Answer:
y = 2( x+5)^2 -4
Vertex (-5,-4)
directrix y = -33/8
focus (-5, -31/8)
Step-by-step explanation:
First identify the vertex, which is the minimum
Vertex = (-5,-4)
The vertex form is y = a( x-h)^2 + k
y = a( x- -5)^2 -4
y = a( x+5)^2 -4
We need to determine a
Substitute a point on the graph
(-3,4) is on the graph
4 = a( -3+5)^2 -4
4 = a( 2)^2 -4
4 = 4a -4
Add 4 to each side
8 = 4a
Divide by 4
8/4 = a
a=2
y = 2( x+5)^2 -4
To find the focus and directrix, write in standard form
4p(y-k)=(x-h)^2
y+4 = 2(x+5)^2
1/2 (y+4) = (x+5)^2
4p = 1/2
p = 1/8
The focal length is 1/8
Subtract this from the y coordinate to get the directrix
y = -4 -1/8
y = -32/8 - 1/8 = -33/8
Add this to the y coordinate to get the coordinate for the focus the x coordinate the same
(-5, -4+1/8)
(-5, -32/4+1/8)
(-5, -31/8)
Answer:
half the diagonal is given as 7 yards, the full diagonal would be 7 x 2 = 14 yards.
The formula for the length of a side of a square using just the diagonal is:
Side = √2(d/2)
Side = √2 (14/2)
Side = √2(7)
Side = 9.9 yards.
The area of a square is S^2
Area = 9.9^2
Area = 98.01
Area = 98.0 Yards^2
Answer:
x=1
Step-by-step explanation:
The radius of a circle is half of the diameter.
Because we know this, we can multiply the radius by 2 to equal the diameter:
4*2=3x+5
Then we solve for x:
8=3x+5
3=3x
x=1
A) 288 m2
Explanation:
Ok so surface area is just adding up all the area of each faces. Just look at what I do below:
Area of the rectangular base:
10 • 6= 60
Area of the front triangle facing us:
1/2 • 12 • 10= 60
Multiply 60 by 2 cause there is still another similar triangle at the back- 60 • 2= 120
Area of the triangle facing right:
1/2 • 8 • 6= 24
Multiply 25 by 2 case there is still another similar triangle facing on other side(left)
24 • 2= 48
Add them all up together
60 + 120 + 48= 228
MARK ME BRAINLIEST TYSM
have a nice day/night! :DD
Answer: $38.16
Step-by-step explanation:
0.89 * 3 = 2.67
2.67 + 11.99 + 17.25 + 6.25 = $38.16