which expression is equivalent to 2x^(2)+11x+5

Answer:

The center of the circle is (3, -4)

The diameter of the circle is 2

Step-by-step explanation:

The given equation of the circle is x² - 6·x + y² + 8·y = 24

The general form of the equation of a circle is x² + y² + 2·g·x + 2·f·y + c = 0

The center of the circle = (-g, -f)

The radius of the circle = √(g² + f² - c)

By comparing the given equation of the circle with the general form of the equation of a circle, we have;

2·g = -6, 2·f = 8, and c = 24

From 2·g = -6, we get;

∴ g = -6/2 = -3

g = -3

from 2·f = 8, we get;

∴ f = 8/2 = 4

f = 4

Therefore;

The center of the circle, (-g, -f) = (-(-3), -4) = (3, -4)

The center of the circle = (3, -4)

The radius of the circle, r = √(g² + f² - c) = √((-3)² + 4² - 24) = 1

The diameter of the circle, d = 2×r = 2 × 1 = 2

The diameter of the circle = 2.

Answer:

C) 92, leg

Step-by-step explanation:

a² + 28² = 96²     *the hypotenuse is always the longest side

a² + 784 = 9216

a² = 8432

a = √8432

'a' is approximately 92, and is a leg

Step-by-step explanation:

(1, -3). (3, 0)

(0 + 3)/(3 - 1) = 3/2 is the slope

Answer:

12.57 in⠀⠀⠀⠀⠀

Answer:

12.56 inches

Step-by-step explanation:

A= pie x r^2

= 3.14 × 2^2

= 3.14 × 4

= 12.56

Answer:

can you translate to English

Step-by-step explanation:

Answer:

Quadratic formula is the tool for solving for an unknown number (usually x)

Step-by-step explanation:

The formula is below

Answer:

Below.

Step-by-step explanation:

The formula, which gives the solutions of the equation, is

x = [-b ±√(b^2-4ac)]/2a.

- a, b and c are the coefficients of the quadratic equation

ax^2 + bx + c = 0.

Answer:

 4 • (5w + 2)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (2 • (w + 7)) +  6 • (3w - 1)

STEP

2

:

Equation at the end of step 2

 2 • (w + 7) +  6 • (3w - 1)

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  20w + 8  =   4 • (5w + 2)

Answer:

20w + 8

Step-by-step explanation:

2(w+7)+6(3w−1).

step 1 distribute the 2 to the w and the 7

2 * w = 2w

2 * 7 = 14

we now have 2w + 14 + 6( 3w - 1 )

step 2 distribute the 6 to the 3w and -1

6 * 3w = 18w

6 * -1 = -6

we now have 2w + 14 + 18w - 6

step 3 combine like terms

2w + 18w = 20w

14 - 6 = 8

we're left with 20w + 8

Answer:

45 hours

Step-by-step explanation:

if he makes 18 dollars per hour and he has 810 dollars all you have to do is divide 810/18 and you get 45

Answer:

8y - 56

Step-by-step explanation:

Answer:

multiply 8 by the numbers in brackets 8y-56

Answer:

49 inches

Step-by-step explanation:

To obtain the height, h of the ramp ;; we use trigonometry ;

h = opposite and the value of the hypotenus :

Sin θ = opposite / hypotenus

Sin 22 = h / 132

h = 132 * sin 22

h = 132 * 0.3746065

h = 49.44

Height of ramp = 49 inches

156.12 if using pi

150.8 if using π

Answer:

[tex]\displaystyle m = -3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify points from graph

Point (-1, 0)

Point (0, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

-3

Step-by-step explanation:

Answer:

[tex]\sqrt{399}[/tex] or 19.97 but if you round to nearest tenth it is 20

Step-by-step explanation:

using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex]

substitute the values of 1 for a, leave b since we do not know it, and 20 for c.

So we have

[tex]1^{2}+b^{2}=20^{2}\\1+b^{2}=400\\[/tex]

Solve for b,

[tex]b^{2}=399\\b=\sqrt{399}[/tex]

Answer:

20

Step-by-step explanation:

a^2+b^2=c^2

1^2+b^2=20^2

1+b^2=400

-1 -1

b^2=399

then take the square root of both and get 19.97498436

and after that, u round to the nearest 10th and get 20

hope this helps

Answer:

3/4

Step-by-step explanation:

sin^2(240°)

=sin^2(360-120)

=sin^2(-120)

={-sin^2(120)}

=(-[tex]\sqrt({3} /2)^2[/tex]

=3/4

Step-by-step explanation:

i hope so u can see sorry

and it is correct

Step-by-step explanation:

log_6^36+log_6^216

= log_6^ (36 × 216)

= log_6^ (6² × 6³)

= log_6^ (6^5)

= 5

Answer:

22 Red Jellybeans

Step-by-step explanation:

Out of the 55 jellybeans in the jar, 40% of them are red, which means you have to do 40% of 55 to see which ones are red. We know 10% of 55 is 5.5, then multiply 5.5 x 4 to get 22 is 40% of 50 hope this helped :)

Answer:

∠DEB or ∠BED

Step-by-step explanation:

The letter of the angle always goes in the middle.

Answer:

Bhimrao Ramji Ambedkar, (born April 14, 1891, Mhow, India—died December 6, 1956, New Delhi), leader of the Dalits (Scheduled Castes; formerly called untouchables) and law minister of the government of India (1947–51).

