Answer:
first you'I study and just a question from this app
Answer:
y = 3.33x - 18
Step-by-step explanation:
In order for a line to be perpendicular to another, it must have a slope with the negative reciprocal
- Here in the equation y = -0.3z + 6 has a slope of -0.3 (can also be written as
) - A line that is perpendicular to this line will need to have a slope of 3.33 repeating (or
) - I will using fractions for simplicity and convert to decimals afterwards
Since we have our slope and the two points, we can plug them into y = mx + b to solve for b and write our new equation of a line
- Substituting in the values that we have we get:
- Simplifying we get -8 = 10 + b, making b = -18
Now that we have our slope and our y-intercept we can plug them into the same formula used before to find our perpendicular line:
which can also be written as y = 3.33x - 18
Answer:
C ) y + 3 = 1/4 ( x + 4 )
Explanation:
Given that you did not include the "given line", I can help you by explaning how to solve this kind of problems, step by step.
The procedure is based of the property of perpendicular lines: the product of the slopes of perpedicular lines is negative 1.
If you call m1, the slope of a line and m2 the slope of a perpendicular line, then:
m1 * m2 = - 1, and you can solve for either m1 or m2:
m1 = - (1 / m2)
m2 = - (1 / m1).
With that this is the procedure:
1) find the slope of the "given line". Name it m1.
2) find the slope of the perpendicular line:
m2 = - (1 / m1).
3) Use the equation of the line with the point (x1,y1) and slope m2
y - y1
-------- = m2
x - x1
4) In this case the point is (-4, - 3)=> x1 = - 4, y1 = - 3
=>
y - (-3)
---------= m2
x - (-4)
=> y + 3 = m2 * (x + 4)
=> y = m2*x + m2 * 4 - 3
Which is the point-slope form. You only have to replace m2 with the slope value of the perpendicular line, which I already explained that you find as m2 = (-1/m1).
Taking that the other line has m1 = - 4 so m2 = 1/4
y = (1/4)x + (1/4) * 4 - 3
y = (1/4) (x +4) - 3
y + 3 = (1/4) (x + 4) and answer is:
C ) y + 3 = 1/4 ( x + 4 )
Answer:
A. ху
Step-by-step explanation:
Assuming your x'y' is xy with the variables to the first power, that is the term with the smallest x- and y-exponents. It is a factor of all the other terms so is the <em>greatest common factor</em> of all the terms.
The answer is 4y^4.
Comment if you want me to explain.
