Given:
Equation of line 
.
To find:
The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.
Solution:
The given equation of line can be written as
Slope of line is
Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is
![[\because m_1=\dfrac{7}{4}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20m_1%3D%5Cdfrac%7B7%7D%7B4%7D%5D)
Now, the slope of perpendicular line is 
and it goes through (-21,2). So, the equation of line is
Therefore, the required equation in slope intercept form is .
Answer:
Step-by-step explanation:
Given point (0, 1) and the slope m = 2
<u>Use point- slope form to find the equation of the line:</u>
- y - y₁ = m(x - x₁)
- y - 1 = 2(x - 0)
- y - 1 = 2x
- y = 2x + 1
Answer:
3/10
Step-by-step explanation:
Total paper clip =6+3+4+2+5
=20
Probability of green = number of green/total
= 6/20
leaving in it's lowest term
probability of green=3/20
Answer:
B
Step-by-step explanation:
First calculate BD using sine ratio in Δ BCD and the exact value
sin60° = 
, thus
sin60° = 
= 
= 
= ( cross- multiply )
2BD = 12
( divide both sides by 2 )
BD = 6
-----------------------------------------------------------
Calculate AD using the tangent ratio in Δ ABD and the exact value
tan30° = 
, thus
tan30° = 
= 
= 
= ( cross- multiply )
AD = 6 ( divide both sides by )
AD = 6 → B
