If a = 3 sqrt(3) in the right triangle shown, what is the value of b?

Hello!

[tex]\large\boxed{Slope = -\frac{1}{3}}[/tex]

x + 3y = 2

Rewritten into slope form: y = mx + b

Find the slope when rewritten:

Move x to the right hand side of the equation. (Subtract)

x - x + 3y = 2 - x

3y = 2 - x

Divide both sides by 3:

y = 2/3 - 1/3x

Rearrange:

y = -1/3x + 2/3.

The slope is equivalent to -1/3.

[tex]f(x)=3x^2-5[/tex]

Substitute x = -11 in the equation.

[tex]f(-11)=3(-11)^2-5\\f(-11)=3(121)-5\\f(-11)=363-5\\f(-11)=358[/tex]

Thus, the answer is 358 aka the second choice.

Answer:

798.15

Step-by-step explanation:

5321 x .15 = 798.15

(I think)

Answer:

798.15

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

11x-2 = 75

+2. +2

---------------

11x = 77

/11. /11

Answer:

17.5

Step-by-step explanation:

soln:

given,

since, x and y are directly proportional

and x=140, y=35

dividing x by y we get,

x/y=140/35

or,x/y=4/1

or,x=4y

when x=70,

x=4y

or,70=4y

•°•y=17.5

Answer:

Step-by-step explanation:

d = 4 cm   ⇒  r = 2 cm

so:

[tex]V=\frac13\pi r^2\cdot H=\frac13\pi\cdot 2^2\cdot8\approx\frac13\cdot3.1415926...\cdot32=33.51032...\approx33.5\ cm^3[/tex]

Answer:

24

Step-by-step explanation:

4x6

Answer:

f(3) = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 1/3x + 5

f(3) is x = 3

Step 2: Evaluate

We will select the third row from the pascal triangle to expand the binomial expression   (22³ + 3y²)²  which is equal to

                     (22³ + 3y²)² = 22⁶ + 63888y² + 9y⁴

We know that when we need to expand the expression (a + b)² we select the coefficients from the row of triangle beginning with 1,2 which is (1,2,1).

And when we write the expansion we note that with each new term we decrease the power of a and increase the power of b.

Thus the expansion can be written as

    (a + b)² = 1a² + 2ab + 1b²

which we normally write as

     (a + b)² = a² + 2ab + b²          (1)

According to the question we have been the expression as

(22³ + 3y²)² which is equal to the above expression where,

              a = 22³   and   b = 3y²

Putting the required values in equation (1) we get

      (22³ + 3y²)² =   (22³)² + 2(22³)(3y²) + (3y²)²

                         = 22⁶ + 63888y² + 9y⁴

Hence we will select the third row from the pascal triangle to expand the binomial expression   (22³ + 3y²)²  which is equal to

                     (22³ + 3y²)² = 22⁶ + 63888y² + 9y⁴

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Answer:

just post them all in one question instead of a ton of different questions. it's annoying.

Step-by-step explanation:

Answer:

Y=7y=105

Step-by-step explanation:

Answer:

x = 7

y= -11

Step-by-step explanation:

Answer:

1) {5,7}

2) {1,2,5,7}

Step-by-step explanation:

1) A union B union C

means you take common contents in all A,B,C

2) A and B and C

means you take all the contents of all A,B,C and combine

Answer: 6x³+7x²y-16xy²+10y³

Step-by-step explanation:

( 2x + 5y )( 3x² - 4xy + 2y²)

⇒ (2x * 3x² ) = 6x³

⇒ (2x * - 4xy) = -8x²y

⇒ (2x * 2y² ) =  4xy²

⇒ (5y * 3x² ) = 15x²y

⇒ (5y * - 4xy) = -20xy²

⇒ (5y * 2y² ) =  10y³

( 2x + 5y )( 3x² - 4xy + 2y²) = 6x³-8x²y+4xy²+15x²y-20xy²+10y³

                                              = 6x³+7x²y-16xy²+10y³

Answer:

c

Step-by-step explanation:

area of triangle=1/2 area of rectangle

where l=base

w=height of triangle.

Answer:

The answer is A.

Step-by-step explanation:

I hope that help's??

Answer:

I think it's 1,920

Step-by-step explanation:

Multiply 320 × 6 which would give you 1,920!

Number of portions of 8 ¾ ounces each can be made from a boneless roast weighing 28 pounds is 51 7/35.

Here,

A boneless roast weighing = 28 pounds

Each portion = 8 3/4 ounces

We have to find the number of portion.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Now,

Since, 1 pound = 16 ounces

Hence, 28 pound = 28 x 16 = 448

So, Number of portions = 448 ÷  8 ¾ =  448 ÷ 35/4 = 51 7/35

Therefore, Number of portions of 8 ¾ ounces each can be made from a boneless roast weighing 28 pounds is 51 7/35.

