Need help!! algebra!!!

Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Answer 1

Answer:

The length of each side is (2a-5) units

Step-by-step explanation:

4a^2 - 20a +25

= (2a)^2 - 20a + (-5)^2

=(2a - 5)^2

(9a^2 - 16b^2)

= (3a)^2 - (4b)^2  this is the difference of two squares, the factors are therefore

= (3a + 4b) * (3a - 4b)

The dimensions of the rectangle are:

one pair of opposite sides are 3a + 4b

and the other pair of opposite side perpendicular to the first pair is 3a - 4b

Answer 2

Answer:

Step-by-step explanation:

Need Help!! Algebra!!!Part A: The Area Of A Square Is (4a2 20a + 25) Square Units. Determine The Length

Related Questions

Carlos worked at a farmer's market on 4 summer weekends. He worked 5 hours on Saturdays and 4 hours on Sundays. How many hours did Carlos work in all at the farmer's market?

Answers

Answer:

36

Step-by-step explanation:

5x4=20

4×4=16

16+20=36


You have
A square piece of confetti has a perimeter of 24 millimeters. How long is each side of the
piece of confetti?


Please no links and please explain!!!

Answers

Answer:

6 millimeters

Step-by-step explanation:

All the sides on a square are equal and a square has four sides. For perimeter you add up all the sides which in this case have to add up to 24.

So, 6 + 6 + 6 + 6 = 24

Look at this triangle.
B
8 cm
A А
22 cm
С
Work out length AB.​

Answers

Answer:

AB=23.40cm

Step-by-step explanation:

(AB)²=(AB)²+(BC)²

(AB)²=22×22+8×8

=484+64

(AB)²=548

AB=23.40 cm

hope it helps...

have a great day!!

1 If it takes 48 hour to leak 8 liter water how many hour does it take to leak 15 liter water ? Show your steps .
2.If 7 kg potato is 140 $ how much kg can 340 $ buy ? Show your steps.
3.What is ratio. ​

Answers

Answer:

answer is 90 hr for question 1

Step-by-step explanation

48 hr     8 liter

 ?           15 liter

so what ur going to do is u criss-cross when u do u multipy 48 with 15 and 8 with "?" when u multiply 48 with 15 u get 720 and when you multiply 8 with "?" u get 8?

so it will look like this

720= 8?

let make "?" an "x" for a better understanding. so the reason we are making it an "x" is because we dont know the amount of hr it takes for 15 liters of water to leak.

let go back to the calculation.

so it will look something like this

720 = 8x

exactly the same thing but we made "?" an"x"

so now we divide both sides with 8. why? because we need "x" alone and want 8 to disappear

so when u divide both sides with 8 it will look something like this

780/8 =x

so when u divide 780 with 8 u get 90. so what does that mean? it means it takes 90 hr for 15 liters of water to leak.

do you understand?

I WILL GIVE BRAINLIEST!!! In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]\triangle ABC[/tex]

[tex]\angle A = 10[/tex]

[tex]\angle B = 145[/tex]

Required

Similar [tex]\triangle[/tex] to [tex]\triangle ABC[/tex]

The question is incomplete as the other triangles to make comparison from, are not given.

However, general information that could help you are as follows.

The given parameters show that we have to consider AA criterion for selecting similar triangles.

So, you need to check the [missing] given triangles, and pick any that have 10 and 145 (in that particular order) as measures of two of its angles.

Take for instance.

[tex]\triangle DE\ F[/tex]

Where

[tex]\angle D = 10[/tex]

[tex]\angle E = 145[/tex]

See that:

[tex]\angle D = 10[/tex] is similar to [tex]\angle A = 10[/tex]

[tex]\angle E = 145[/tex] is similar to [tex]\angle B = 145[/tex]

This means that:

[tex]\triangle DE\ F[/tex] is similar to [tex]\triangle ABC[/tex] by AA

Answer:

The answer is the 10 degrees on and 25 degreees

Step-by-step explanation:

AP EX

In 2015, the population of the United States was about 320 million people. About 7 out of 10 Americans live in urban areas. How many Americans live in or near large cities? 224 million 32 million 96 million 10 million​

plz I need help fast

Answers

224million is the correct answer.
7/10 of 320,000,000 is 224,000,000

Krissi has $14 in the bank and earns $8 a day. John has 35$ and earns $5 a day when will krissi have more money?

