Factorise the following terms : a2 + bc + ac + ab​

Answers

Answer 1

Answer:

a²+bc+ac +ab

a²+ac+bc+ab

a(a+c)+b(c+a)

(a+c)(a+b)

Answer 2

Answer:

Step-by-step explanation:

take "a " and "c" as commons

a(2+b) + c(a+b)


Related Questions

Ms. Para buys 8 boxes of clay for a science project. each box contains 19 grams of clay. the clay is equally shared among all 20 student. how many grams will each student get.

Answers

Answer:

7.6 g

Step-by-step explanation:

No: of boxes = 8

Grams of clay in each = 19

Total no: of grams = 19 x 8 = 152

No: of students = 20

Grams eah will get = 7.6

I hope im right!!

If the side lengths of a cube are 16 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
A. 16 ⋅ 3
B. 16 ⋅ 16 ⋅ 16
C. 16^3
D. 3^16

Answers

The answer would be B

A blimp is flying directly above a football field. The angle of depression to the base of one goal post is 40°. The angle of depression to the base of the other goal post is 72°. If the goal posts are 360ft apart, how high is the blimp flying? Round to the nearest tenth of a foot.​

Answers

Answer:

. A blimp is flying directly above a football field. The angle of depression. 555.OF+ to the base of one goal post is 40. The angle of depression to the base of the other goal post is 72". If the goal posts are 360 feet apart. 7. how high is the blimp flying? Round to the nearest tenth of a foot. : a Sih C 8 360 5in (68) 333.8 36 0F 7. The bearing from a lighthouse to Ship A is S71 E. The bearing from the lighthouse to Ship B is S 39° E. If Ship A is 15 kilometers from the lighthouse and Ship B is 96 kilometers from the lighthouse, find the distance between the ships. Find the areg of each triangle. Round answers to the nearest tenth. B. 84.0 8. 2. 11m ((uSin 64) 15.q ft 64 10.

The blimp flying is "237 m" high.

Angle of depression

According to the question,

In ΔABC,

∠XCA = ∠CAB = 72°

∠YCB = ∠CBA = 40°

Now,

→ ∠A + ∠B + ∠C = 180°

By putting the values,

  72° + 40° + ∠C = 180°

           112° + ∠C = 180°        

                     ∠C = 180° - 112°

                           = 68°

By applying Sin Rule,

→ [tex]\frac{AB}{Sin \ 68^{\circ}} = \frac{AC}{Sin \ 40^{\circ}}[/tex]

        AC = [tex]\frac{360\times Sin \ 40^{\circ}}{Sin \ 68^{\circ}}[/tex]

We know that,

Area of ΔABC = [tex]\frac{1}{2}[/tex] × AB × AC × Sin 72° ...(Equation 1)

Area of ΔABC = [tex]\frac{1}{2}[/tex] × AB × h ...(Equation 2)    

From "Equation 1 and 2",

→ [tex]\frac{1}{2}[/tex] × AB × AC × Sin 72° = [tex]\frac{1}{2}[/tex] × AB × h      

                                   h = AC × Sin 72°

By substituting value of "AC",

                                      = [tex]\frac{360\times Sin \ 40^{\circ}}{Sin \ 68^{\circ}}[/tex] × Sin 72°

                                      = 237.36 or, 273 m

Thus the answer above is correct.  

Find out more information about angle of depression here:

https://brainly.com/question/10217662

16x+16x+13x=180
what are the angle measures for:16x,16x,and 13x?​

Answers

Step-by-step explanation:

16x+16x+13x= 180

45x= 180

x= 4

16x= 64°

16x = 64°

13x= 52°

SOMEONE PLZ ANSWER THE NUMBERS!!!!

Answers

Answer: The median for the set of numbers is B. 11.

Step-by-step explanation: Order numbers least to greatest. 4,4,9,10,12,23,68,70

Find the middle numbers:

10, 12.

Find the number in between 10 and 12.

= 11

Answer:

B: 11

Step-by-step explanation:



A buoy is floating in the sea and can be seen from the top of a vertical cliff. A boat is travelling from the base

of the cliff directly towards the buoy. The top of the cliff is 142 m above sea level. The angle of depression

from the top of the cliff to the buoy is 40 degrees.

Answers

Answer:

169.23m

Step-by-step explanation:.

