PLEASE HELP!

What is the equation of the directrix
for the following parabola:
(x - 1)^2 = 12(y + 2)
A. Y = -5
B. X = -5
C. y = -3
D. y = -12

Answer:

152 US quarts

Step-by-step explanation:

4 x 38 = 152

quarts = 4 of something

Answer:

152

Step-by-step explanation:

38 x 4 = 152

Answer:

If the percentage is 20%, the down payment is $177,100

If the percentage is 10%, the down payment is $88,550

Step-by-step explanation:

This is a terrible question, in my opinion, unless they gave more information at the top of the page. A down payment on a house can be anywhere from 3.5% to 20%

Let's go with the 20%

885,500 x 0.20 = 177,100

Answer:

1/3

Step-by-step explanation:

H3,H4,H5,H6

p=1/2×1/6+1/2×1/6+1/2×1/6+1/2×1/6

=4×1/2×1/6=1/3

Answer:

[tex] \frac{x + 13}{8} = \frac{21}{x - 9} \\ {x}^{2} + 4x - 117 = 168 \\ {x}^{2} + 4x - 285 = 0 \\ (x - 15)(x + 19) = 0 \\ x = 15 \\ x = - 19[/tex]

Answer:

33%

Step-by-step explanation:

Answer:

17%

Step-by-step explanation:

GOT IT RIGHT

Answer:

6/5 hours

Step-by-step explanation:

GIVEN :-

Lets say ,

TO FIND :-

PROCEDURE :-

In 2 hours , Pump A fills the whole tank.

⇒ In 1 hour , Pump A will fill 1/2 part of tank. (By using Unitary method)

In 3 hours , Pump B fills the whole tank.

⇒ In 1 hour , Pump B will fill 1/3 part of tank. (By using Unitary method)

In 1 hour , when both pumps will be used together , they will fill =

(Part of tank filled by A in 1hr) + (Part of tank filled by B in 1hr)

⇒  [tex]\frac{1}{2} + \frac{1}{3}[/tex]

[tex]=> \frac{5}{6}[/tex] part of tank

5/6 part of tank will be filled by both the pumps in = 1 hour.

Using unitary method, multiplying both the sides with 6/5 -

⇒ 5/6 × 6/5 part of tank will be filled by both the pumps in = 1 × 6/5 hours

⇒ Total tank (or 1 whole tank) will be filled by both the pumps in = 6/5 hours

∴ Both the pumps will take 6/5 hour to fill the tank , when used together.

Answer:

-10 3/4 hope this help

Step-by-step explanation:

Answer:

the first opinion is correct  

Step-by-step explanation:

Answer:

B. (x-5)²+(y+1)² = 49

Step-by-step explanation:

An equation of a circle with center (h, k) and radius r is

[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]

We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7

Substitute these values in

[tex] \large{ {(x - 5)}^{2} + {(y - ( - 1))}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = 49 }[/tex]

So the answer is B choice.

Answer:

∠ABC= 35°

Step-by-step explanation:

im not sure if u need explanation but comment if u do

70ft is the answer I think

Answer:

9

Step-by-step explanation:

The formula for (a + b)^2 expands out to: a^2 + 2ab + b^2. In the case of this problem, a equals x and b equals 3. We can substitute to get:

(a + b)^2 = a^2 + 2ab + b^2

(x + 3)^2 = x^2 + 2(x)(3) + (3)^2

(x + 3)^2 = x^2 + 6x + 9

So, the missing term is 9.

Another way to do this is to multiply (x + 3)(x + 3) since it's the same thing:

(x + 3)(x + 3)

x^2 + 3x + 3x +9

x^2 + 6x + 9

By solving this way, you get the same answer.

Answer:

It would be 9.

Step-by-step explanation:

To do this, lets expand the equation (x+3)^2 by turning it into:

(x+3)(x+3)

Now, lets try something called the FOIL method. This is where all of the terms of the equation are multiplied in the order:

1) First

2) Outer

3) Inner

4) Last

So in (x+3)(x+3), each of the first parts of each parentheses box are x's, and x times itself equals x^2 so:

x^2 + ? + ? so far.