Answers

Answer: 8 days

Step-by-step explanation:

K=14+8x

J=35+5x

when K=J they will have the same amount

14+8x=35+5x

8x=21+5x

3x=21

x=7 days until they have the same amount- 8 days until she has more

What is the probability of rolling a 2 or a 3 on a regular fair die

Answers

Answer:

The possibility of rolling a  

3

on a fair die and getting tails on a coil is  

1

12

. Based on this probability, there are  

12

possible outcomes. As only 1 out of 12 possiblities would get this outcome, it is not a likely outcome.

Step-by-step explanation:

The probability of rolling a  

3

on a fair die is  

1

6

because there is only one  

3

out of  

6

numbers. The probability of getting tails on a coin is  

1

2

because there are  

2

possibilities and tails is one of them. To get the probability of rolling a  

3

on a fair die and getting tails on a coil, we multiply their probabilities:

1

6

1

2

=

1

12

There are  

12

possiblities because for each of the  

6

possibilites for rolling a die, there are  

2

possibilites for flipping a coin.

Find the surface area of the prism , need help and steps fast please!!

Answers

Answer:

190cm squared

Step-by-step explanation:

The surface area formula and a surface area calculator both gave this answer. Hope you do good on your assignment.

Pregunta 6
Compound X is made up of two parts A and one part B. The mass of compound X is 45, and A has twice the mass of B. Which two equations would you solve to find the individual masses of A and B?

Answers

Answer:

[tex]A = 2B[/tex]

[tex]A + B = 25[/tex]

Step-by-step explanation:

Given

The first statement implies that:

[tex]X = A + B[/tex] i.e the components of X

Reading further, we have:

[tex]X = 45[/tex] ---- The mass of X

[tex]A = 2B[/tex] --- The relationship between [tex]A\ and\ B[/tex]

Required

Two equations to represent the scenario

The two equations are:

[tex]A = 2B[/tex] --- The relationship between [tex]A\ and\ B[/tex]

[tex]X = A + B[/tex] i.e the components of X

Substitute 25 for X in the second equation

[tex]25 = A + B[/tex]

[tex]A + B = 25[/tex]

So, the equations are:

[tex]A = 2B[/tex]

[tex]A + B = 25[/tex]

Express -36/78 as a rational number with numerator 6:

Answers

Answer:

6/9

Step-by-step explanation:

Answer:

6/9 I think that's the answer

In triangle ABC, the measure of angle B is 50 degrees.

Give possible values for the measures of angles A and C if ABC is an acute triangle.

Answers

sup do you have the photo of your hw?

express 350 as a product of prime factors.
step by step explanation​

Answers

Answer:

not a prime factor

Step-by-step explanation:

Find the exact value of the expression cos-1(1/2)

Answers

Answer:

60

Step-by-step explanation:

Plug it into the calculator

I need help!! thnaks

Answers

Answer:

7a + 2b

Step-by-step explanation:

Given

4a + 3b + 3a - b ← collect like terms

4a + 3a + 3b - b

= 7a + 2b

When a new highway is formed, the smoothness of the surface must be verified. A contractor is making a bid for this job and has a truck with the relevant detector. This detector must meet minimum standards for detecting irregularities in the road surface. If there is a roadway irregularity, there is a probability of 0.99 the detector will detect it. If there is no irregularity, there is a 0.06 probability detector will identify it as irregular (a false positive). It is known through experience that 3 miles out of 100 miles actually contain irregularities.
a. What is the probability the detector will identify a random mile of roadway as irregular? Give your answer to four decimal places.
b. Given a randomly selected miles has been identified as irregular by the detector, what is the probability it actually is irregular? Give your answer to four decimal places.

Answers

Answer:

a) 0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular.

b) 0.3379 = 33.79% probability it actually is irregular

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. What is the probability the detector will identify a random mile of roadway as irregular?

99% of 3%(it is irregular).

