Answer:
I think d = 6 because 24 + 6 = 30
Answer:
x = ±i, x = -3, and x = -1
Step-by-step explanation:
If x = -1 is a solution, then x + 1 is a factor. Using grouping:
x⁴ + 4x³ + 4x² + 4x + 3 = 0
x⁴ + 4x³ + 3x² + x² + 4x + 3 = 0
x² (x² + 4x + 3) + x² + 4x + 3 = 0
(x² + 1) (x² + 4x + 3) = 0
(x² + 1) (x + 3) (x + 1) = 0
All the solutions are x = ±i, x = -3, and x = -1.
The answer is c.) 2%. Since the question is talking about false negatives, meaning the chance that the results are false, then we take a look at the 98% which represents the chance of giving an accurate result for the people who are not infected meaning for those who are positive. Thus, the answer is 2% because this is the remaining percentage if 100-98%.
n, n + 2, n + 4 - three consecutive odd ntegers
n + (n + 2) + (n + 4) = 5(n + 2) - 18 |use distributive property
n + n + 2 + n + 4 = (5)(n) + (5)(2) - 18
3n + 6 = 5n + 10 - 18
3n + 6 = 5n - 8 |subtract 6 from both sides
3n = 5n - 14 |subtract 5n from both sides
-2n = -14 |divide both sides by (-2)
n = 7
n + 2 = 7 + 2 = 9
n + 4 = 7 + 4 = 11
Answer: 7, 9, 11.
9514 1404 393
Answer:
- perimeter: 36 +16√5 ft ≈ 71.777 ft
- area: 288 ft²
Step-by-step explanation:
<u>Perimeter</u>
The perimeter is the total length of all the sides. The length of the horizontal sides is 8 ft + 10 ft = 18 ft. The length of the slant sides can be found using the Pythagorean theorem. For side length s, we have ...
s^2 = 8^2 + 16^2
s^2 = 64 +256 = 320
s = √320 = 8√5
Then the perimeter is ...
P = 2(8√5 + 18) = 36 +16√5 ≈ 71.777 . . . feet
__
<u>Area</u>
The area is given by the formula ...
A = bh
where b is the base and h is the height.
A = (18 ft)(16 ft) = 288 ft²
