2x2 + 3x - 5 = (2x + 5)(?)
please help whats the missing numbers

Answer:

Solution in photo

Step-by-step explanation:

Given:

Hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6).

To find:

The equation of hyperbola.

Solution:

We have, directrices at y = ±2 so this hyparabola is along the y-axis.

The standard form of hyperbola is

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]      ...(i)

where, (h,k) is center, foci are [tex](h,k\pm c)[/tex] and directrix are [tex]y=k\pm \dfrac{a^2}{c}[/tex].

On comparing foci, we get

[tex](h,k\pm c)=(0,\pm 6)[/tex]

[tex]h=0,k=0,c=6[/tex]

On comparing directrix we get

[tex]k\pm \dfrac{a^2}{c}=\pm 2[/tex]

[tex]\dfrac{a^2}{c}=2[/tex]

[tex]\dfrac{a^2}{6}=2[/tex]

[tex]a^2=12[/tex]

Now,

[tex]a^2+b^2=c^2[/tex]

[tex]12+b^2=(6)^2[/tex]

[tex]b^2=36-12[/tex]

[tex]b^2=24[/tex]

Putting [tex]h=0,k=0,a^2=12,b^2=24[/tex], we get

[tex]\dfrac{(y-0)^2}{12}-\dfrac{(x-0)^2}{24}=1[/tex]

[tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex]

Therefore, the equation of hyperbola is [tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex].

Answer:

the person above has the right answer. I took the test.

Step-by-step explanation:

The person above is correct.

Answer:

67 feet

Step-by-step explanation:

Step one:

given

The area of a rectangular warehouse measures 4,288 square feet

The width of the warehouse is 64 feet long.

Required:

the length of the warehouse

Step two:

The expression for the area of a rectangle is

A= L*W

so, for the situation

4,288= L*64

solve for L

divide both sides by 64

L= 4,288/64

L=67 feet

Answer: the answer is 13.6 units

Step-by-step explanation:

Answer:

C. 13.6 units

Step-by-step explanation:

i took the quiz on edge

Answer:

B. 36

Step-by-step explanation:

Answer:

y = -x - 4

General Formulas and Concepts:

Pre-Algebra

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

x + y = -4

Step 2: Rewrite

Find slope-intercept form

Answer:

Step-by-step explanation:

because we have a kite,

AB=AD

4x=x+15

4x-x=15

3x=15

x=5

Answer:

the value in the five years is  £2,621.44

Step-by-step explanation:

The computation of the value in the five years is given below:

= The value of the second car × (1 - losses percentage)^number of years

= £8,000 × (1 - 0.20)^5

= £8,000 × 0.80^5

= £8,000 ×  0.32768

=  £2,621.44

Hence, the value in the five years is  £2,621.44

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Step-by-step explanation:

Q1

A. x must be 0

B. x can be any number. it because every number times by 0 will be 0

Q2

(2⁸ . 5-⁵ . 19⁰)-² . (5-²/2³)⁴ . 2²⁸ =

2-¹⁶ . 5¹⁰ . 1 . 5-⁸ . 2-¹² . 2²⁸ =

2-¹⁶-¹²+²⁸ . 5¹⁰-⁸ =

2⁰ + 5² = 25

Q3

4.55 x 10¹³ - 1.78 x 10¹² =

45.5 x 10¹² - 1.78 x 10¹² =

43.72 x 10¹²

4,37 x 10¹³ kg

Q4

A. 3.9 x 10³³ ergs/s x 2.45 x 10⁵ s = 9.555 x 10³⁸

or in scientific we can write 9.56 x 10³⁸ ergs

B. 7.4 x 10-³ mm. Because the blood cell is a tiny part in.our body. it's impossible to have a cell blood of 7.4 x 10³ mm or 7.4 meters in diameter

The ladder can go as far as 3.1m

The given set up is. a triangle with the following parameters

Angle of elevation = 15 degrees

Hypotenuse = 12m

Required

Height of the building

Using the expression

sin theta = opp/hyp

sin 15 = h/12

h = 12sin15

h = 3.1m

Hence the ladder can go as far as 3.1m

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

#SPJ1

Answer:

Non of the above

Step-by-step explanation:

[tex]3 {x}^{2} + y \\ = x(3x + \frac{y}{x} ) \\ or \\ = y( \frac{ 3{x}^{2} }{y} + 1)[/tex]

Answer:

D. Prime

I just took the test

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.24

Answer:

3600

540

120

18

4278

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

v = s^3

v = (4)^3 [4x4x4]

v = 64

Answer:

Harry has a score of 30

Step-by-step explanation:

Let us represent their scores as:

Nathan = x

Harry = y

Jack = z

At the end of a football season a coach is adding up everyone's scores

Nathan has scored 11 more than harry

x = y + 11

Harry has scored 10 more then jack.

