a) The equation of line k is:
b) The equation of line j is:
The equation of a line, in <u>slope-intercept formula</u>, is given by:
In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
- Line k intersects line m with an angle of 109º, thus:
In which 
and 
are the slopes of <u>k and m.</u>
- Line k goes through points (-3,-1) and (5,2), thus, it's slope is:
- The tangent of 109 degrees is
- Thus, the slope of line m is found solving the following equation:
Thus:
It goes through point (-2,6), that is, when 
, and this is used to find b.
Thus. the equation of line k, in slope-intercept formula, is:
Item b:
- Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.
Thus, the slope of line j is:
Then
Also goes through point (-2,6), thus:
The equation of line j is:
A similar problem is given at brainly.com/question/16302622
Look at the picture. I have no idea why I can't add an answer.
So y=2x is the only answer that fit y=kx, while k=2
Answer:
False
Step-by-step explanation:
Every where I looked it shows nothing about the Coriolis effect is the measurement of wind speed based on friction from mountains.
Area of rectangle = 2(2w - 5) is the factored form of given expression
Multiplying the length and width of a rectangle, we get the area of the rectangle
<em><u>Solution:</u></em>
Given that, area of rectangle is 4w - 10 square units
We have to factor the expression
From given,
Area of rectangle = 4w - 10
Take 2 as common factor
Area of rectangle = 2(2w - 5)
Thus the given expression is factored
<em><u>The area of rectangle is given as:</u></em>
Thus, multiplying the length and width of a rectangle, we get the area of the rectangle
When we multiply 2 with 2w - 5 we get the area of rectangle
From above we can say,
Length = 2 or 2w - 5
Width = 2w - 5 or 2
So when dimensions of rectangle are multiplied we get area of rectangle
