Answer:
midpoint is y2+y1/2, x2+x1/2 therefore 3+1/2,-6+-4/2,4/2,-10/2 and the answer is (2,-5 )
Step-by-step explanation:
equation of the line passing through two points
x-x1/x2-x1=y-y1/y2-y1
x-(-8)/1-(-8)=y-2/9-2
x+8/9=y-2/7
7x+56=9y-18
9y=7x+56+18
y=7/9x+74/9
y=mx+b m is the slope
so m=7/9
there is a short way showing slope shown in the picture
Answer:
The other 3 numbers you are looking for are:
24/11
84/11
96/11
Step-by-step explanation:
We can start off by making the numbers 2x, 7x, and 8x. We put them in expressions:
(7x-12)^2=2x(8x)
Simplify
49x^2-168x+144=16x^2
Subtract 16x^2 on each side
33x^2-168x+144=0
Divide by 3
11x^2-56x+48=0
Factor
(11x-12)(x=4)=0
Answer
x=4 or x=12/11
If x is equivalent to 4 then that means that the original numbers would be:
8, 28, 32
2(4), 7(4), 8(4)
Subtracting 12 from Y, or 28 will make it 16.
8, 16, 32
This seems to be a geometric progression
Next we have 12/11
2(12/11), 7(12/11), 8(12/11)
24/11, 84/11, 96/11
Subtracting 12 from Y, or 84/11 will get us -48/11, meaning r=-2 for the GP.
Final Answer:
8 , 28 , 32
24/11 , 84/11 , 96/11
Answer:
Answer Cone Z and Cylinder Y.
Step-by-step explanation:
The relationship between the volume of the cone and the volume of the cylinder with the same height and same base is the volume of the cone is 1/3 of the volume of the cylinder.
The formula for the volume of the cone is :
V = 1/3π
h
The formula for the volume of the cylinder is :
V = πh
Let be the height of the cylinder Y. Therefore the height of the cone Z is 3h, when we put it into the formula we get :
V = 1/3π (3h) = πh
Therefore Cone Z and Cylinder Y have same volume.
Answer:
112 cm^2
Step-by-step explanation:
Area of a rhombus is equal to half of the product of the diagonals, so it is 14 * 2 * 8 / 2 = 14cm * 8cm = 112 cm^2.
Other point of view: It is the sum of areas of two triangles of area 14*8/2. So the area is 14*8.
