how can i solve the following
2(x + 3) = x - 4

Answer:

The equation of the parabola is y = x²/4

Step-by-step explanation:

The given focus of the parabola = (0, 1)

The directrix of the parabola is y = -1

A form of the equation of a parabola is presented as follows;

(x - h)² = 4·p·(y - k)

We note that the equation of the directrix is y = k - p

The focus = (h, k + p)

Therefore, by comparison, we have;

k + p = 1...(1)

k - p = -1...(2)

h = 0...(3)

Adding equation (1) to equation (2) gives;

On the left hand side of the addition, we have;

k + p + (k - p) = k + k + p - p = 2·k

On the right hand side of the addition, we have;

1 + -1 = 0

Equating both sides, gives;

2·k = 0

∴ k = 0/2 = 0

From equation (1)

k + p = 0 + 1 = 1

∴ p = 1

Plugging in the values of the variables, 'h', 'k', and 'p' into the equation of the parabola, (x - h)² = 4·p·(y - k), gives;

(x - 0)² = 4 × 1 × (y - 0)

∴ x² = 4·y

The general form of the equation of the parabola, y = a·x² + b·x + c, is therefore;

y = x²/4.

Answer:

C:  Square centimeters

Step-by-step explanation:

We are measuring length here, not volume, so recognize that this fact eliminates Answer B.  The area of a rectangle, such as this picture is, is A = Length * Width, measured in (cm)(cm), or C:  Square centimeters.

Answer:

d.

Step-by-step explanation:

1) just to substitute the value of 'x' into the given equation and check equality:

(9;-2): -2≠ -45-1;

(5;24): 24≠-25-1;

(-1;6): 6≠5-1;

(-4;19): 19=20-1.

Answer:

The answer e i think

Step-by-step explanation:

Answer:

a. 81 square inches

b. 108 inches

Step-by-step explanation:

The area of all 5 squares combined is 405 square inches. This is 5 times the area of 1 square. 405/5 = 81. The area of 1 square is 81 square inches.

Since this is a square, the sides are equal. Thankfully the area of 1 square is a perfect square so the length of one side of the square is a full number, which is 9. All of the squares are congruent as shown in the diagram so we simply add every length together (there are 12 sides, each side is 9 inches).

12*9 = 108 and that is the perimeter.

Answer:

area

Step-by-step explanation:

a = 405/5 = 81

a =81 square inches

perimeter

p = √81

= 9

=4×9×5

=180 inches

Answer:

I have the same doubt so pls answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the data :

Using 6 classes :

Class interval ____ Frequency

21 - 30 _________ 6

31 - 40 _________ 10

41 - 50 _________ 5

51 - 60 _________ 0

61 - 70 _________ 1

71 - 80 _________ 2

Answer: 7.2$

hope it helps :)

step-by-step explanation:

Cost of each box = 3$

Cost of 3 boxes without 20% coupon = 9$

With 20% off Coupon = 9 by 100 multiplied by 20

                                     (the zero's cut with each other leaving)

                                     = 9 by 10 multiplied by 2

                                     (9 multiplied by 2 = 18)

                                     = 18 by 10

                                     (18 divided by 10 = 1.8)

                                     = the 20% of 9$ is equal to 1.8

                                        when subtracted with the total cost leaves 7.2$

Answer:

a coin flip

Step-by-step explanation:

The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero.

Step-by-step explanation:

Let's solve for a.

a+b+c=4

Step 1: Add -b to both sides.

a+b+c+−b=4+−b

a+c=−b+4

Step 2: Add -c to both sides.

a+c+−c=−b+4+−c

a=−b−c+4

Answer:

a=−b−c+4

(hope this helped plz mark brilliant)

Answer:

product means multiplication (×) so what ever is the depth of the pool is multiplied by 4

Step-by-step explanation:

what is the depth of the pool?

The two chords are the same length given by the 4 short lines through each section.

Because the chords are the same length they need to be equal distance from the center of the circle

X = 9

=========================================================

Explanation:

The order of the lettering is important because the order tells us how the letters pair up.

For DCB and CDJ, we have D and C as the first letters. So that means angle D and angle C are congruent between the triangles. I've marked this in red. The other angles are handled the same way.

The congruences for the segments are then built up from the angles.

Find x so that m || n. Show your work.

Since m || n, 4x – 23 = 2x + 17 by the Converse of alternate exterior angles theorem.

Solve for x.

[tex]\sf{4x-23=2x+17}[/tex]

[tex]\sf{4x-2x-23=2x-2x+17}[/tex]

[tex]\sf{2x-23=17}[/tex]

[tex]\sf{2x-23+23=17+23}[/tex]

[tex]\sf{2x=40}[/tex]

[tex]\sf{\frac{2x}{2}={\frac{40}{2}}}[/tex]

[tex]\sf{x={\color{magenta}{20}}}[/tex]

#Hope it helps!

(ノ^_^)ノ

Answer:

There is either No Answer or

B See if the computer or your maker will take B, but the real answer is that there is no answer.

