Answer:
0
Step-by-step explanation:
On a graph, any line that is horizontal has a slope of zero. Try any points and and plug them into the slope formula equation
(Y2-Y1/X2-X1).
The answer will always be zero.
Answer:
0.675 m/s
Step-by-step explanation:
Let height of shadow= y,CD=x
Height of man=2 m
Speed of man= 

Therefore, 


Differentiate w.r.t t



When the man is 4 m from the building
Then, we have x=12-4=8 m

Substitute the values in above equation then, we get


Substitute the values then we get

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.
Answer:
9
Step-by-step explanation:
To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. Ax and Ay are the x and y coordinates for the vertex of A. The same applies for the x and y notations of the B and C vertices.
Fill in the numbers for each corresponding letter combination within the formula.
Fill in your formula like this: 0(8-10) + 3(0-0) + 9(0-8).
Subtract the numbers within the parentheses.
0 from 8 = 8, 0 from 0 = 0 and 8 from 10 = 2.
Multiply that result by the number to the left of the parentheses.
0 by 8 = 0, 3 by 0 = 0 and 9 by 2 = 18.
Add the three products together.
0 + 0 + 18 = 18
Divide the sum of the three products by 2.
18 ÷ 2 = 9
Answer:
20 square inches
Step-by-step explanation:
No. of bags Huma has : 4
No. of tiles in one bag: 6
Total no . of tiles in 4 bag = 4 * No. of tiles in one bag
= 4*6 = 24
No of tiles left with huma = 4
Let x be the no of tiles used to cover rectangle
Hence,
sum of no. of tiles left with huma and no of tiles used to cover rectangle should be equal to Total no . of tiles in 4 bag
mathematically
no. of tiles left with huma(4) + no of tiles used to cover rectangle (x) = Total no . of tiles in 4 bag (24)
4 + x = 24
subtracting 4 from both sides
4 + x -4 = 24 - 4
=> x = 20
Thus, 20 square inches tiles are used to cover the rectangle.
This means that area of rectangle is 20 square inches .
If we multiply the top equation by -4 we can get rid of the x so:
-4x+20y=-12
4x-4y=12
Add these up
16y=0
Y=0
X=3