Let's calculate the base of the cliff. Using SOH CAH TOA identity

Height (opposite) = 142n

Angle of depression = 40°

Required

Base of the cliff

Tan theta = opposite/adjacent

Tan 40 = 142/x

x = 142/tan40

x = 142/0.8391

x = 169.23m

Hence the base of the cliff is 169.23m long

A parachutist's elevation changes by - 72 ft in 9 seconds. What is the change in the parachutist's elevation each second

Answers

Answer:

Step-by-step explanation:

dy/dt=-72/9=-8ft/s

sara bought 36 ounces of cheese for 3.24 what was the unit price of cheese​

Answers

Answer:

$0.09

Step-by-step explanation:

Unit price= total price/ total units

$3.24/ 36oz= $0.09

Answer:

$0.09

Step-by-step explanation:

i just used my homework for this so i don't really know how to explain it cause i just had my answer there.

( 3.24 / 36 = $0.09 )

what conclusions can you give why some students decided not to go to school?​

Answers

Step-by-step explanation:

There are a number of reasons why some students decide not to go to school. Some of them may be associated with family and psychological problems such as anxiety and depression, which should be investigated by trained professionals at the school if there is any suspicion of these symptoms.

There is also the possibility that students who have decided not to go to school have been victims of bullying and aggression at school, which causes fear of retaliation and psychological trauma that negatively impact the person's life.

It is important that schools provide psychological support and an active policy that combats bullying and is pro-integration of students and diversity.

Your total at a
restaurant is $50. If you
want to tip the server
15%, what is your
total?

Answers

Answer:

tip: $7.50

total: $57.50

Step-by-step explanation:

you change the 15% into a decimal by moving the the decimal point 2 spots to the left so now you have .15

next do .15 * 50 to get 7.5, which is the tip

now to find the total, add 7.5 + 50 to get 57.5

Answer:

your total cost would be $57:50

Luke had $4,500 in his bank account and spent $1,800. What percent of his money did he spend?

Answers

Answer:

40%

Step-by-step explanation:

1800/4500 = 0.4

0.4 x 100 = 40%

Your answer is going to be 40%.
He spent 40% of his money

Given: B (3, -9) , and C(11,6) what is the segment BC

Answers

Answer:

B

Step-by-step explanation:

Please help me quick! Please no silly answers just to get points.
Thank you! Will give brainliest to first correct answer!

Answers

Answer:

90 degrees

Step-by-step explanation:

Answer:

x=120°

Step-by-step explanation:

................

a + x + p + 8 = r
solve for x

all help is appreciated!!

Answers

a+x+p+8 =r

(to solve isolate x)

x=r-(a+p+8)

x= r-a-p-8

rebecca throws a fair six sided dice.
the letter in the diagram in the image attached that matches the probability of the dice landing on a number between 1 and 6 .​

Answers

Answer:

G

Step-by-step explanation: The dice will always land on a number between 1 and 6 because as long as it lands on a number this will come true so there is a 100% chance that a number is landed on.  G

I'm stressing out can someone help!

Answers

Answer:

please like

Step-by-step explanation:

164-52=112

112÷8=14

so for a

the upper option

14w + 52(her savings) = 164 (bike cost)

for b

w=14

Answer:

xd nie powoem bo nie wiem xd xd xd xd xd xd x d

Find a • b if a=3i+8j and b=-0.5-4j

Answers

Answer: -8j + 3i

Step-by-step explanation:

3i + 8j · (- 0.5) - 4j

3i-8j · 0.5 - 4j

3i-4j-4j

3i-8j

-8j+3i

Hope this helps

Answer:

−1.5i−12ij−4j−32j2

Step-by-step explanation:

Part I. A New Bike and Skateboard Problem

Uncle Eddie asked McKenna and Lara to order 108 new wheels for the 42

skateboards and bicycles in his repair shop. How many bicycles and how

many skateboards are in Uncle Eddie's shop?

Answers

Answer:

Number of bicycles = 30

Number of skateboards = 12

Step-by-step explanation:

Let the number of bicycles = x

Let number of skateboards = y

It is given that there are total bicycles and skateboards = 42

∴ x + y = 42  ........(1)

Now a bicycle has two tires and a skateboard has four tires, this gives an equation :

2x + 4y = 108 .......(2)   (Since uncle Eddie asks to order 108 tires)

Therefore, solving equation (1) and (2), we get

2(x+y=42)

2x+4y=108

  2x+2y = 84

- (2x+4y = 108)  

      - 4 y = - 24

    or   4 y = 24

   or      y = 12

Now substituting the value of y in equation (1),

x + 12 = 42

x = 42 -12

x = 30

So number of bicycles = x =30

And number of skateboards = y = 12

A trampoline has a jumping surface that is 15.7 ft. long and 12 ft. wide. What is the area of the jumping surface?

Answers

Answer:

188.4

Step-by-step explanation:

because if you multiply 15.7 and 12 you get 188.4 and that is the area of the jumping space.

