Answer:
Step-by-step explanation:
Answer:

Step-by-step explanation:
A line that passes through the point (4,-6) has a slope of 5/-4. Which of the following gives the equation of the line?
With the slope of 5/-4, and the ordered pair (4,-6) :
let m = 5/-4 (slope),
x1 = 4
y1 = -6
We can use those given values into the point-slope formula:
y - y1 = m(x - x1)
Plugging in those values will give you the answer:
y - (-6) =
(x - 4)
Distribute
into the terms inside the parenthesis:
y + 6 =
+ 5
Subtract 6 from both sides to isolate y:
y + 6 - 6 =
+5 - 6
The equation of the line in slope-intercept form is:
Given:


To find:
The quadrant in which
lie.
Solution:
Quadrant concept:
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II, only
and
are positive.
In Quadrant III, only
and
are positive.
In Quadrant IV, only
and
are positive.
We have,


Here,
is negative and
is also negative. It is possible, if
lies in the Quadrant IV.
Therefore, the correct option is D.
I have attached an image of how I solved this problem:
Answer:
C.7, -2
Step-by-step explanation:
A quadratic equation is a polynomial of degree two. A quadratic equation is in the form:
ax² + bx + c = 0; where a, b, c are constants.
Quadratic equation can be solved using different methods, such as completing the square method, quadratic formula.
Solving the equation 2x² - 10x - 20 = 8 using completing the square:
2x² - 10x - 20 = 8
2x² - 10x = 28
Divide through by 2, to make the coefficient of x² to be 1:
x² - 5x = 14
Add to both sides, the square of half of the coefficient of x [i.e. (-5/2)² = 6.25]
x² - 5x + 6.25 = 14 + 6.25
(x - 2.5)² = 20.25
taking square root of both sides:
x - 2.5 = √20.25
x - 2.5 = ±4.5
x = 2.5 ± 4.5
x = 2.5 + 4.5; or x = 2.5 - 4.5
x = 7 or x = -2