Find the surface area, Please Help!!!

Answer:

D. [tex]x^{2} = -16\cdot y[/tex]

Step-by-step explanation:

The vertex form of the equation of the parabola centered in the origin, with axis of symmetry in the x-axis and directrix in the first and second quadrants is described by the following formula:

[tex]4\cdot p \cdot y = x^{2}[/tex], [tex]p < 0[/tex] (1)

Where:

[tex]y[/tex] - Dependent variable.

[tex]x[/tex] - Independent variable.

[tex]p[/tex] - Focus distance.

If we know that vertex is located at (0, 0) and the directrix pass through (4, 0), then the focus distance (distance of the vertex with respect to that point) is -4, and the equation of the parabola is [tex]x^{2} = -16\cdot y[/tex].

Hence, the right choice is D.

Answer:

you graph it on the LINE and find the slope

Answer:

Step-by-step explanation:

NOTE : I am assuming that T means π.

The formula for circumference is 2πr, so 2*r = 2*18 = 36.

Since we are leaving it in terms of π, the answer is 36π

Answer:

576 miles

Step-by-step explanation:

Answer:

else will drive 567 miles in 8h

Step-by-step explanation:

take 864÷ 12 to get how many hours she drives in one hour

you get 72

then you take 864÷2 to get how many miles she'll drive in 6h

you get 432

then you take 432 and add 144 or 72 + 72

and you get 567 miles in 8h

hope this helped!!

Answer:

Below.

Step-by-step explanation:

One standard form of the equation of a straight line is

y = mx + c where m = the slope and c = the y-intercept.

Comparing this with y = 3x - 6 we see that:

The slope = 3 and the y-intercept is -6.

The error was in the y-intercept.

#2.

The error is in stating the intercepts

x - intercept is (8, 0) and y-intercept = (0, 2), (NOT (8, 2)).

#3.

The error is in stating the intercepts

x - intercept is (5, 0 and y-intercept = (0, 2).

Answer:

D 150 sq ft

Step-by-step explanation:

10x12 = 120

1/2(10)(6) = 30

120+30 = 150

Answer:

x=7 y=-10 this is ur answer

Answer:

y=6

Step-by-step explanation:

The horizontal asymptote for y = 1/x is the x-axis, y = 0.

Shifting the graph up 6 makes the asymptote move up, too, to y = 6.

See the attached image:

y = 1/x is purple

y = 1/(x + 2) + 6 is black

Answer:

x=1+√3

Step-by-step explanation:

Let's solve your equation step-by-step.

6x^2+6=12x+18

Step 1: Subtract 12x+18 from both sides.

6x^2+6−(12x+18)=12x+18−(12x+18)

6x^2−12x−12=0

For this equation: a=6, b=-12, c=-12

6x^2+−12x+−12=0

Step 2: Use quadratic formula with a=6, b=-12, c=-12.

x=−b±√b2−4ac/2a

x=−(−12)±√(−12)2−4(6)(−12)/2(6)

x=12±√432/12

x=1+√3

Answer:

x=2√5

Step-by-step explanation:

1st method:

sin(30)=opposite/hypotenuse=√5/x

sin(30)x=√5

x=√5/sin(30)

x=2√5

2nd method:

cos(60)=adjacent/hypotenuse=√5/x

cos(60)x=√5

x=√5/cos(60)

x=2√5

3rd method:

This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5

Answer:

a-b³=a³-3a²b+3ab²-b³

hope it is helpful to you

Answer:

yellow

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Exterior sides =  180 - 140 = 40

number of sides = 360 / 40 = 9 sides

Answer:

The X Coordinate equals 0.

The Y Coordinate equals -2

And the number of points of intersection is 1.

Hope this helps!

Step-by-step explanation:

Answer:

The X Coordinate equals 0.

The Y Coordinate equals -2

And the number of points of intersection is 1.

Hope this helps!

Step-by-step explanation:

Answer:

Uhm so I did 4×4=16 than 4×32=128 than 4×42=168

You add 16+128=144 than you divide 144÷168 which gives you a decimaled number which I got 0.8 if you round up its 1.0

Answer:

i think a is correct

Step-by-step explanation:

Answer:

the answer should be 1920

hope this helped and have a good weekend :D

Answer:

f=gx-4/x-2

f=x^3+2/x

Answer:

the answer should be 98

Step-by-step explanation:

try it

Answer:

467

Step-by-step explanation:

Determine the percentage of those sampled whose favourite season is fall

(18/70) x 100 = 25.7%

the sample is representative of the population of students. So, 25.7% of the students would like fall

number of students at Franklin High School whose favourite season is fall = 25.7% x 1816 = 466.7 students

rounding off to the nearest whole number gives 467

Answer:

467

Step-by-step explanation:

Answer:

If its a linear then the equation is 4x + 8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Use the distance formula in 3 dimensions

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2 }[/tex]

with (x₁, y₁, z₁ ) = (3, 4, 10) and (x₂, y₂, z₂ ) = (8, 4, - 2)

d = [tex]\sqrt{(8-3)^2+(4-4)^2+(-2-10)^2}[/tex]

   = [tex]\sqrt{5^2+0^2+(-12)^2}[/tex]

    = [tex]\sqrt{25+144}[/tex]

    = [tex]\sqrt{169}[/tex]

     = 13 → B

Answer:

The 6ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 13

Common Difference = (d) = 4

Now, For 6ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₆ = 13 + (6 - 1) × 4

a₆ = 13 + 5 × 4

a₆ = 13 + 20

a₆ = 33

Thus, The 6ᵗʰ term of this sequence is 33

-TheUnknownScientist

Answer:

Given in quesion:Point B (3,1) and point A is -1. Distance between A and B is 5 units.

Using distance formula for AB we obtain,

AB^2=(x2-x1)^2 + (y2-y1)^2

5^2=(3+1)^2 + (1-y)^2

25-16=(1-y)^2

9=(1-y)^2

1-y=3

y= -2

Therefore the possible co-ordinates of A are(-1,-2).This is your required answer.

Answer:

Step-by-step explanation:

Its 99

I just took it

Answer: the third one

Step-by-step explanation:

Answer:

132 m

Step-by-step explanation:

Refer to attachment for figure.

In smaller triangle with angle theta , we have ,

⇒ tanθ = p/b

⇒ tanθ = h/121m

⇒ tanθ = h/121 m

In triangle with angle 90-∅

⇒ tan(90-θ) = p/b

⇒ cot θ = h/144 m

Multiplying these two ,

=> tanθ . cotθ = h/121 m × h/144m

=> 1 = h²/ (121 m × 144m )

=> h² = 121m × 144m

=> h= √ ( 121m × 144m)

=> h = 11m × 12m

=> h = 132 m