Answer: The equation of the perpendicular line intersects the point (-5,1) is y=x+6[/tex]
Step-by-step explanation:
step1:-
The standard form of slope - intercept form y=m x+c
Here m is called slope of the given line
C is called the y- intercept of the given line
Given equation of the straight line y=-x+1
comparing the slope - intercept form y=m x+c
here m= -1 and c=1
step2:-
The equation of the perpendicular line is
} =\frac{-1}{m} (x-x_{1} )[/tex]
substitute m = -1 and c =1 values in equation
step3:- The equation of the perpendicular line intersects the point (-5,1) is
y=x+6[/tex]
<u>conclusion</u><u>:</u>-
The equation of the perpendicular line is
y=x+6[/tex]
Hello from MrBillDoesMath!
Answer:
For 0 <= x < =40 the function is that of the straight line 15x which has slope 15. Note that at x = 40 the value of the function is 15(4) =600
For x > 40 , the function is another straight line but with slope 20. This line is steeper than the 15x line but for x near, but slightly greater than 40, the value is close to 600 + 20 (40-40) or 600 + 20(40-40) = 600. This is the same value as the first line, 15x, at x = 40.
In summary, the graph of p(x), from 0 <= x <=40, is a line of slope 15 and for x>40 is a line of slope 20. p(x) has a removable discontinuity at x = 40 because p(x) approaches 600 as x approaches 40, regardless of the method of approach (i.e. whether x approaches 40 from values less than 40 or from values greater than 40)
Thank you,
MrB
Answer:
The answer is A!!
Step-by-step explanation:
Number defective=4
number of non-defective=total-defective
=20-4
=16
the questions asked for 1 defective
so we choose only 1 defective from 4 defective items
4C1
and for 1 non-defective
we choose only 1 non-defective from 16 non-defective items
16C1
we choose 2 items from 20 items
so 20C2
answer:
probability= [(4C1) * (16C1)] /(20C2)
=32/95
Answer: C
<u>Step-by-step explanation:</u>
h · k(x) = 2(3x - 5)(-2x + 1)
= (6x - 10)(-2x + 1)
= -12x² + 6x + 20x - 10
= -12x² + 26x - 10