6% of 97%(false positive). So

[tex]p = 0.99*0.03 + 0.06*0.97 = 0.0879[/tex]

0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular.

b. Given a randomly selected miles has been identified as irregular by the detector, what is the probability it actually is irregular? Give your answer to four decimal places.

Conditional probability:

Event A: Identified as irregular

Event B: It is irregular.

0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular, which means that [tex]P(A) = 0.0879[/tex]

99% of 3% arre irregulars identified as, which means that [tex]P(A \cap B) = 0.03*0.99 = 0.0297[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0297}{0.0879} = 0.3379[/tex]

0.3379 = 33.79% probability it actually is irregular

1
An expression is shown below.
75-33 • 17 - 10
What value is equivalent to this expression?
A 156
B.
48
C 144
D-6

Answers

Hi there I know the answer but it was confusing so it has to be D or B

What is the value of the digit 4 in 149,832?

Answers

Answer:

40,000

Step-by-step explanation:

Answer:

It would be 40,000

Explanation:

It is in the ten thousands digit.

can you guys. guy's. Help me pls

Answers

Answer:

J)  [tex]\frac{17}{24}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8} +\frac{1}{3} \\\\\frac{9}{24} +\frac{8}{24} = \frac{17}{24}[/tex]

Find the common denominator ^^

Answer:

17/24

Step-by-step explanation:

3/8× 3/3=9/24

1/3×8/8=8/24

8/24 +9/24= 17/24

Find the value of x in the triangle shown below.

a.164
b.2
c.6
d.80

Answers

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]

by using Pythagoras law:

h²=p²+b²

10²=z²+8²

z²=100-64

z=√36=6

z=6 units.

The new floor in the school cafeteria is
going to be constructed of square tiles that
are either gray or white and in the pattern
that appears below. What is the ratio of

Answers

Answer:

Step-by-step explanation:

18 tiles and 10 shaded in

PLEASE HELP ILL MARK BRAINLIST The drama club is going on a trip to Brenau University's theatre. The trip costs each member $65. Included in that price is $10 for the cost of renting a charter bus and the cost of 2 plays. Each play costs the same price.

Write an equation representing the cost of the trip for each member. Let x represent the cost of each play.

Determine the price of one play. Solve your equation by showing your work and steps. (10 points)

Answers

9514 404 393

Answer:

65 = 10 + 2x . . . equation for trip costx = 27.50 . . . cost of play

Step-by-step explanation:

We are told that the costs add up this way:

  trip cost = bus rental + 2 × (cost of play)

Given that ...

trip cost = $65bus rental = $10cost of play = x

The above equation can be rewritten as ...

  65 = 10 + 2x . . . . . . the desired equation

__

Solving for x, we have ...

  55 = 2x . . . . subtract 10

  27.50 = x . . . . divide by 2

The cost of one play is $27.50.

The bell on the clock tower rings every 15 minutes. If the bell has rung 24 times, how many minutes have passed?

Amber chose A. How did she get that answer?

Answers

Answer 360min = 15 days

Work:
Bell rings every 15 min
It ringed 24 times

15 min x 24 = 360min = 15 days

someone please help me with this please

Answers

Hi there!

[tex]\large\boxed{P = 22 cm}[/tex]

To find the perimeter, we must find the length of the rectangle.

We know the area is 24, thus:

A = l × w

24 = l × 3

24/3 = l = 8 cm

Find the perimeter using the formula:

P = 2l + 2w

Plug in the solved length and width:

P = 2(8) + 2(3) = 16 + 6 = 22 cm.

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
Camille is saving for a laptop that costs about $850. To model her savings plan and determine how many more months it will take her to reach her goal, she recently created this equation, where y represents the total amount saved and x represents the number of months. Which statement about her work is true?'

A. Camille used the associative property in step 3.

B. Camille used the multiplication property of equality in step 4.

C. Camille used the subtraction property of equality in step 5.

D. Camille used the substitution property in step 6.

Answers

Step 4 is the right answer

Please answer


On the last page of her spiral
she found a note that tells
her to multiply the number
of
pages she has filled by 17.
The note also tells her to
take her answer to the
school office
to pick up a prize if the
answer is correct. What is
the correct answer?
A 2,432
B 1,240
C 2,346
D 2,436

Answers

Answer:

the correct answer is 2,432

(12+9i)+(10+25i)
Simplify?

