Answer:
B
Step-by-step explanation:
Given focus as (h,k) and directrix as y = mx + b, the equation of a parabola is given as:
Hence, from the given focus & directrix, we have:
h = -1
k = -1
m = 0
b = 1
<em>We can plug them into the formula and arrange to get:</em>
<em>
</em>
<em />
<em>B is the correct answer.</em>
Answer:
-6.64
Step-by-step explanation:
since you need to find the value of x , but all values to one side and have x on the other .. meaning :
2 1/3 -12.3 = 1.5x
now that you have this find the decimal value of 2 1/3
which is 2*3 +1 = 7/3
in decimal form is 2.33333...
now subtract (2.3333.. - 12.3 ) / 1.5
x = -6.6444
to 3 sf = -6.64
Answer:
94 square ft
Explanation:
as given in the question, the formula for surface area is 2lw + 2lh + 2wh, which means (2 × length × width) + (2 × length × height) + (2 × width × height). since these values are given, we just have to place them into the equation as such:
(2 × 5 × 4) + (2 × 5 × 3) + (2 × 4 × 3)
= 40 + 30 + 24
= <u>94</u>
so, the surface area is 94 square ft.
Answer:
0.8 cm
Step-by-step explanation:
The formula for MAD is attached in the picture.
x_i are the values (data)
x bar is the mean
n is the number of numbers (data)
For figuring out MAD, basically, <em>we subtract the mean from each of the values respectively and take the absolute value and SUM for all of the numbers in the data set. Then we divide by n, the number of numbers.</em>
<em />
Let's do this:
MAD = 
MAD is 0.8
Answer:
x= - 35 over 89
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2
7
x−23+5x=18(x−1)
2
7
x+−23+5x=(18)(x)+(18)(−1)(Distribute)
2
7
x+−23+5x=18x+−18
(
2
7
x+5x)+(−23)=18x−18(Combine Like Terms)
37
7
x+−23=18x−1837
7
x−23=18x−18
Step 2: Subtract 18x from both sides.
37
7
x−23−18x=18x−18−18x
−89
7
x−23=−18
Step 3: Add 23 to both sides.
−89
7
x−23+23=−18+23
−89
7
x=5
Step 4: Multiply both sides by 7/(-89).
(
7
−89
)*(
−89
7
x)=(
7
−89
)*(5)
x=
−35
89
Step-by-step explanation:
