Mathematics High School

factorise fully (a+b)²-c² ​

Answers

Answer 1

Answer:

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

Step-by-step explanation:

(a + b)² - c² ← is a difference of squares and factors in general as

x² - y² = (x + y)(x - y)

Here x = a + b and y = c , then

(a + b)² - c²

= (a + b + c)(a + b - c)

Answer 2

Answer:

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

Related Questions

What is angle 1 and 5

Answers

Answer:

Step-by-step explanation:

Remark

This may be a little late, but it is well worth finding all the answers. It is a perfect test question.

You should solve the angles in this order 2 5 1 4 3. This is not the only order you could use.

Angle 2

<180 = <2 + 148                     <2 and 148 are supplementary

<180- 148 = <2

<2 = 32

Angle 5

1) All triangles have 180 degrees.

2) Diagonal bisect each other and are equal.

3) The two sides (one of which is opposite angle 5 are equal.

x + x + 148 = 180            All triangles have 180 degrees

                                      All rectangles have diagonals that are bisected and the bisected parts are equal.

2x + 148 = 180                 Subtract 148

2x = 180 - 148

2x = 32                            Divide by 2

x = 32/2

x = 16

But x is really <5

<5 = 16

Angle 1

<1 = <5 by the z property of angles associated with parallel lines.

Angle 4

Angle 4 and <5 are Complementary. They  make up 90 degrees.

Angle 3

<2 + the two base angles in the triangle = 180 degrees

The two base angles are equal. Call them x.

x + x + 32 = 180

2x + 32 = 180                     Subtract 32 from both sides

2x = 180-32

2x = 148                              Divide by 2

x = 148/2

x = 74

<3 = 72

The measure of angle t is 60 degrees. What is the x-coordinate of the point where the terminal side intersects the unit circle? ​

Answers

angle t would be equal to cos(60 degrees) which has coordinates (1/2,sqrt3/2) so that answer is 1/2

i needd helppp asap

Answers

Answer:

70, 110, 110, 70

Step-by-step explanation:

top left- 70, top right-110, bottom left-110, bottom right-70

5692 in standard form

Answers

Answer:

5.692 × 103.

Step-by-step explanation:

Answer:

5.692 × 10^3

Step-by-step explanation:

hope it helps you

In 1992 a gigabyte cost $3000. In 2012 the gigabyte price decreased by 97%. What was the cost of a gigabyte in 2012

Answers

The cost of a gigabyte in 2012 was $80 hope this helps

1/5+2/5 what’s the answer?

Answers

The answer would be 3/5

Answer:

3/5

Step-by-step explanation:

First: you rewrite 5 then you sum up 1+2

is the discriminant of f positive , zero , or negative ​

Answers

Answer:

Negative because there's no x-intercepts!

Hope this helps!

3x = 21 What is the value of x?

Answers

3x = 21
devide each side by 3

3x = 21
----- ----
3. َ ّ ُّ. 3


x = 7

Use the FOIL method to check your answer from part A.

Answers

First = x^2

Inner = -5x

Outer = +8x

Last = -40

It is correct!

Help I will give brainlist and 30 points

Answers

Answer: the 3rd one is the only true one because there are 7 boys and 2 girls

The answer is the third one. The ratio is 7:2, so there’s 7 boys for every 2 girls.

3kg of apples and 8kg of grapes costs €7.60 in total 5kg of apples and 3kg of grapes costs €7.50in total work out the costs of a kg of each type of fruit​

Answers

Answer:

1kg of apple : €0.50

1kgof grapes : €1.20

Step-by-step explanation:

15kg of apples and 40kg of grapes costs €38

15kg of apples and 9kg of grapes costs €22.50

38 - 22.50 = 15.5

40 - 9 = 31

15.5 ÷ 31 = 0.5 ( 1kg of grapes )

0.5 × 3 = 1.5

7.5 - 1.5 = 6

6 ÷ 5 = 1.2 ( 1kg of apples )

Can I get some help here please?

Answers

Answer:

The answer is C.

Step-by-step explanation:

As you can see, the line clearly intercepts at the line 0,4.

I really hope this helps!!! Please mark me brainliest!

help 6x+6y=-6
x=-5y-13

Answers

Answer:

what do you need help on?

Step-by-step explanation:

is anyone able to help me with this?

Answers

I am able to help you but not give you the answer.

Step By Step Explanation- Find the Area to the Triangle, After you find the answer to that, Find the area to the square then subtract the Square by the triangle and you get your answer!

Answer:

Step-by-step explanation:

Use the area formulas to help.

Area of a triangle = 1/2bh

Area of a rectangle = lw

Area of the triangle:

6*5 =30 yds

30*0.5= 15 yds

Area of the rectangle:

7*12=84 yds

Area of the shaded region:

84-15=69 yds

Which equation matches the graph? points. (-5,1) (0,-3)
a. y= -4/5x-3
b. y= -5/4x-3
c. y=-4/5x+3
d. y= -5/4x+3

Answers

Answer:

-4/5x-3

Step-by-step explanation:

We can eliminate the options C and D as they have a +3 which means they would start at (0,3).

y=-4/5x-3

y=-4/5(-5)-3

y=4-3

y=1

same thing from last question

1=-4/5x-3

+3 to both sides

4=-4/5x

*5/4 to get 1x

5=-x

*-1 to get positive x

-5=x

which proves my answer as correct

HELP QUICK! Can someone please explain this and show your work please!