Answer:

area = length×wide=15.7×12=188.4ft²

Only 3% of turtle hatchlings will live to become breeding adults. How many turtles must have been born if the current number of breeding adults is 1,200?

Answers

Answer:

116400 I believe not 100% sure tho

The total number of turtles born is 40,000.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, only 3% of turtle hatchlings will live to become breeding adults.

The current number of breeding adults is 1,200

Let the total number of turtles born be t.

Now, 3% of t=1200

3/100 ×t=1200

3t=120000

t=40000

Therefore, the total number of turtles born is 40,000.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ3

Can someone help-
Im lazy lol
Ill mark brainliest c:

Answers

Answer:

c=34

Step-by-step explanation:

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

(16^2)+(30^2)=c^2

1156=c^2

[tex]\sqrt{1156}[/tex]=c

c=34

5. In the equation: A = 900(1.05) 10. What does 1.05 represent? **
O 0.05% decay.
O 0.05% growth
05% growth
O 5% decay.

Answers

Answer:

I think it should be C 05% growth

2. On the Internet, you find an Latin quiz with 10 matching vocabulary questions. Your 3 year old niece randomly matches the
words with the definitions. What is the probability that she makes 100 on the quiz?
Does the order matter? Yes -
This is a permutation
Will all of the words be matched? Yes -
Can we use factorials? Yes -
How many different ways can the answer key be arranged?
P(all correct)
(Enter your answer as a reduced fraction using/ for the fraction bar.)

Answers

Answer:

Assume that there is a Latin quiz with 10 matching vocabulary questions, and your niece try to match them randomly. Then, the probability that she gets the first item right is

1

10

since there is only one correct answer for this item out of 10 options. Now, the probability that she gets the second item right is

1

9

since there is only one correct option and there is only 9 options left to choose from. So, in a similar fashion, the probability that she will get the third item correct is

1

8

, the fourth item correct is

1

7

and so on. Therefore, the probability that she will match them all correctly (getting a 100 on the quiz) is equal to

1

10

1

9

1

2

1

1

=

1

10

!

=

1

3628800

If the length of a side of a square is increased from 4 to 8, which of the following statements is true?

A.) Both area and perimeter are doubled.
B.) Both the area and perimeter are quadrupled.
C.) The perimeter is doubled and the area is quadrupled.
D.) The perimeter is quadrupled and the area is doubled.

Answers

Answer:

C.) The perimeter is doubled and the area is quadrupled.

Step-by-step explanation:

Original square: side = 4

Area = side^2 = 4^2 = 16 square units

Perimeter = 4 * side = 4 * 4 = 16 units

Larger square: side = 8

Area = side^2 = 8^2 = 64 square units

Perimeter = 4 * side = 4 * 8 = 32 units

Comparison of areas:

(larger square area)/(original square area) = 64/16 = 4

Comparison of perimeters:

(larger square perimeter)/(original square perimeter) = 32/16 = 2

Answer:

C.) The perimeter is doubled and the area is quadrupled.

Find the value of x

X =

Enter the number that belongs in the green box.

Please helpp me

Answers

X= 37

The square root of 12^2 + 35^2= 37.
37 is the hypotenuse.

Answer:

37

p=12

b=35

h=x=?

using pythagoras theorem,

h=✓p^2+b^2

x=✓12^2+35^2

x=✓144+1225

x=✓1369

x=37

gamestop is losing value at 5% per day. if its 50 dollars per share to day, how much will it be worth at the end of the week

Answers

Answer:

GameStop will be worth $34.92 by the end of the week

Step-by-step explanation:

It's sad, but true lol

13. How can you use estimation to find
92 +92 +92 +92 +92?

Answers

Answer:

bye adding them in your head

expand 2x(3x+2y)
answer needed asap

Answers

Answer:

6x^2+4xy

Step-by-step explanation:

Hope that helps you out!

Answer:

Step-by-step explanation:

6x^2+4xy

Help quick it due! Please hurry lol

Answers

Answer:

4 km

Step-by-step explanation:

2/3(6) = 4 km

Urgent please help..

Answers

Answer:

0.39

Step-by-step explanation:

Height of triangle (h) = 2.5 + 4 = 6. 5 cm

Base of triangle (b) = 3 + 3 = 6 cm

Radius of circle (r) = 4 cm

Required probability = Area of triangle/Area of circle

[tex] = \frac{ \frac{1}{2} bh }{\pi {r}^{2} } \\ \\ = \frac{ \frac{1}{2} \times 6 \times 6.5 }{3.14 \times {4}^{2} } \\ \\ = \frac{3 \times 6.5}{3.14 \times 16} \\ \\ = \frac{19.5}{50.24} \\ \\ = 0.388136943 \\ \\ \approx0.39[/tex]

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