Factor ab + bc + b2 + ac.

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

Answers

Answer 1

Answer:

It is (a + b)(b + c)

Step-by-step explanation:

[tex]ab + bc + {b}^{2} + ac[/tex]

arrange the function:

[tex] = (ab + ac) + ( {b}^{2} + bc)[/tex]

factorise out common terms [ a and b ]:

[tex] = a(b + c) + b(b + c)[/tex]

form a bracket of factors:

[tex] = (a + b)(b + c)[/tex]


Related Questions

if length of each side of square is 7 m find it's area and perimeter​

Answers

Answer:

Area is 49

Step-by-step explanation:

[tex]area = (side \times side)[/tex]

since all sides are equal, side = 7 m

[tex]a = (7 \times 7) \: {m}^{2} \\ a = 49 \: {m}^{2} [/tex]

A human hair is approximately 59 µm in diameter.
Express this diameter in meters.
Answer in units of m.

Answers

Answer:

59000.000 nanometres

Answer:

59μm

Please give branliest

Step-by-step explanation:

1e-6m=1μm

5.9e-5m=59μm

friends??
disc; misti.#7628
tt; mistis.wishes

Answers

Wait I’m confused !!!!!!

Let w 1-5 and z=2+ 4i, Find z+w

Answers

Step-by-step explanation:

w+z=1-5+2+4¡

w+z=-2+4¡

and if you mean w= 1-5¡ , z= 2+4¡

z+w= 1-5¡+2+4¡

z+w= 3-¡

GIVING BRAINLIEST IF CORRECT!! EASY MATH!!!

Answers

Answer:

Reflecting across the x-axis looks like this: -g(x)

A negative on the outside of the function.

So your answer may be

-|x|

It should just be - lxl

A polygon which is regular has interior angles measuring 150°. This polygon is called a:​

Answers

Answer:

Step-by-step explanation:

equilateral triangle

Answer:

Dodecagon (12 - sided polygon)

Step-by-step explanation:

Let it be n- sided polygon.

Sum of interior angles is 150n.

On the other hand we know the sum of interior angles of a regular n - sided polygon is calculated using the following formula:

S = 180(n - 2)

Compare the sums and solve for n:

180(n - 2) = 150n180n - 360 = 150n180n - 150n = 36030n = 360n = 360/30n = 12

12-sided polygon is called dodecagon

Need help on aleks knowledge check, due rlly soon thank you

Answers

Answer:

a) y = [tex]\frac{1}{2} x[/tex]

b) y = [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

I. If y = 9 and x = 18

  so x is double value of y or y * 2

  y will be half of x value

 that makes y = [tex]\frac{1}{2}[/tex] x

II. If x = 5, replace x with 5

    y = [tex]\frac{1}{2}[/tex] (5)

    y = [tex]\frac{5}{2}[/tex]

Answer:

(a).

[tex]{ \boxed{ \sf{y = \frac{1}{2}x }}}[/tex]

b).

[tex]{ \boxed { \sf{y = \frac{5}{2} }}}[/tex]

Step-by-step explanation:

explanation for (a):

[tex]{ \sf{y \: \alpha \: x}} \\ { \sf{y = kx}} [/tex]

when y is 9, x is 18

[tex]{ \sf{9 = (k \times 18)}} \\ { \sf{k = \frac{1}{2} }}[/tex]

therefore equation is:

[tex]{ \sf{y = \frac{1}{2}x }}[/tex]

explanation for (b):

when x is 5:

[tex]{ \sf{y = \frac{1}{2}x }} \\ \\ { \sf{y = \frac{1}{2} \times 5}} \\ \\ { \sf{y = \frac{5}{2} }}[/tex]

10-7X-5+12x=0

Explain

Answers

10-7x-5+12x=0 Combine like terms
10-5 is 5 and -7x+12x is 5x so that makes
5x+5=0 Subtract 5 from both sides
5x=-5 Divide both sides by 5
x=-1

Answer:

x = -1

Step-by-step explanation:

[tex]10 - 7x - 5 + 12x = 0[/tex]

➡️ [tex]5 - 7x + 12x = 0[/tex]

➡️ [tex]5 + 5x = 0[/tex]

➡️ [tex]5 + 5x - 5 = 0 - 5[/tex]

➡️ [tex]5x = 0 - 5[/tex]

➡️ [tex]5x = - 5[/tex]

➡️ [tex]5x \div 5 = - 5 \div 5[/tex]

➡️ [tex]x = - 5 \div 5[/tex]

➡️ [tex]x = - 1[/tex]

Solve for x and z (and find the total or a fraction or root of the equation)

4+x-3z*(7+3+6)=?

