The sum of two numbers is x . If one of the numbers is 12, what is the other?

Question 11

The directrix is a horizontal line, which means the parabola opens either upward or downward. In this case, it opens downward. This is because all answer choices have a negative leading coefficient. Also, it's because the focus is below the directrix.

For vertically opening parabolas, we use this form

4p(y-k) = (x-h)^2

where (h,k) is the vertex and p is the focal distance, aka the distance from the vertex the focus. To find (h,k), we start at the focus (0,-4) and move directly up until we reach the directrix y = 4. We'll arrive at (0,4). The midpoint of (0,-4) and (0,4) is (0,0) which is the vertex's location. So (h,k) = (0,0).

Note that in moving from (0,-4) to (0,4) is a span of 4 units. So this is the value of p.

Plug h = 0, k = 0, p = 4 into the equation mentioned and solve for y

4p(y-k) = (x-h)^2

4*4(y-0) = (x-0)^2

16y = x^2

y = (1/16)x^2

The only adjustment we need to make is to change the 1/16 to -1/16 so that the parabola opens downward.

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Question 3

The given equation is in the form y = ax^2+bx+c

In this case,

Let's compute the x coordinate of the vertex h

h = -b/(2a)

h = -4/(2*2)

h = -1

This h value is plugged into the original function to find k

f(x) = 2x^2+4x+3

f(-1) = 2(-1)^2+4(-1)+3

f(-1) = 1

We find that h = -1 and k = 1 pair up together. In short, (h,k) = (-1,1) is the vertex.

Answer:

hi

Step-by-step explanation:

Joshua needs to join the text in two cells together. which of the following would perform this function?

a. ="good" "morning"

b. ="good"&"morning"

c. =good "&" morning

d. ="good"&&"morning"

Answer:

$56.10

Step-by-step explanation:

The first step is to multiply the values.

28.50 for large.

27.60 for small.

Add them together.

You get 56.10.

Answer/Step-by-step explanation:

Given:

$5.70= Large necklace

$4.60 = Small necklace

To Find:

How much will Kevin earn from selling 5 large necklaces and 6 small necklace?

Solution:

To Find how much Kevin will earn from selling 5 large necklaces/6 Small necklace...

Multiply 5.70 by 5 and 4.60 by 6.

5.70 x 5 = 28.5

4.60 x 6 = 27.6

Hence, Kevin will earn $28.5 from selling 5 large necklaces and 27.6 from selling 6 small necklaces.

To Find all Kevin earn add both together = 56.10

Therefore Kevin earn $56.10 altogether.

Answer:

why it in pink and ur supposed too x them then divide

Answer:

[tex]x = \frac{4y}{5}[/tex]

Step-by-step explanation:

[tex]5x = 4y\\\rule{150}{0.5}\\\frac{5x=4y}{5}\\\\\boxed{x = \frac{4y}{5}}[/tex]

Hope this helps.

Answer:

ANS is g=5

step 1: 3g=19-4

step2: or,3g=15

step 3: or,g=15%3

step 4: or,g=5

Hope it helps.

Can you give me BRAINLIEST ANSWER

THANK YOU

Answer:

first one, u can't ride a decimal of a ride

Step-by-step explanation:

y = 7.50 + 2.50x

Answer:

The answer is 11 your welcome

Answer:

11

Step-by-step explanation:

Answer: 28,000,000

Step-by-step explanation:

This is a long one.

Start with (1) 2.66 times 10 to the 13th = 26,600,000,000,000 {2.66E13}

(2) 9.5 times 10 to the 5th = 950,000

(3)  2.66E13 divided by 950,000 = 28,000,000

If this dosnt make any sense dont hesitate to say so.

Answer:

[tex]w^{5}[/tex], w to the power of 5

Step-by-step explanation:

[tex]\frac{w^3}{w^-2}[/tex]

When dividing indices with the same base number, you can subtract the powers: 3 - (-2) = 5. Therefore the answer is [tex]w^{5}[/tex]

Hope this helps!

Answer: A, D, E

Step-by-step explanation:

Answer:

[tex]\mathsf{\frac{3}{2}}[/tex]

Step-by-step explanation:

In order to get a product of 1, you must multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] with another fraction that will result in the same value for the numerator and the denominator, which is its reciprocal.  

In other words, [tex]\mathsf{\frac{2}{3} \:\times\frac{3}{2}\:=\:\frac{6}{6}\:=\:1}[/tex].

Therefore, you could multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] by  [tex]\mathsf{\frac{3}{2}}[/tex] to make a product of 1.    

Answer:

B.

Step-by-step explanation:

Answer:

Just Multiply L×B And you'll get it

And if you want me to solve then give a image!

Hope its helps!

Answer:

329.87cm2

Step-by-step explanation:

Actually include the question next time.

Full Bottom Is semi circle.. find the area of the semicircle that's A1...

Then find the area of the smaller circle marked in red.. that's A2...

Then A1 - A2 will give you bottom area...

Now move to top one... Top one is a semi circle.. find its area A3...

So add both A3 with A1-A2...

