Answer:
Vertex: (-1/2, -25/4)
Focus: (-1/2, -6)
Axis of Symmetry: x=-1/2
Directrix: y=-13/2
Step-by-step explanation:
x = -2, -1, -1/2, 1, 2
y = -4, -6, -25/4, -4, 0
Answer:
y + 1 = 3(x + 8)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3 and (a, b) = (- 8, - 1) , thus
y - (- 1) = 3(x - (- 8)), that is
y + 1 = 3(x + 8)
Answer:
31 + 4y
Step-by-step explanation:
4(6+y)+7
Expand the brackets.
24+4y+7
Rearrange.
4y + 24 + 7
Add the like terms.
4y + 31
Answer:

Step-by-step explanation:
The complete question in the attached figure
we know that
The surface area of a cube is equal to the area of its 6 squares faces
so
The area of one square face is equal to

where
b is the length side of the square
we have

substitute
---> area of one square face
Find the surface area of three cubes
Multiply the area of one square face by 6 (one cube has 6 faces) and then multiply the result by 3 (3 cubes)
so
![SA=3[6(1)]=18\ ft^2](https://tex.z-dn.net/?f=SA%3D3%5B6%281%29%5D%3D18%5C%20ft%5E2)
Given
GO.o has 3 orange picks for every 2 green
there are 25 picks in all
Find out how many picks are orange.
To proof
As given in question
GO.o has 3 orange picks for every 2 green
i.e the ratio of orange to every green becomes

total number of picks = 25
let the GO.o pick of 3 orange picks for every 2 green =x
than the equation becomes
3x + 2x = 25
5x = 25
x = 5
Than
the number of oranges = 3x
putting the value of x
= 15
the number of green = 2x
= 10
thus the 15 picks are orange.
Hence proved