Step-by-step explanation:

Prime polynomials cannot be factored.

x^2 + 4 can't be factored.

x^2 - 4 can be factored and is not prime

x^2 - 4 = (x + 2)(x - 2)

A) is not prime

3x^2(x + 1) - 2(x + 1)       x + 1 is a common factor

(3x^2 - 2)(x + 1)

B) Not sure. I'll look at the rest. It has a common divisor (x - 1) which turns the result into 0. I don't think you've likely taken this yet, but the answer is        (x - 1)(3x^2 + x + 1), so although this one is not prime, it is not done the same way as the other three. It likely is the answer, but I sure would be tempted to report it to your instructor.

C) 3x^2(x + 1) - 2(x + 1)   x + 1 is a common factor. C is not the answer.

D D is done the same way that A and C are done.

4x^2(x + 1) - 3(x + 1) and x + 1 is a common factor.

So the answer might be B. It doesn't look like it factors the same way as the other three

Answer: D. 2x4+x3–x+2 is prime

Step-by-step explanation:

A prime polynomial is a polynomial that can't be factored. Hope I helped

Answer:

jk

Step-by-step explanation:

Answer:

f(x)= -25x+4

y-inter x=0

y= -25(0)+4

=4

x-inter y=0

0= -25x+4

-4= -25x

x=4/25

7.)

cbrt(1200)

10.63

8.)

sqrt(112)

10.58

Answer:

1.) because 10^3=1000 and 11^3 = around 1330  we know that the answer must fall between 10 and 11. Because they're pretty much equal distance I would estimate it to be around 10.5 (if you need an exact answer it's 2∛150)

2.) because 11^2=121 and 10^2= 100 we know that it must fall between 10 and 11. Because these are pretty much equal distance as well I would estimate it to be around 10.5 as well (if you need an exact answer it's 4√7)

Step-by-step explanation:

Answer:

21 cookies

Step-by-step explanation:

First we know that Chris was given a third of 84 cookies so we can start working on this problem by figuring out what a third of 84 is. We can do this by multiplying 84 by 1/3 or just dividing by 3, which gives us: 84/3 = 28

So now we know that Chris was given 28 cookies, we can figure out what 3/4 of that is to work out how many cookies he ate. 28 x (3/4) = 21 cookies.

Chris ate 21 cookies.

Hope this helped!

Answer:

21 cookies

Step-by-step explanation:

1/3 × 84 = 28

3/4 × 28 = 21

Answer:

d

Step-by-step explanation:

180-149= 31.

31+ 122= 153

180-153= 27

a= 27

Answer:

6

Step-by-step explanation:

a² + b² = c²

a² + 8² = 10²

a² + 64 = 100

Subtract 64 from both sides

a² = 36

Take the square root of both sides

a = 6

Answer:

x²+y²=hyptneus ²

Step-by-step explanation:

length is always positive

so answer is 6

Answer:

666.666666666667%

Step-by-step explanation:

Convert fraction (ratio) - 20 / 3 Answer: -666.666666666667%

Answer:

yes I can help you but ???

Answer:

x+80=70°(exterior alternate angles)

x=70-80

x=-10

Answer:

The answer is "Option b"

Step-by-step explanation:

Through this context, it is determined that the p-value is much less than 0.05, which is 0.021, so the rejection of the null hypothesis at 5%. There should be enough evidence to demonstrate that now the effect of the organization was substantial on how long it has taken to solve the issue. This result is statistically important.

The correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.

From the table, we have the following values

F = 4.467

df between group = 2

df within group = 27

To reference the result, we make use of:

F(df between group, df within group) =  F value

So, we have:

F(2, 27) = 4.47

The above result shows the F value approximated to two decimal points

Hence, the correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.

Read more about APA styles at:

https://brainly.com/question/858964

51

Step-by-step explanation:

uajdnensjdkalsnnamakksls

Answers:

Each pair of triangles are congruent. The congruence reasoning is shown below.

======================================

Further Explanation:

Abbreviations:

ASA = angle side angle

SSS = side side side

HA = hypotenuse angle

Answer:

a= 250

b= 50

250 + 50 = 300

Step-by-step explanation:

There's many solutions but this was the first one I could come up with.

Answer:

my opinion is seince a+b=300 then the sqaure of 300= 17.3?

Step-by-step explanation:

Answer and Step-by-step explanation:

1. 2 pairs (aka 4 sides) of Opposite Sides are equal

2. AB and DC are parallel, and AD and BC are parallel  

3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal

4. 4 right angles

5. AB and DC are equal, and AD and BC are equal

6. 4 Triangles

7. False

8. Diagonals of a rectangle.

#teamtrees #PAW (Plant And Water)

Answer:

a = 2

Step-by-step explanation:

Use Pythagorean Theorem:

[tex]a^2+b^2=c^2\\a^2+2.1^2=2.9^2\\a^2+4.41=8.41\\a^2=4\\\sqrt{a^2}=\sqrt{4}\\a=2[/tex]

Therefore, a is 2 meters.