1. Find the equation of the parabola satisfying the given conditions.

Focus: (3,6); Directrix: x=−1

A. (x−1)2=8(y−6)

B. (y−6)2=8(x−1)

C. (x−1)2=−8(y−6)

D. (y−6)2=−8(x−1)


2. Find the equation of the parabola satisfying the given conditions.

Focus: (−6,3); Directrix: y=1

A. (y−2)2=4(x+6)

B. (x+6)2=4(y−2)

C. (x+6)2=−4(y−2)

D. (y−2)2=−4(x+6)


3. Find the equation of an ellipse that has foci at (−1,0) and (4,0), where the sum of the distances between each point on the ellipse and the two foci is 9.

A. (x+1)2+y2−−−−−−−−−−−√+(x−4)2+y2−−−−−−−−−−−√=9

B. (x−1)2+y2−−−−−−−−−−−√+(x+4)2+y2−−−−−−−−−−−√=9

C. (x+1)2+y2−−−−−−−−−−−√+(x−4)2+y2−−−−−−−−−−−√=81

D. (x−1)2+y2−−−−−−−−−−−√+(x+4)2+y2−−−−−−−−−−−√=81


4. Find the equation of a hyperbola that has foci at (−1,0) and (4,0), where the difference of the distances between each point on the ellipse and the two foci is 5.

A. (x+1)2+y2−−−−−−−−−−−√−(x−4)2+y2−−−−−−−−−−−√=25

B. (x−1)2+y2−−−−−−−−−−−√−(x+4)2+y2−−−−−−−−−−−√=5

C. (x−1)2+y2−−−−−−−−−−−√−(x+4)2+y2−−−−−−−−−−−√=25

D. (x+1)2+y2−−−−−−−−−−−√−(x−4)2+y2−−−−−−−−−−−√=5

Answer:

The given figure is a cuboid

it's volume = length × breadth × height

so the answer should be option (c) 8 × 2 ×3

Answer: $93649

Step-by-step explanation:

Since this is an exponential growth problem, then we can use the equation 50,000(1.04)^16. Solve it and you get 93649.06228. Round to the nearest dollar, which is probably whole number, so it is 93649.

Answer:

The value of g is  144 when h is 2 and j is 3 .

Step-by-step explanation:

If g varies jointly with h and j.

g = khj

Where k is the constant of proportionality.

Put value in the above

k = 4 × 6

k = 24

As when  h = 2 , j = 3 and k = 24 .

Put in the above

g = 2 × 3 × 24

g = 144

Therefore the value of g is 144 when h is 2 and j is 3 .

Answer:

c ) 2480 cm²

Step-by-step explanation:

Surface Area of a Triangular prism =

S = bh + lb + 2ls

b = 30cm

h = 8cm

s = 17 cm

l = 35cm

The surface area = 30cm × 8 cm + 35 × 30 cm + 2(35 × 17)

= 240 cm² + 1050 cm² + 1190 cm²

= 2480 cm²

Option c is the correct option

Answer:

V = 17,371.8

Step-by-step explanation:

V = π r^2 h

V = π (12)^2 (38.4)

V = 17,371.75073729

V = 17,371.8

You have to calculate the area of the base of the cylinder (the circle) by using the formula π r^2, r = the radius of the circle. You are squaring the r because r^2 = diameter. The formula to get the area of a circle is π r ^2. To get the volume you need to multiply the area of the circle by the height of the cylinder. All together the total formula to get the volume of a cylinder is π r^2 h

Answer:

A.

C.

E.

Step-by-step explanation:

A

-1/9×6=

-1/9×6/1= -6/9 = -2/3

B

-15 ÷ 10

-15/1 ÷ 10/1

-15/1 × 1/10 = -15/10 = -3/2

C

12 ÷ -18 =

12/1 ÷ -18/1 =

12/1 × -1/18 = -12/18 = -2/3

D

-3/4 ÷ 1/2 =

-3/4 × 2/1 = -6/4 = -3/2

E

-8/9 × 3/4 = -24/36 = -2/3

Answer:

The closest measurement is 69 meters.

