1. You con solve the quadratic equation x^2+20x+100=50<span> by following the proccedure below:
2. Pass the number 50 from the right member to the left member. Then you obtain:
x^2+20x+100-50=0
</span><span> x^2+20x+50=0
</span><span>
3. Then, you must apply the quadratic equation, which is:
x=(-b±√(b^2-4ac))/2a
</span><span>x^2+20x+50=0
</span><span>
a=1
b=20
c=50
4. Therefore, when you substitute the values into the quadratic equation and simplify ir, you obtain that the result is:
-10</span>±5√2 (It is the last option).
Answer:
The answer is the last one. Gravity doesn't have direct contact but it is a force we are all affected by.
Step-by-step explanation:
Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,

The odd multiples of 9,
, in the range
form the set

Each member of the set is a term of the arithmetic progression

where the values of
range from 0 to 4, or 
Putting these facts together, we get the result

Learn more about set-builder notation here: brainly.com/question/17238769
Answer:
-1.683
Step-by-step explanation:
Given :
Group 1 :
x1 = 667 ; n1 = 10 ; s1 = 20
Group 2 :
x2 = 679 ; n2 = 14 ; s2 = 15
The test statistic assuming equal variance :
x1 - x2 / √[Sp² * (1/n1 + 1/n2)]
sp² = [(n1 - 1)*s1² + (n2 - 1)*s2²] ÷ (n1 + n2 - 2)
Sp² = [(10 - 1)*20² + (14 - 1)*15²] = 296.59
Test statistic =
(667 - 679)/ √[296.59 * (1/10 + 1/14)]
-12 / 7.1304978
Test statistic = - 1.682
Option C
<u>
Answer:
</u>
The equation in slope intercept form is 
The slope is
and y-intercept is 
<u>Solution:
</u>
The slope - intercept form equation of line is given as
y = mx + c ---- eqn(1)
Where m is the slope of the line. The coefficient of “x” is the value of slope of the line.
c is the y – intercept which is the value of y at the point where the line crosses the y-axis
From question, given that -5x - 12y = 11 --- eqn (2)
On converting equation (2) in slope – intercept form, that is adding 5x on both sides,
-5x - 12y + 5x = 5x + 11
-12y = 5x + 11
Now on dividing -12 on both sides,
---- eqn (3)
Comparing the given equation (3) with equation (1), we get
and 
Hence Option C is correct.