Do 63*15.75 and you should get your answer
992 1/2
Answer:
y=1/2 x -2 is the perpendicular line equation
Step-by-step explanation:
y=1/2 x + b
solving for b:
-3=-1 +b
b==- 3+1 = -2
Answer:
x = 9
Step-by-step explanation:
Given y varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition y = 6 when x = 27
27 = 6k ( divide both sides by 6 )
4.5 = k
x = 4.5y ← equation of variation
When y = 2 , then
x = 4.5 × 2 = 9
See the picture for all detail, I have done it by hand.
Few important steps;
-Take the first derivative
-Put it equal to zero
-you get the x value which is equal to 11
-Now for the check that x=11 is the least value or not, take the second derivative
-As, the 2nd derivative is positive so it is the least value
As x=0 in 1964 add 11 to it so at
x=11 we get 1975 so in this year car have least value
With the properties of rectangle in mind we must perform two verification. Verify to see if opposite sides are parallel and adjacent sides are perpendicular.
We need to determine the slope of each side, using the formula,

<u>Slope of AB</u>




<u>Slope of BC</u>



<u>Slope of CD</u>




<u>Slope of AD</u>



<u>Verify Parallel sides</u>
If the quadrilateral is a rectangle, then opposite sides should have the same slope. But


<u>Verify Perpendicularity</u>
And also the product of slopes of all sides with a common vertex should be -1. But




Since the quadrilateral fails to satisfy all these conditions, the quadrilateral is not a rectangle