Born of a Dalit Mahar family of western India, he was as a boy humiliated by his high-caste schoolfellows. His father was an officer in the Indian army. Awarded a scholarship by the Gaekwar (ruler) of Baroda (now Vadodara), he studied at universities in the United States, Britain, and Germany. He entered the Baroda Public Service at the Gaekwar’s request, but, again ill-treated by his high-caste colleagues, he turned to legal practice and to teaching. He soon established his leadership among Dalits, founded several journals on their behalf, and succeeded in obtaining special representation for them in the legislative councils of the government. Contesting Mahatma Gandhi’s claim to speak for Dalits (or Harijans, as Gandhi called them), he wrote What Congress and Gandhi Have Done to the Untouchables (1945).

In 1947 Ambedkar became the law minister of the government of India. He took a leading part in the framing of the Indian constitution, outlawing discrimination against untouchables, and skillfully helped to steer it through the assembly. He resigned in 1951, disappointed at his lack of influence in the government. In October 1956, in despair because of the perpetuation of untouchability in Hindu doctrine, he renounced Hinduism and became a Buddhist, together with about 200,000 fellow Dalits, at a ceremony in Nagpur. Ambedkar’s book The Buddha and His Dhamma appeared posthumously in 1957, and it was republished as The Buddha and His Dhamma: A Critical Edition in 2011, edited, introduced, and annotated by Aakash Singh Rathore and Ajay Verma.

Step-by-step explanation:

hope it is helpful to you

The Answer is:

C.) (x+2)(x+3)

Answer:

(x-2)(x+3)

Step-by-step explanation:

1. Start by setting up the synthetic division. The numbers 1, -4, -11, and 30 go on the inside on the division. To get the number on the outside, set x-5 equal to 0. solve and get 5.

2. bring the one down. multiply the one and the five and place the number you get underneath the -4 in the next column. From there, add the two numbers in the column.

3. After adding those two numbers, put the number you get (which should be 1) directly below the 5. Now multiply that number and the 5 again.

4. Repeat these steps until you fill the spaces under the next two columns. If you do it correctly, the number at the bottom of the very last column should be 0. This zero is known as the remainder. The remainder is not needed to complete this problem.

 Now that you have finished synthetic division, it is time to set up the new equation you got.

5. The 1 on the bottom left will be your [tex]x^{2}[/tex] value, the next 1 will be your x value, and the -6 will be your c. You should get the equation [tex]x^{2} + x -6[/tex]

6. From here, factor the polynomial. The factors must add up to the middle value (1) and multiple to c (-6). The factors -2 and 3 add up to 1 and multiply to -6

Therefore, your answer will be (x-2)(x+3)

Answer:

profit percentage is =(amount sold-amount bought)×100/amount bought

Answer:

profit: 1500-1000=500

profit percentage=x

now,

x % of 1000= 500

50% is the answer.

Answer:

#    Tally

1:     ||||| (5)

2:    | (1)

3:    |||| (4)

4:    ||| (3)

5:    || (2)

6:    ||| (3)

Answer:

x = ~33.77

Step-by-step explanation:

divide .77 on both sides.

x = 26/0.77 = 33.766234 rounded to the nearest hundredth is 33.77.

lets check our answer by plugging it in:

33.77 * 0.77 = 26.0029 which is close enough

Answer:

Step-by-step explanation:

Half life means the period after which the material will have only 50% of it left, as if by magic.

Half life is given as 12 hours, so 24 hours is twice half-life.

If we start with 96 grams, after 12 hours, there will be 48 grams left.

After another 12 hours, (total of 24 hours), only half is left, namely 24 grams.

[tex] \large \boxed{0.000000009}[/tex]

Here we go :

[tex] \rightarrow9 \times 10 {}^{ - 9} [/tex]

[tex] \rightarrow \dfrac{9}{10 {}^{9} } [/tex]

[tex] \rightarrow \dfrac{9}{1000000000} [/tex]

[tex] \rightarrow0.000000009[/tex]

[tex] \bold{ \mathfrak{hope \: it \: helps \: you......}}[/tex]

Answer:

E

Step-by-step explanation:

If you break each classification of what items metter most you get the following percentahes:

Books             48%

Study Areas     5%

Classes             6%

Movies             20%

A - you could make an argument that this MAY be an accurate reflection but the percentage does not bring 15% into the data so this seems like conjecture.

B - Data suggest a higher support for books at 48%

C - Data suggest 1 or two in a group of 25 would answer study areas

Answer:

NL = 13.26

x = 9.5

Step-by-step explanation:

Find the diagram attached

1) Given that NK = 7 and KL = 15

NL² =  KL² - NK²

NL²  = 15² -7²

NL²  = 176

NL  = 13.26

2) Given that m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°

From the  rhombus;

m<JML = 120 degrees

m∠JMK + m∠LMK = m∠JML

8x-13 + 4x +19 = 120

12x + 6 = 120

12x = 120-6

12x = 114

x = 114/12

x =  9.5

Hence the valle of x is 9.5

Answer:

A

Step-by-step explanation:

just A

successive y values are 5 TIMES the previous y value

In all the others the y value is an ADDITION of the same amount to the previous y value

answer is in the picture