Answer:
\[y = (-1/2) * x + 6\]
Step-by-step explanation:
Equation of the given line: y=2x+2
Hence the slope of the line is given by 2
Any line which is perpendicular to the given line will have a slope m such that m*2 = -1
Or, \[m = \frac{-1}{2}\]
Only options 2 and 3 satisfy this condition.
The line is also supposed to pass through the point (6,3).
Substituting these values in the option 2:
\[3 = (-1/2) * 6 + 3\]
Or, \[ 3 =0 \] which is false . Hence option 2 is not valid.
Now substituting (6,3) in option 3:
\[3 = (-1/2) * 6 + 6\]
Or, \[ 3 =3 \] which is true . Hence option 3 is the required equation of the line.
Answer:
y= (-7/16)
Step-by-step explanation:
Multiply (3/4)(1/4)= (3/16)
y= (3/16)-(5/8)
y= (-7/16)
I hope this is right, im not 100% sure
Answer:
1 result(s) found
25
9⋅(r−25)
Step-by-step explanation:
Answer: 0.60
Step-by-step explanation:
Given: Mean : 
Standard deviation : 
The formula to calculate z is given by :-
For x= 20 minutes
The P Value =
Hence, the probability that a randomly selected shopper will spend less than 20 minutes in the store= 0.60
Answer:
76.5 cm²
Step-by-step explanation:
Given the triangles are similar , then
ratio of sides = a : b , so
ratio of areas = a² : b²
Here ratio of sides = 9 : 13.5 = 2 : 3
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ DEF and using proportion
= 
( cross- multiply )
4x = 306 ( divide both sides by 4 )
x = 76.5
The area of Δ DEF = 76.5 cm²