Step-by-step explanation:

We already know that 22 meters is the diameter and to find the circumference you need to multiply the diameter with π. We don't know π, so we are going with 3.14. When you multiply 22 and 3.14 together, you get 69.08 meters. You round the answer to the nearest meter, so it's 69 meters. So, the closest measurement is 69 meters.

Answer:

sorry men this is not the answer

Step-by-step explanation

Answer:

a ≤ 9

Step-by-step explanation:

Closed circle means ≤ or ≥

Shading to the left means left direction < or ≤

The inequality sign that has both is: ≤

a ≤ 9

Answer:

The answer is C

Step-by-step explanation:

I took the test and I got it right

Answer:

equal

Step-by-step explanation:

Most quadratic equations have equal roots.

Answer:

A.

B.

E.

Step-by-step explanation:

hope this helps ❤️

Answer:

Step-by-step explanation:

If you have $2250 as against an inflation rate of 2% every year, this then means that after the first year, the value of your money becomes

2250 * 2% =

2250 * 0.02 = 45

2250 - 45 = $2205

At the end second year

$2205 * 2% =

$2205 * 0.02 = 44.1

$2205 - 44.1 = 2160.9

At end of the third year

$2160.9 - 2% =

$2160.9 * 0.02 = 43.218

$2117.682

And so on, and so forth

Answer:

40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

the lines on the very end are your subtrct the the lowest one from the highest one

Step-by-step explanation:

the answer is x=-4 ,y=-5

Answer:

x intercept = -3.15

y intercept = 6.3

Step-by-step explanation:

Given the expression

-6x+3y=18.9

x intercept occurs at y = 0

-6x+3(0)=18.9

-6x = 18.9

x = -18.9/6

x = -3.15

Hence the x intercept is -3.15

y intercept occurs at x= 0

-6(0)+3y=18.9

3y = 18.9

y = 18.9/3

y = 6.3

Hence the y intercept is 6.3

Answer:

4 yards saved

Step-by-step explanation:

two adjacent sides: 6 + 8 = 14

diagonal: √(6² + 8²) = √100 = 10

14 - 10 = 4

Find the sum:

1.1.1 2+6+(-7) + 10 = 11

​

11=11

Answer:

a = 4

b = -3

Step-by-step explanation:

Let a and b be the two numbers.

According to question,

4a - b = 19........(i)

And,

a + 4b = -8........(ii)

From (i),

4a - b = 19

or, b = 4a - 19

Replacing b in (ii),

a + 4(4a - 19) = -8

a + 16a - 76 = -8

17a = -8 + 76

17a = 68

a = 68/17

a = 4

And,

b = 4a - 19

= 4 x 4 - 19

= 16 - 19

= -3

Answer: B.)

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

ayuda te solo no eres tonto o si?

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{12 \times 8}{2} + {( \frac{8}{2}) }^{2} \pi = \\ = 48 + 16\pi[/tex]

98.24

Answer:

The next term will be -5.

Step-by-step explanation:

This is actually an AP with a = 11 and common difference d = -4.

Therefore next term will be -1 - 4 = -5

Answer:

Step-by-step explanation:

The numbers in this sequence come by subtracting 4 so

11, 7, 3, - 1, - 5, - 9, - 13

Answer:

x = 17

Step-by-step explanation:

Area of a parallelogram:

A = bh

Given:

A = 153

b = 9

Work:

A = bh

h = A/b

h = 153/9

h = 17

Answer:

yuh, did you bestie

Step-by-step explanation:

≤))≥

_| \_

Answer:

-1 and I hope everyone reading this has a great day!

Answer:

3125

Step-by-step explanation:

first, find the unit rate.

2500/4=625

625= amount of oxygen needed to supply a family of one(or just one single person)

625*5=3125

***with these problems, always try to find the unit rate first which is the amount of something per one unit. it'll be helpful to solve the questions following it.

Answer:

D

Step-by-step explanation:

Answer:

answer is \/

Step-by-step explanation:

Answer:

volume = 720 in³

Step-by-step explanation:

volume = 1/3Bh = 1/3 x 72 x 30 = 720 in³