Answer:
{x = -1 + √13 , x = -1 - √13}
Step-by-step explanation:
<u><em>Completing the square</em></u>:
f(x) = x² + 2x - 12
= x² + 2x + 1 - 1 - 12
= (x² + 2x + 1) - 1 - 12
= (x + 1)² - 13
<u><em>Solving</em></u>:
f(x) = 0
⇔ (x + 1)² - 13 = 0
⇔ (x + 1)² = 13
⇔ x + 1 = √13 or x + 1 = -√13
⇔ x = -1 + √13 or x = -1 - √13
Answer:

Step-by-step explanation:
Given:
We took here a Right Angle Triangle,Δ ABC at angle B as 90°
Side opposite to angle A = a
Side opposite to angle B = b = Hypotenuse
Side opposite to angle C = c
To Find:
Sin A = ?
Solution:
Property of a Sine rule for a Right Angle Triangle.

∴ 
Answer:
mean = 254.6
median = 120
mode = 60
midrange = 958
For average data sets i prefer by finding the mean
Step-by-step explanation:
mean :
(98+120+493+206+73+102+183+870+76+60+60+112+147+1018+201) ÷ 15 = 254.6
median : 60 60 73 76 98 102 112 120 147 183 201 206 493 870 1018
find the middle number
= 120
mode :
number that is more than one
= 60
midrange :
highest number - smallest number
= 1018 - 60
= 958
Answer is D
XY = DE
-------------------
Answer:
50 times
Step-by-step explanation:
You are going to flip a coin 100 times. There are 2 sides. So, what you would do is divide 100 by two because there are two sides. There is a 50% chance that the coin will land on heads, and a 50% chance it will land on tails.
Please let me know if you have any more questions. Hope this helps!