Answers

Answer:

22+34i

Step-by-step explanation:

Brainliest?

Answer:

22+34i

Step-by-step explanation:

(12+9i)+(10+25i)

12+9i+10+25i

12+10+9i+25i

22+34i

7000×3
help me plssßsssssssssssssssss​

Answers

Answer: 21000

its 21000 hope this helps have a good rest of day/night :D <3

Step-by-step explanation:

The height of a triangle is 7 inches greater than the base. The area of the triangle is 225 square inches. Find the length of the base and the height of the triangle.

Answers

Answer:

Height is 25in

Base is 18in

Step-by-step explanation:

225=[x*(x+7)]/2=[x^2+7x]/2

450=x^2+7x

x^2+7x-450=0

(x+25)(x-18)=0

Suppose the sample space for a probability experiment has 8 elements. If elements from the sample are selected
without replacement, how many different ways can you select all of them?
55
Drive
Remember that "without replacement" means that the items are not returned to the sample space after they are chosen.
Recording
Write your answer in factorial notation.

Answers

Answer:

You can select all of them is 40320 ways.

Step-by-step explanation:

Number of arrangements of n elements:

The number of arrangements of n elements, that is, the number of ways in which n elements can be chosen without replacement, is given by:

[tex]A_{n} = n![/tex]

In this question:

8 elements, so:

[tex]A_{8} = 8! = 40320[/tex]

You can select all of them is 40320 ways.

Other Questions
Paraphrase the sentences extracted from "Theater Fights Stiqma and Discrimination." 1. "Every time I'm confronted with this attitude, I know that we have to work even harder and to keep going so that we can get to the youth in order to prevent suffering and save lives What was the strategy the Americans used during the battle of Cowpens ?A.They used guerilla warfare as in earlier campaignsB.They charged the British with bayonets drawnC.They retreated and allowed the natives to beat the BritishD.They dropped their center after firing two shots drawing in the British into an ambush hello can somebody help me Plzz help. Finding answers from smart people plzz. Will give Brainiest. Question below: (thanks!) What is a central idea in the second article, 7 Liner Titanic Wrecked by Iceberg?A. Nearby ships were unable to reach the Titanic before it sank.B. The Titanic did more damage to the iceberg than the iceberg did to it.C. Passengers were moved to safety after the Titanic struck the iceberg. D.The Titanic sank with passengers still on board after striking the iceberg A rectangular park is 70 meters wide and 100 meters long.Give the length and width of another rectangular park that has the same perimeter but a smaller area. One orbit of the earth around the sun equals _____________ miles.595 million360 million5,280 integrated scienceplant reproduction Find side length using trig A weight training program that divides training sessions into upper and lower body training is referred to as which of the following? please help ill give brainliest Twenty-four out of the forty pies at a bake sale are coconuts pies. Whatpercent of the pies are coconut? The statement, "With American and British scientistsworking together we entered the race of discovery againstthe Germans, (line 23-24) shows Marty, a 16-year-old, contracted with Cream-of-the-Crop Cycles to buy an $8,000 motorcycle. He agreed to make monthly payments until the purchase price plus interest were paid in full. It is three years later and Marty has not disaffirmed the contract and has made regular payments on the cycle since turning 19. Which of the following is correct?A) The contract is voidable by Marty.B) The contract is void as soon as it is made.C) The contract is voidable by Cream-of-the-Crop Cycles.D) The contract is voidable by either Marty or Cream-of-the-Crop Cycles. Which of the following effects results from the interference of two soundwaves that have slightly different frequencies?A. BeatsB. IntensityC. LoudnessD. EchoesSUBMI Please help! *no links* GIVING BRAINIEST In 1848, there was a movementfor women's rights. Where didthis movement begin?A. Seneca Falls, N.Y.B. Washington, D.C.C. Philadelphia, PAD. Chicago, IL In addition to raising revenue internally, from which other sources do American Indian tribes receive funding? Check all that apply.foreign governmentsthe federal governmentnational lotteriesoutside businessesgaming establishments Please help! Brainliest to first who gets it right!