8565 = 6758
Hence, range of the number of steps is 6758 steps.
Answer: x = (-2,0) y = (0,-3) slope is -3/2
Step-by-step explanation: graph the line by using the slope and y intercept