Next, with the Outer & Inner parts, they would be x * 3 and 3 * x. With this, you would get 3x and 3x. These can be added to get 6x, the middle part of the equation.

x^2 + 6x + ? so far.

Lastly, for the answer. Time to do the last part of each parentheses box, you would get 3 * 3, which gives you 9.

x^2 + 6x + 9.

Answer:

A(b) = 145,34 m²

Step-by-step explanation:

Area of the square of side l = 26 m    A(s) = l²      A(s) = (26)²

A(s) = 676 m²

Areaof the circle of radius r = 13  A(c) = π*(r)²  A(c) = π*(13)²

A(c) = 169*π  m²

Then the area outside the circle and inside the square  A(b), is the difference between the area of the square minus the area of the circle, that is:

A(b) = A(s)  -  A(c)  =  676  - 169*π    m²

A(b) = 676  -  530,66  m²

A(b) = 145,34 m²

Answer:

10

3

Step-by-step explanation:

Answer:

It would be 11 since in the equation 11(x+3), you would need to multiply 11 * x along with 11 * 3 to get your answer.

Full Answer: 11x+11*3

Answer:

D

Step-by-step explanation:

it's self explanatory

12 is being decreased by 2x (x is a variable for a number)

Answer:

29

Step-by-step explanation:

5-(4*(6-12))=29

Answer:

La respuesta es 29, espero que esto ayude.

Answer: 8 turns

Step-by-step explanation: 5 children at a time, so 5*8=40, which is the closest to 38

Answer:

452.2

Step-by-step explanation:

r x r x h x 3.14 (pi) = 6x6x3.14x4=452.16, rounded to tenth is 452.2

Answer:

452.4in³

Step-by-step explanation:

diameter= 12in.

radius= 12÷2

= 6in.

volume= πr²h

=π×6²×4

= π×36×4

= 113.097336×4

= 452.389

≈ 452.4in³

Answer:

4

Step-by-step explanation:

(1,2) (0,-2)

y2 - y1 / x2 - x1

-2 - 2 / 0 - 1

-4 / -1

4

Answer:

m∠1 = 70

Step-by-step explanation:

A line is 180 degrees

The angles of a triangle total to 180 degrees

180 - 101 = 79

79 + 31 = 110

180 - 110 = 70

Answer:1/2

Step-by-step explanation:it’s a 50/50 chance

Answer:

($42 × 7)  - ($8.25 × 8)

Step-by-step explanation:

Given that

Mike saves $42 a week for 7 weeks

And, his 8 day vacation, he plans to spend $8.25 each day

We need to find out the expression of how much he would have left

So,

Since the amount $42 is for a week

So for 7 weeks, it would be

= $42 × 7

And, he spends $8.25 each day,

And, for 8 days, it would be

= $8.25 × 8

So, the expression is

= ($42 × 7)  - ($8.25 × 8)

Answer: 38/9

Step-by-step explanation: Because the fractions presented already have common denominators, the only thing you need to do in order to solve the problem is add the numerators. 36+2= 38, and you keep your denominator the same when adding fractions (when they are the same).

Answer:

152

Step-by-step explanation:

blue -- 8 x 2 = 16 x 2 = 32

green -- 8 x 6 = 48 x 2 = 96

red -- 6 x 2 = 12 x 2 = 24

96 + 24 + 32 = 152

Answer:

X is about 58.41 degrees

Step-by-step explanation:

For this problem, lets use sine, since we have the opposite angle from x and we have the hypotenuse.

Therefore, with the equation for sine, we would get

sin(x) = 23/27

sin(x) = 0.851

Now, since we're solving for an angle, inverse it by adding a -1 to move over the sin.

x = sin-1 23/27

Last, use a calculator to get the answer.

X is about 58.41 degrees

Answer:

Hey, read below!! :)

Step-by-step explanation:

Both sides are the same length. X = 70