Answer:
.
Step-by-step explanation:
A line that goes through
and
where
would have a slope of
.
The slope of the line that goes through
and
would thus be:
.
Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is
.
Thus, if
and
denote the slope of the first and second lines in this question,
since the two lines are perpendicular to one another. Since
, the slope of the first line would be:
.
Given that the first line goes through the point
, the point-slope equation of that line would be:
.
.
Substitute in
to find the
-coordinate of the point in question:
.
Answer:
D
Step-by-step explanation:
The perimeter of answer A is 6+6+8+8 which is 12+16=28
The perimeter of answer B is 7+7+7+7 which is 28
The perimeter of answer C is 7+7+6+6 which is 14+12=26
The perimeter of answer D is 9+9+6+6 which is 18+12 which is 30
Given that the difference between the roots of the equation

is

.
Recall that the sum of roots of a quadratic equation is given by

.
Let the two roots of the equation be

and

, then

. . . (1)
Also recall that the product of the two roots of a quadratic equation is given by

, thus:

. . . (2)
From (1), we have:

Substituting for alpha into (2), gives:
Answer:
भारत निर्वाचन आयोग (अंग्रेज़ी: Election Commission of India) एक स्वायत्त एवं अर्ध-न्यायिक संस्थान है जिसका गठन भारत में स्वतंत्र एवं निष्पक्ष रूप से विभिन्न से भारत के प्रातिनिधिक संस्थानों में प्रतिनिधि चुनने के लिए किया गया था। भारतीय चुनाव आयोग की स्थापना 25 जनवरी 1950 को की गयी थी।