Total will give the area of the shape

The area of the cross-section of the container will be 329.87 cm²

To determine the area of the cross-section of the open container, we need to find the area of the semicircle and add them up.

Area of the container:

Area = (2π r²) + (2πrh)

We are Given, the diameter are 17.5 cm and 6.5 cm respectively.

Diameter of the complete circle will be;

(17.5 + 6.5) =24.0

Area of complete circle is π x( 12)²

452.16 cm²

Therefore, the area of the circle A is (π x( 17.5/2)²

= 240.40 cm² (approx).

Therefore, the area of the circle B is (π x( 6.5/2)²

= 33.166

Total area of circle = 452.16 cm² -  33.166

Area = (452.16 cm² -  33.166 cm² ) + (2x 3.14 x 12 x 35)

Area = 329.87 cm²

Learn more about the area;

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Answer:

C this is the answer

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

Area = Width X Length

9x+6 / 3 = 3x + 2

Answer:

its f

Step-by-step explanation:

Answer:

H. [tex]x\leq -5[/tex]

Step-by-step explanation:

hope this helps!

Answer:

D ($28)

Step-by-step explanation:

-12 + -9 + -7 = -28

Answer:

8 months

Step-by-step explanation:

12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8

Answer:

5. x=21.9 units

6. x=14 units

7. x=31.7 units

Step-by-step explanation:

5. Assuming that the line through the middle of the triangle in 5, we can split the 18 units side into 9 and 9. Using pythagorean theorem (a^2+b^2+c^2), we can find that x is equal to [tex]\sqrt{81+400}[/tex] making x [tex]\sqrt{481}[/tex]. Rounding to the nearest tenth, we get x is about 21.9 units

6. By doing pyth. th. on one of the triangles, we get sqrt(361-289) which is sqrt(72), which is about 8.5 units. Subtracting 8.5*2 from 31, we get 14 for x

7. by doing pyth th on the smaller triangle, we get sqrt 228 and now we can do pyth th again with 28 (44-16) and sqrt228, which turns out to be sqrt (784+228) which is sqrt (1002), which when rounded the nearest tenth is 31.7

Good Luck!

Answer:

Step-by-step explanation:

5.

So 18 is cut in half and forms 2 simmetrical right-triangles, yes? Yes.

So, if 20 is one of the collared, 9 will be the other collared and x will be the hypotenusa right? right.

x² = 20² + 9²

x² = 400 + 81

x² = 481

x = [tex]\sqrt{481}[/tex]

x =~ 21.93

x = 21.9

6.

Here we can se a square and 2 simmetrical triangles and if the hypo of one of them is 19 the other will also be etc. So for the small triangles:

y² = 19² - 17²

y² = 361 - 289

y² = 72

y = [tex]\sqrt{72}[/tex]

y =~ 8.48

x = 31 - (2 * 8.48)

x = 31 - 16,96

x = ~14,04

x = 14.0

Step-by-step explanation:

the general point-slope form is

y - y1 = m(x - x1)

m is the slope.

x1 and y1 are the point coordinates.

so,

y - -1 = 4(x - 1)

and simplified

y + 1 = 4(x - 1)

Step-by-step explanation:

Let original price is C and mark up price is M.

The rate would be the percent change:

The height of the missile above the ground is 72 meters at 0.8 sec and 2 sec.

An equation is an expression that is used to show the relationship between two or more numbers and variables.

Let h(t) represent the height of the missile above the ground at time t. Given that:

h(t) = -16t³ + 100t

When the height is 72 m:

72 = -16t³ + 100t

16t³ - 100t + 72 = 0

t = 2 seconds and t = 0.8 seconds

The height of the missile above the ground is 72 meters at 0.8 sec and 2 sec.

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Answer:

The formula for calculating the area of a triangle

is 1/2 × b × h

Where, b = base

h = height

Hope it helps:)

Answer:

No Solution

Step-by-step explanation:

One of the rules of a square root is not to have negative numbers inside, if you do not want imaginary numbers. Therefore this question has no solution. Hope this helps :)

Answer:

[tex]f(-3)=-18[/tex]

Step-by-step explanation:

Since

[tex]f(x)=5x-3[/tex], we can plug in our values

[tex]f(-3)=-15-3[/tex]

Combine like terms

[tex]f(-3)=-18[/tex]

Answer:

48°

Step-by-step explanation:

1) The sum of the interior of any triangle is 180°. a + b + c = 180°. We need to find the value of x first before finding the angle F.

2) Substitute the values into a + b + c = 180, where [tex]a=6x-4[/tex], [tex]b =5x-7[/tex], [tex]c=8x-18[/tex].

Hence,

[tex]6x-4+5x-7+8x-18=180\\19x-29=180\\19x=180+29\\19x=209\\x=\frac{209}{19} \\x=11[/tex]

3) Find the angle of F by substituting 11 into x.

[tex]=5(11)-7\\=55-7\\=48[/tex]

Therefore, angle F has a measure of 48°.

Answer:

$1,353 a year $16,256 total paid 12 years