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Answer:

3 hours

Step-by-step explanation:

Step one:

given

Andrea started 6 miles ahead of Peter and is traveling at a rate of 12 miles per hour.

let the number of hours be x

and the total distance traveled be y

y=6+12x------------1

the initial distance is 6 miles

the distance traveled after x hours = 12x

Peter is traveling at a rate of 14 miles per hour.

y=14x------------2

the initial distance is 0 miles

the distance traveled after x hours = 14x

Step two:

let us equate the two expressions above

6+12x=14x

14x-12x=6

2x=6

divide both sides by 2

x=6/2

x= 3 hours

it will take 3 hours for both of them to cover the same distance

Answer:

exact form 296/3 decimal form 98.6666666 mixed number form 98 2/3

Step-by-step explanation:

Answer:

First result: X = 248/3 or 82.67    Second result: X = 260/3 or 86.57

Step-by-step explanation:

1st one: 7x + 8(x + 1/4) = 3(6x - 90 - 8)

              7x + 8x + 2 = 18x - 270 - 24

                 15x + 2 - 2 = 18x - 246 - 2

                  15x - 18x = 18x - 18x -248

                -3x = 248  -->   -3x/3 = 248/3

                    X = 248/3 or X = 82.67

2nd one: 7x + 8(x+1/4) = 3(6x - 90) - 8

                  7x + 8x + 2 = 18x - 270 - 8

                   15x + 2 - 2 = 18x - 262 - 2  

                    15x - 18x = 18x -18x - 260

                   -3x = 260 --> -3x/3 = 260/3

                        X = 260/3 or X = 86.67

Sorry if none of these are the answer!

Answer:

A pendulum is a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced sideways from its resting, equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position

EXAMPLES:

the tick in a grandfather clock, a wrecking ball suspended by a chain or link

Step-by-step explanation:

hope this helps! please mark brainliest:)

A pendulum is a simple device consisting of a weight suspended from a fixed point, allowing it to swing back and forth under the force of gravity

Pendulum: A pendulum is a simple device consisting of a weight suspended from a fixed point, allowing it to swing back and forth under the force of gravity. The bob is typically attached to a string, rod, or wire that allows for free movement.

When a pendulum is set in motion, it swings back and forth in a regular and repetitive pattern.

The motion of a pendulum is governed by several factors, including the length of the pendulum, the mass of the bob, and the gravitational acceleration.

The swinging motion of a pendulum is influenced by two fundamental principles:

1. Period: The period of a pendulum is the time it takes for the pendulum to complete one full swing from one side to the other and back. The period depends on the length of the pendulum and is not affected by the mass of the bob. A longer pendulum will have a longer period, while a shorter pendulum will have a shorter period.

2. Oscillation: The pendulum oscillates due to the force of gravity acting on the bob. As the pendulum swings to one side, it gains potential energy, which is then converted into kinetic energy as it swings back. This energy transfer causes the pendulum to continue swinging back and forth.

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Answer:

0.0061728395

Step-by-step explanation:

BOOM

Answer:

4:10 and 6:15 are equivalent to 2:5

Answer:

18

Step-by-step explanation:

It is asking for the absolute value of 18. The absolute value is the units away from 0 the number is, so the answer is 18.

Answer: the answer is 1^19 (one to the power of 19)

Step-by-step explanation:

 l^18 multiplied by l^1 = l^(18 + 1) = l^19

(1 to the power of 18 multiplied by 1 to the power of 1 equals 1 to the power of (18 + 1) equals 1 to the power of 19)

Answer:

The second one

The third one

Step-by-step explanation:

Answer:

the point is located at 7,0. the point is on the y-axis.

Step-by-step explanation:

Answer:

1) y=1/2x+4 and y=-2x-4

2) y-9 = -2(x+7)

Step-by-step explanation:

1) Perpendicular lines must have reciprocal slopes. So, the sign must be switched and the numerator and denominator must be switched.

2) Point-slope form is [tex]y-y_{1} = m(x-x_{1})[/tex]

So plug the slope and point in.

y - 9 = -2 (x - (-7))

y-9=-2(x+7)

3) Triangle AED is congruent to triangle CFD (SAS)

Answer:

48$ -specific (not rounded)

Step-by-step explanation:

There could be other solutions that can work. Such as counting the 79.99 to just 80. But for the very SPECIFIC value, you have to find 40% of 79.99 by multiplying it by .4 .        79.99*.4 = 31.99.         After that, you would subtract 79.99 and 31.99 which would get you to 48.

Answer:

$47.99

Step-by-step explanation:

79.99*40/100

79.99*0.4

40% of $79.99 = $32.00 ( rounded )

79.99 - 32 = $47.99