y = z + 10

z = y - 10

If the total of their scores is 91

x + y+ z = 91

y + 11 + y + y - 10 = 91

3y + 1 = 91

3y = 91 - 1

3y = 90

y = 90/3

y = 30

Since Harry's score is represented as y, Harry has a score of 30

Answer:

n = 5 ; n = -1

Step-by-step explanation:

n - 3 = 2

When you transfer (-3) to the other side of the equation, it turns into (+3).

n = 2 + 3

Evaluate.

n = 5

n + 3 = 2

When you transfer (+3) to the other side of the equation, it turns into (-3).

n = 2 - 3

Evaluate.

n = -1

Answer:

x=5

x=1

Step-by-step explanation:

|x-3|=2

x-3=2

x-3=-2

x=5

x=1

Answer:

y=1/2x+1/2

Step-by-step explanation:

plot the points

we know the y-intercept is 1/2 because of (0,1/2)

count how many times it goes up and how many times it goes down

then simplify your slope

write in y=mx+b form

Answer: The triangles are not similar.

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

Explanation:

Create a 3x3 table. It has 3 rows and 3 columns.

Above the top row, we'll have the side lengths of triangle VUW

Along the left side of the table, we'll have the lengths of triangle LNM

Refer to the diagram below to see what I mean. I used a spreadsheet program to create the table.

Once you have those table headers set up, you'll divide each possible pair of side lengths between the two triangles. For example, VU/LN = 35/20 = 1.75 which is represented as the green cell in the upper left corner (row1,column1). The other 8 green table cells are filled out the same way. This table is a handy way to keep track of all the terms since it's easy to lose track. Again, refer to the diagram below.

After the table is filled out, we need to ask ourselves: "Does a certain value show up 3 times in the green cells?". If so, then we could have similar triangles assuming this value shows up in every row and every column in some fashion.

Unfortunately, we don't have a value show up 3 times in the green cells. The values 1.4 and 1.75 come close by showing up twice, but not three times.

Since we don't have a value show up 3 times, this means that the sides are not proportional to one another. Therefore, the triangles are not similar.

Answer:

The widgets should be sold for $26.7 for the company to make the maximum profit.

Step-by-step explanation:

Given the quadratic equation

[tex]f\left(x\right)=-15x^2+801x-59000[/tex]

As the leading coefficient is (-3), so the graph would be a downward Parabola.

Thus, the maximum profit would be at the vertex.

The selling price 'x' can be determined by determining the x-coordinate of the vertex.

In order to calculate the x-coordinate of the vertex, we can find this by

x = -b/2a

where a = -15 and b = 801

x = -801 / 2(-15)

x = -801/-30

x = 801/30

x = 267/10

x = 26.7

Therefore, the widgets should be sold for $26.7 for the company to make the maximum profit.

Answer:

(1, 2)

Step-by-step explanation:

From the graph attached,

Two lines are representing linear system of equation.

Since, solution of any system of linear equations is a common point of the two lines.

In other words, point of intersection of these lines represent the solution of linear system of equations.

Solution of the linear system of equations → (1, 2)

Question

Juan deposited $2,250 in the bank to celebrate the birth of his son. After three years, he received his statement and the bank said he had $2,587.50 in the account.

How much interest did Juan earn in three years?

How much interest did Juan earn per year?

What was the interest rate?

Answer: GOOD LUCK

337 and 112.33

Answer:

337 and 112.33

Step-by-step explanation:

First answer is 337 u take the difference between the 2 numbers. And the interest is 112.33 per year u divide the interest by 3. I hope this helps.

The midline is the line Y=0 .

(That's the x-axis.)

Discount amount = price x discount percentage as a decimal:

Discount amount = 62.00 x 0.15 = 9.30

Discount = $9.30

Answer:

$52.70

Step-by-step explanation:

Answer:

Education in Nepal was long based on home-schooling and gurukulas.[citation needed] The first formal school (Durbar School), established by Jung Bahadur Rana in 1853, was intended for the elite. The birth of Nepalese democracy in 1951 opened its classrooms to a more diverse population.[citation needed] Education in Nepal from the primary school to the university level has been modeled from the very inception on the Indian system, which is in turn the legacy of the old British Raj.[1]

Step-by-step explanation:

Mark as brainliest

Follow me

Answer:

-4x^2 - 8......input (x) = 2

Step-by-step explanation:

-4(2^2) - 8 =

-4(4) - 8 =

-16 - 8 =

- 24 <==

i hope this helps you :)

Answer:

$40 and $72, see below :)

Step-by-step explanation:

One way we can do this is to add the total ratios and then divide that from 112.

10x + 18x = 28x = 112

28x = 112

x = 4

That means, for every ratio, you just have to multiply the amount by 4.

so for example, 10 is just 10 * 4 = 40

So, your answer would be you share the money into $40 and $72