Answers

Answer:

Step-by-step explanation:

4+x-3*z(7+3+6)

4+x-3*z*16

4+x-3*16z

4+x-48z

x-48z+4

Four times the sum of three and a number

Answers

Answer:

4*3+X

IGNORE THIS JWINFWONDIWJFIENFIWKQPXK

-5.025, -square root of 25, -5 1/2, -11/2 least you greatest

Answers

answer =-51/2,-11/2,-5.025,-✓25

-✓25=-5

-11/2=-5.5

-51/2=-25.5

-5.025

I’m struggling.help please.

Answers

Answer:

21,23,25,27,29... and etc

Step-by-step explanation:

13,15,17,19, your going by 2, so.. 21,23,25,27,29. and counties. I don't know how long it goes but there you go hopefully this helps <3.

Answer:

2n + 11

Step-by-step explanation:

2(1) + 11 = 13

2(2) + 11 = 15

2(3) + 11 = 17

the 2 is the constant difference between the first 2 terms.

the numbers in brackets are the term number.

you have to multiply the difference with the term number.

then you will have to take that answer and subtract it from the first term number.

hope it helps xxx

can someone help me plz

Answers

Answer:

The length is from -5 to +7, so the length answer is 12, The midpoint would be that divided by 2, so six.

Step-by-step explanation:

Answer:

Length = 12

Midpoint = 1

Step-by-step explanation:

to find the length u cancount from left to right of the segment and u can see that it is 12 units long. To find the mid point just take half of the the length, which is 6, and count that many units from either side of the segment. you'll stop at 1 do that is the mid point of the graph.

describe the defferences between hexagonal prism and an octagonal prism​

Answers

20+23-56/90+789/90(333)09/77

Which equation is equivalent to the given equation? x^2 - 10x = 14​

Answers

Answer:

(x - 5)² = 39

Step-by-step explanation:

Given

x² - 10x = 14

To obtain an equivalent equation use the method of completing the square.

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 5)x + 25 = 14 + 25

(x - 5)² = 39

I believe that the answer you are looking for is (x-5)²-39, if you use the completing the square method.

Solution:

x²-10x=14

Transferring 14 from the right side to the left side,

x²-10-14=0

Squaring the equation,

(x-5)²-39, or (x-5)²=39 (Depends on how you prefer to write it).

So, that is the final answer. I hope this helped. If you have any questions about the answer, please let me know. Enjoy your day and take care!

Five times the sum of a number and 7 is 8

Answers

Answer:

(x + 7) 5 = 8

Step-by-step explanation:

A number = x

Sum = addition

(x + 7)

Five times would be

(x + 7) 5

And if equivalent to 8 then…

(x + 7) 5 = 8

Why is it helpful to use a problem-solving plan to solve problems?

Answers

Answer:

its helpful to plan out what youre going to do before you do it, as it can get confusing and you may get lost in the process if you dive right into it

12 less than 10 times a number x

Answers

Step-by-step explanation:

10x-12 is the equation form

Help me plessss!!

Brainliest to the best answer

If you can with procedimento that i understand how to do that

Answers

Answer:

[tex] \frac{r}{2} + ( \frac{7}{8} - s) \\ r = 1 \\ s = \frac{1}{2} \\ then \\ \frac{1}{2} + ( \frac{7}{8} - \frac{1}{2} ) \\ = \frac{1}{2} + \frac{3}{8} \\ = \frac{7}{8} \\ thank \: you[/tex]

please help ill mark brainliest

Answers

Answer:

AED = 136

Step-by-step explanation:

plz mark me as a brainlist


Seven of the algebra classes at a school have 23 students each. The eighth class has 25
students. What is the total number of students?

