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

How many 1/4 unit cubes does it take to fill the prism?

Answers

Answer:

Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.

Step-by-step explanation: Furthermore, how many 1/4 unit cubes does it take to fill the prism? Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes. you welcome

How do you find exact values?

Answers

Answer:

Using trigonometric identities: A trigonometric identity is a relationship between trigonometric functions that we can use to find an exact value of a trigonmetric function.Using the unit circle: The unit circle is a circle with its center at the origin and a radius of 1 unit. If we place an angle, θ, with its initial side along the positive x-axis, then the point where the angle's terminal side intersects the unit circle is (cos(θ), sin(θ)).Using reference angles: Reference angles are the smallest angle that the terminal side of an angle makes with the x-axis. As it turns out, trigonometric functions of an angle and its reference angle have the same value, except that they may have different signs.

For example, suppose we want to find the exact value of tan(405°). First, we take a look at the angle 405° on a graph with the unit circle:

in this that the reference angle of 405° is 45°. We can use the fact that tangent is positive in the first quadrant and the rule for reference angles to deduce that tan(405°) = tan(45°). Then we can use the well-known fact that tan(45°) = 1 to get that tan(405°) = 1.

Step-by-step explanation:

PLS HELPP! :)

What is the radius with a circumference of 122 in?

Answers

Answer:

this is the answer r≈19.42in

because you radius with a circumference of 122in

and that's your answer

Step-by-step explanation:

hope it works

PLZZZ HELP FAST WILL GIVE BRAINLYEST!!!!!!!!!!!

how does changing the net force on an object change its acceleration????????????

Answers

Answer:

Changing the net force on an object can either impress on it even more force in the direction that it is moving, making it go faster, or if you apply more net force on the object against it, then it decreases acceleration

Step-by-step explanation:

help pls

. ________.

Answers

Answer:

#8)  x = 12

Step-by-step explanation:

vertical angles are congruent

5x + 10 = 70

5x = 60

x = 12

please help!
i will give brainilest.

Answers

28% out of 115 = 24.347826086957%

HELP, i’m struggling and i don’t understand this

Answers

Answer:

x=49°

Step-by-step explanation:

2x-8=90°

= 2x=98°

= x=49°

K is no greater then 9.

The lesson is Solving 2 step inequalities

Answers

But I am greater than 9

% of 75 is 25
% of 4 is 7
% of 15 is 6

Answers

of means multiply! so-

x * 75 = 25 x = 33.3%

x * 4 = 7 x = 175%

x * 15 = 6 x = 40%

Plz Help! NUmber 1 and 2! Brainlist for right answer!

Answers

Answer:

1 plain plain 2 ham chips

How do you solve for an area of a circle?

Answers

Answer:

Identify the radius of a circle. The radius is the length from the center of a circle to the edge of the circle. You can measure this in any direction and the radius will be the same. The radius is also one half of the diameter of a circle. The diameter is the line segment that passes through the center and connects opposite sides of the circle.[1]

The radius will generally be provided to you. It can be difficult to measure to the exact center of a circle, unless the center is already marked for you on a circle drawn on paper.

For this example, assume that you are told that the radius of a given circle is 6 cm.

well the formula for the area of a circle is A =[tex]\pi r^2[/tex]

r is for the radius

which is half the size or number of the diameter

so ex. lets say that the diameter of a circle is 10, so that makes the radius 5

A = [tex]\pi[/tex] [tex]5^2[/tex]

A = [tex]\pi * 25[/tex]

A = 78.54

Ta -Da!!

Note: sometimes is the test ask you to replace [tex]\pi[/tex] for 3.14, it would still work

If the function f has five distinct zeros, which of the following could represent the complete graph off in the xy-plane?

Answers

Answer:

The zeros of a function are the points where the graph of the function crosses the x-axis.

Clearly Graph in option D could be the function which has 5 zeroes as it passes through the axis at 5 points.

Step-by-step explanation:

The graph of the function will intersect the x-axis five times. Then the correct option is D.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

If the function f has five distinct zeros.

Then the graph represents the complete graph of the function in the xy-plane will be

We know that the zeroes of the function are the intersection points of the x-axis and the function.

That means the graph will intersect the x-axis five times.

Then the correct option is D.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Please help- pls pls

Answers

Answer:

45⁰

Step-by-step explanation:

use TanB=(3/3)

B=Tan-¹(3/3)

B=45⁰

Chloe compares the growth of plant species A and B. Part A What do the box plots tell you about the growth of a typical plant of each species? Choose the correct response. Plant B typically grows 1 cm taller than Plant A, since the range for Plant B is 1 cm greater. Plant B typically grows 1 cm taller than Plant A, since the IQR for Plant B is 1 cm greater. Plant A typically grows 1 cm taller than Plant B, since the median for Plant A is 1 cm greater. Plant A typically grows 1 cm taller than Plant B, since the mean for Plant A is 1 cm greater.

