Answer:
x = 5, -3
Step-by-step explanation:
2x² - 4x - 5 = 25
add 5 to each side
2x² - 4x = 30
factor out the 2
2(x² - 2x) = 30
divide both sides by 2
x² - 2x = 15
divide b by 2, square it -- (b/2)², and add it to both sides
-2/2 = -1 → -1² = 1
x² - 2x + 1 = 15 + 1
factor the expression on the left -- this will be [x - (b/2)]²
(x - 1)² = 16
find the square root of both sides
x - 1 = ±4
add 1 to both sides
x = 4 + 1
x = -4 + 1
solve
x = 5, -3
Answer:
32.54%
Step-by-step explanation:
To determine the probability that an individual song has a danceability of at least 0.7
Applying the excel formula below
=COUNTIF ( I2:I4771,">0.7") / ROWS( I2:I4771)
Hence ; The probability of an individual song having a danceability of at least 0.7 = 32,54%
Answer:
.
Step-by-step explanation:
In ΔEMR and ΔNMR
MN ≅ MA Given
∠EMR ≅∠NMR Reflexive property
ME ≅ MR Given
ΔEMR ≅ ΔNMR S A S congruent - side Angle side
∠E ≅ ∠R Corresponding Part of Congruent Triangles
Answer:
226 cm^2
Step-by-step explanation:
It’s literally a rectangular prism If you put it together. The side with 2 cm and 11 cm , the surface area is 22 and since this is a rectangular prism, that means there is a second of the same kind. Then you get the larges box, since you know that the top side is 11 and the left side is 7, you multiply that * 2 which you then get 154. You add that up with the side that you solved before so 154 + 44 = 198. You then figure out the left side 7 * 2 * 2 (because there are two of them). 28 + 198 = 226 cm^2.