Answers

Answer: 186 students

Step-by-step explanation:

7x23+25= 186

2(x+1) = -8x +8(x-2)
x=?
4(7+2x)=-2(x+4)+4x
x=?

Answers

Hi ;-)

Equation 1°

[tex]2(x+1)=-8x+8(x-2)\\\\2x+2=-8x+8x-16\\\\2x+8x-8x=-16-2\\\\2x=-18 \ \ /:2\\\\\huge\boxed{x=-9}[/tex]

Equation 2°

[tex]4(7+2x)=-2(x+4)+4x\\\\28+8x=-2x-8+4x\\\\8x+2x-4x=-8-28\\\\6x=-36 \ \ /:6\\\\\huge\boxed{x=-6}[/tex]

Convert 402.12 to a fraction

Answers

Answer:

40212/100

Step-by-step explanation:

To write 402.12 as a fraction you have to write 402.12 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

402.12 = 402.12/1 = 4021.2/10 = 40212/100

And finally we have:

402.12 as a fraction equals 40212/100

answer:

[tex]\frac{10053}{25}[/tex]

first, you would convert 402.12 to a mixed number by placing the numbers to the right of the decimal over 100. and then reduce the fraction.

you would get [tex]402\frac{3}{25}[/tex]

convert the mixed number to an improper fraction:

25×402+3=10053

and lastly, place your new numerator over the original denominator:

[tex]\frac{10053}{25}[/tex]

Rey grew a tomato plant from seed. He measured its height
during the month of June. How much did it grow between
June 21 and June 28?

5 cm?
4 cm?
3 cm?

Answers

Answer:

3 cm

Step-by-step explanation:

3.
Find the number of real number solutions for the equation. x2 – 3x + 8 = 0

A. cannot be determined
B. 1
C. 2
D. 0

Answers

One

Is it 2x-3x+8=0,right?

Answer:

D. 0

Step-by-step explanation:

the answer to the equation is 0

3.  

Find the number of real number solutions for the equation. x2 – 3x + 8 = 0

cannot be determined

1

2

0

Which graph represents a line with a slope of -1/2 and a y-intercept equal to that of the line y =2/3x – 2?

Answers

Step-by-step explanation:

I guess option 4 is the correct answer.

16 The cost for parking at a city airport is shown in the table.
Price for first day
$16.60
For every
2
day afterwards
$9
Yuri pays $124.60 to park his car.
How many days does he park his car for?
Show your working.

Answers

Answer:

He paid $9 twelve times

12× 2= 24 days

Step-by-step explanation:

1st day = $16.60

3rd day=$ 9 (i.e for every 2days afterwards)

5th day=$ 9

Yuri pays : 124.60

124.60-16.60

= $108.00

After paying the first day he paid 108.00

108.00÷ 9 = 12

He paid $9 twelve times

12× 2= 24 days

What is the value of X?​

Answers

Answer:

5 * sqrt(3)

Step-by-step explanation:

The sine of 60 degrees is equal to x/10 because x is opposite to it and 10 is the hypotenuse. Since the sine of 60 degrees is equal to sqrt(3)/2, sqrt(3)/2 = x/10. Because 5sqrt(3)/10 = sqrt(3)/2, 5sqrt(3)/10 = x/10 and therefore 5sqrt(3) = x.

The answer would be 5 and something to help you when doing these questions is using sin tan cos. If you search it up it shows which one to use when it comes to equations like this. And when you find it you enter it in your calculator. Since you need the opposite your gonna use COS. Cos(60) = 10 and then your gonna put an x under cos(60) as if it was a fraction and do cross multiply. And that’s how you will get 5.

the horizontal position of a point

Answers

Ansienidq

scsunacu

Step-by-step explanation:

Compare negative square root of 7 and -3.12345

Answers

Answer: Square root of negative 7 is greater than -3.12345

Step-by-step explanation: Since the square root of -7= 2.64575131 i (A positive number) Then it's greater, since the positive number is always greater than the negative numbers, because the negative numbers are further below zero than the positive number, if there is a number below the zero and a number above the zero, the one above the zero is greater,  because it's a positive number, the one below 0 is negative.

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