Answers

Answer:

Type A Type B

Median 52 grams 52 grams

Lower Quartile 49 grams 51 grams

Upper Quartile 57 grams 54 grams

Range 14 grams 8 grams

Interquartile Range 8 grams 3 grams

From this table we can see that both types of tomato have the same average mass because their medians are the same.

Comparing the medians and interquartile ranges shows that there is far more variation in the masses of the type A tomatoes, which means that the masses of type B are more consistent than those of type A.

However, comparing the two box and whisker plots, and the upper quartiles, shows that type A tomatoes will generally have a larger mass than those of type B.

Nevertheless, there will be some type A tomatoes that are lighter than any of type B.

Taking all this together, the gardener would be best advised to plant type A tomatoes in future as he is likely to get a better yield from them than from type B.

Step-by-step explanation:

Hi

What is the sum of k° + i°?

Answers

Answer:

we have:

k + 70° = 180°

=> k = 110°

u can see that i = 180°

=> k + i = 110° + 180° = 290°

Step-by-step explanation:

Find y when x = -3 for the following equation: y = 6x + 8 PLS HELP ASAP

Answers

Answer:

y= -10

Step-by-step explanation:

y=6(-3)+8

y=-18+8

y= -10

Can someone help me?! The picture is below you don’t have to explain if you don’t want to!!

Answers

Answer:

(a) 3:4

(b) 3:4

(c) 9:16

Step-by-step explanation:

(a) The ratio of the sides would be 15:20 but after you simplify them (divide by 5), you'd get 3:4

(b) The ratio of the perimeter would be 60:80 because you're multiplying each side length by 4. When you simplify this again (divide by 20), however, it becomes 3:4 again

(c) To find the area, you would multiply the width times height, the ratio would be 225:400. You would get the greatest common factor which is 25 and divide it on both sides to get 9:16

I think it’s 2 but just making sure

Answers

Answer:

You are correct the answer is 2

Answer:

yeah it should be 2

Step-by-step explanation:

A charity organization is collecting change to raise money. They have collected three times as many dimes as quarters, 11 more nickels than dimes, and 2 times as many pennies as nickels. Let x represent the number of quarters. Write an expression to represent the number of dimes. Write an expression to represent the number of nickels. Write an expression to represent the number of pennies. If they have collected a total of 4,453 coins, how many of each coin have they collected? Show your work.

Answers

Answer:

x = no. of quarters

3x = no. of dimes

3x + 11 = no. of nickels

2(3x + 11) = no. of pennies

340 quarters

1020 dimes

1031 nickels

2062 pennies

Step-by-step explanation:

x = no. of quarters

3x = no. of dimes

3x + 11 = no. of nickels

2(3x + 11) = no. of pennies

x + 3x + 3x + 11 + 2(3x + 11) = 4453

x + 3x + 3x + 11 + 6x + 22 = 4453

13x + 33 = 4453

13x = 4420

x = 340 quarters

3x = 1020 dimes

3x + 11 = 1031 nickels

2(3x + 11) = 2062 pennies

Check:  340 + 1020 + 1031 + 2062  = 4453

Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."

What is the approximate circumference of the Super Pizza? Use 3.14 for π. Show your work.



What is the approximate area of the Super Pizza? Use 3.14 for π. Show your work.

Please help and hurry!! Ty!!

Answers

Answer:

a) Circumference of the circle = 56.52 in

b) Area of the circle = 254.34 in²

Step-by-step explanation:

Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."

Note that:

Pizza is Circular in shape

a) What is the approximate circumference of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the circumference of a circle when given that diameter = πD

Where D = Diameter of the circle = 18 in

π = 3.14

Hence,

Circumference of the circle = 3.14 × 18 in

= 56.52 in

b) What is the approximate area of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the area of a circle = πr²

Radius = Diameter/2

Diameter = 18 in

Radius = 18 in/2 = 9 in

The area of the circle = 3.14 × 9²

= 254.34 in²


A rectangular prism has a width of 3 cm and a height of 8cm and a length of 9 cm. What is the surface area of the prism?

Answers

Answer:

A=246cm

Step-by-step explanation:

L= 9

W= 3

H= 8

2·(3·9+8·9+8·3)= 245

Formula= A=2(wl+hl+hw)

Mr Thompson, This is my homework! Please help.

