Answer:
x = 11, y=-½
Step-by-step explanation:
Simultaneous equations - subtract the first equation from the second.
x + 4y = 9
-(x - 2y = 12)
6y = -3
y = -½
Substitute y
x + 4(-½) = 9
x + -2 = 9
x = 11
The slope of this trend line is m = (0-28) / (14-0) = -2. The y-intercept can be read directly from the graph: It is 28. Thus, the equation of this trend line is k = -2J + 28.
Answer:
y = 25.20 m
Step-by-step explanation:
By applying tangent rule in ΔABC,
tan(25)° = 
= 
BC = 
--------(1)
Now we apply tangent rule in ΔABD,
tan(15)° = 
tan(15)° = 
BC + 40 = 
BC = - 40 -------(2)
From equation (1) and (2),
![y[\frac{1}{\text{tan}(25)}-\frac{1}{\text{tan}(25)}]=-40](https://tex.z-dn.net/?f=y%5B%5Cfrac%7B1%7D%7B%5Ctext%7Btan%7D%2825%29%7D-%5Cfrac%7B1%7D%7B%5Ctext%7Btan%7D%2825%29%7D%5D%3D-40)
y(2.1445 - 3.7321) = -40
1.5876y = 40
y = 25.1953
y ≈ 25.20 m
Therefore, measure of y is 25.20 m.
Answer:
Step-by-step explanation:
<2 and <8 are alternate exterior angles
<4 and <6 are alternate interior angles
<3 and <6 are corrosponding angles
Answer:
y= 3x +11
Step-by-step explanation:
<u>slope-intercept form:</u>
y= mx+c, where m is the gradient and c is the y-intercept.
Given that the slope is 3, m=3
substitute m=3 into the equation:
y= 3x +c
To find the value of c, substitute a coordinate.
When x= -3, y=2,
2= 3(-3) +c
c -9= 2
c= 9 +2 <em>(</em><em>+</em><em>9</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
c= 11 <em>(</em><em>s</em><em>implify</em><em>)</em>
Thus, the equation of the line is y= 3x +11.
