Answer:
2y-3x+15 = 0
Step-by-step explanation:
let the equation of the perpendicular line: y=mx+c.
Given equation : 2x+3y=12
=> y=-2/3 x+4
so the sope of the equation is m1= -2/3.
as the two lines are mutually perpendicular,
so, m1*m2=-1
=> (-2/3)*m2= -1
=> m2= 3/2
the paerpendicular line : y=(3/2) x+c.
this line pass through (7,3)
so, 3 = (3/2)*7+c
=> c = -15/2
so the perpendicular line y = (3/2)*x -15/2
=> 2y-3x+15 = 0
Answer:
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = 1/3·B·h
where B represents the area of the base and h represents the height.
The area of a triangle is given by the formula ...
A = 1/2·b·h
where b represents the length of the base of the triangle, and h represents the height of the triangle.
For a right triangle, the base and height can be taken to be the lengths of the two legs. Then we have
A = 1/2·(15 cm)·(24 cm) = 180 cm²
The volume of the pyramid is then ...
V = 1/3·(180 cm²)(13 cm) = 780 cm³
The volume of the pyramid is 780 cm³.
<u> Her real salary has fallen and her nominal </u><u>salary </u><u>has risen. option</u><u> (d)</u><u> is correct .</u>
What is called wage?
- A wage is money that is paid by an employer to an employee in exchange for work.
- The amount may be fixed for each task completed (this is called piece rate); or it may be based on time or other measurable quantity of work done.
- Work for wages is the most common form of work.
Her real salary has fallen and her nominal salary has risen.
<u>Reason -</u> She can generate lesser goods so her real wage decreases and $200 leads to increase in nominal salary .
So, option (d) is correct .
Learn more about wage
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<u>The complete question is -</u>
An associate professor of physics gets a $200 a month raise. With her new monthly salary she can buy more goods and services than she could buy last year. a. Her real and nominal salary have risen. b. Her real and nominal salary have fallen. c. Her real salary has risen and her nominal salary has fallen. d. Her real salary has fallen and her nominal salary has risen.
Using slip and slide
2x^2+7x+6
x^2+7x+12
(x+3)(x+4)
(2x+3)(x+2)
The best answer is none of the above.
When foiling the answer choices,
A: 2x^2+10x+8
B: 2x^2+8x+6
C: 2x^2+5x+3
D: 4x^2+10x+6