Answers

Problem 1

ax^2+bx+c is standard form(x+p)(x+q) is factored form

There's not much to say about these. You'll just have to memorize the terms. Note with standard form that the exponents decrease as you move from left to right (2,1,0).

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

Problem 2

Other names for zeros are:

A) x interceptsD) solutions

The term "root" is also applicable here.

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

Problem 3

We set each piece equal to 0 and solve for x. This is the zero product property

f(x) = (x-2)(x+4)

0 = (x-2)(x+4)

(x-2)(x+4) = 0

x-2 = 0 or x+4 = 0

x = 2 or x = -4

The two x intercepts are located at (2,0) and (-4,0)

Answer: Choice C

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

Problem 4

In the last problem, we found the two roots were x = 2 and x = -4

I'll let p = 2 and q = -4.

Average the roots to get (p+q)/2 = (2+(-4))/2 = -2/2 = -1

This is the x coordinate of the vertex. So h = -1

Plug this into the function to find k, which is the y coordinate of the vertex.

k = f(h)

k = f(-1)

k = (-1-2)(-1+4)

k = (-3)(3)

k = -9

The vertex is located at (h,k) = (-1, -9)

This is another way of saying the vertex is when x = -1 and y = -9

Answer: Choice C

Find the area of the figure and type your result in the empty box. 4 cm 4 cm​

Answers

4 cm x 4 cm would make a 16 cm area
just multiply 4 and 4 together to get the answer!

16 cm area

please mark the brainliest!

How many parallel side and perpendicular side have a triangle

Answers

triangles do not have parallel lines, and usually the only triangle that has two perpendicular sides is the right angle triangle.



ANOTHER ONE!!! WHOEVER SLOVES THIS IS A LIFESAVER <3

Find the measures of the numbered angles in each kite.

Answers

Answer:

1. 70

2. 54

3. 54

4. 40

Step-by-step explanation:

the answers are 70 54 54 40!!!!

Abdullah and Kanna are working on the same problem.
A juice box has 20% more juice in its new packaging.
The original packaging held 12 fluid ounces. How
much juice does the new packaging hold?
Whose double number line is correct?EXPLAIN YOUR THINKING!!!!!!!

Answers

Answer:

Abdullah is correct.

Step-by-step explanation:

The bottle contained originally 12 fl oz, so 12 fl oz is 100%.

The box now contains 20% more, so now it contains 120% of 12 fl oz.

120% * 12 fl oz = 1.2 * 12 fl oz = 14.4 fl oz

Also, 20% is 1/5. Abdullah divided 12 oz into 5 equal parts, and then he added one more 1/5. He interpreted the problem correctly. The amount in the new bottle is the amount of the old bottle plus 20% of that old amount.

Kanna considers the original amount to be 80%. When he adds another 20%, he is adding 1/4 of 12 which is too much. That is why he gets an incorrect answer that is to high. He interpreted the problem incorrectly. For him, the old bottle has 20% less than the new bottle. That is incorrect.

Abdullah is correct.

at a school 111 students play at least one sport this is 30% of the students at the school how many students are at the school​

Answers

Mark as Branliest if you like the answer and want to be ansewered frequently within no time

40 POINTS. When they form conical piles, granular materials such as salt, gravel, and sand settle at different "angles of repose," depending on the shapes of the grains. One particular 13-foot tall cone of dry sand has a base diameter of 38.6 fee
To the nearest tenth of a degree, what is the angle of repose of this type of dry sand?

A different conical pile of the same type of sand is 10 feet tall. What is the diameter of the cone's base?

Henley Landscaping Supply sells a type of sand with a 30° angle of repose for $32 per cubic yard. Find the cost of an 11-foot-tall cone of this type of sand. Show your work.

Answers

Answer:

34.0 degrees, 29.6 feet in Diameter.

This is a right triangle trigonometry question.

Use half of the diameter to form the base of the triangle (19.3 ft) with a height 0f 13.

Use Inverse Tangent function to find the angle of repose

round to 34.0

then use the angle of repose to solve trigonometric function of the tangent for the radius of the other cone.

switch denominator and tangent

multiply by 2 to get diameter of second cone

14.82*2≈29.6

hopefully this helps!

Each employee in a company is either right-handed or left-handed.

32 of the 54 employees are female.

18 of the 41 right-handed employees are male.

Complete the frequency tree for this information.

right-handed

32

left-handed

female

54

18

right-handed

left-handed

male

Total marks: 3

Answers

Answer:

Right handed 41

Right handed male 18

Right handed female 23

Male employees 22

Female employees 32

Left handed 13

Left handed male 4

Left handed female 9

help please, what’s the answer to this?

Answers

The answer is c , c yea
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