Answers

Answer:

x > -2

Step-by-step explanation:

[tex]-\frac{x}{2} + \frac{3}{2} < \frac{5}{2} \\-\frac{x}{2} < \frac{2}{2} \\-\frac{x}{2} < 1\\-x < 2\\-\frac{x}{-1} < \frac{2}{-1} \\x > -2[/tex]

See picture of graphed number line below:

v list of answers
4in
8in
32in
16in

Answers

好吧，我不會說英語，但會說普通話，如果我不知道那會是8

If you spin the spinner 75 times how many 2s would you get?

Answers

Answer:

If the numbers went from 1-5 then maybe 15 at least I think or more. I don't know it is a prediction.

Step-by-step explanation:

There is a box of chocolates and one person easts one-fourth of the pieces and another person eats one-half
of the remaining pieces. If there are now six pieces left, then how many pieces were originally in the box?

Answers

Answer:

16 - Original number of chocolates in the box.

Step-by-step explanation:

C = 6 / (3/8) =6 x (8/3) =48 / 3 = 16

Use the GCF to factor the expression 40x+24y-56.

Answers

Answer: 8

Step-by-step explanation:

Nancy had 6 feet of ribbon she will use to make gift wrapping bows. She needs 1/3 of a foot to make a gift wrapping bow. How many gift wrapping bows can Nancy make? 9 bows 12 bows 18 bows 24 bows

Answers

Answer: WHATS THE ANSWER???!?!

Step-by-step explanation:

Answer:

thanks for the free points. btw it is 18

Step-by-step explanation:

Match each percent amount to its correct value.

Answers

Answer:

13 = 30% of 45

4.5 = 15% of 30

4.6 =  23% of 20

4.2 = 60% of 7

which type of dilation are the given scale factor scale factor negative 5/4 3/8 -1.2 0.5 expansion or contraction ​

Answers

Answer:

It's expansion.

Step-by-step explanation:

Answer:

Scale factor of k results in expansion if:

| k | > 1

and the contraction if:

| k | < 1

Given values:

-5/4        ⇒ expansion3/8          ⇒ contraction-1.2          ⇒ expansion0.5           ⇒ contraction

WILL GIVE BRAINLIEST please help

Answers

Answer:

First bullet point

Step-by-step explanation:

Answer: The first option (A)

Step-by-step explanation:

i did the math just plug in the numbers for x.

hope this helps pls mark me brainliest

Let b= 7.
3b+-4


Please help

Answers

3b+-4
3(7)+-4
21+-4
=17
Hope this helps have a nice day! ;$

Answer:

b=40/63

Step-by-step explanation:

b= 7. 3b+-4

multiply both sides by 10

b*10=7.3b*10-4*10

refine

b*10=7.3b-40

subtract 7.3b from both sides

b*10-7.3b=7.3b-40-7.3b

simplify

-63b=-40

divide both sides by -63

-63b/-63=-40/-63

simplify

b=40/63

sorry for the lengthy explanation

hope this helps :) have a nice day !! (please let me know if this was wrong)

can someone help me im stuck

Answers

Answer:

(3). 500; (4) 60

Step-by-step explanation:

K - 5 = 12. Solve the equation

Answers

Answer:

17 = K

Step-by-step explanation:

Add 5 to both sides to get K = 17

pls help me with #9 :)

Answers

Answer:

94°

Step-by-step explanation:

it is a similar triangle and corresponding angles of similar triangles are equal. and interior angles of triangles always equal to 180°

Answer:

A- 94

Step-by-step explanation:

p= 32

k= 54

m= 180 - (32+54) = 94

angle  m ~ angle j

Angle j = 94

I hope im right!!

The given point 1, -3 reflected over the x axis

Answers

Answer:

(1,3)

Step-by-step explanation:

The image of (1, -3) is (1, 3).

What is a reflection?

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

Point = (1. -3)

Reflected over the x-axis.

So,

(1, -3) = (1, -(-3)) = (1, 3)

Thus,

(1, 3) is the reflected image.

Learn more about reflections here:

https://brainly.com/question/12463306

#SPJ2

NEED HELP PLEASE ONLY GOT 20 min

Answers

Step-by-step explanation:

i need the question

for the excellent

answer

54, 45,90, 45, 45, 45
Other Questions
If a regular decagon has a side length of 6 inches, what is the area of the polygon? I looked down at Mitchell and stopped, knowing that despite our understanding, he was itching for a fight with me. Now, I dont know what possessed me in that moment to say the next thing I did. Maybe I was feeling guilty that because I was my daddys son, I could ride Ghost Wind. Maybe it was that, but it wasnt out of fear I said what I said. I no longer was afraid of Mitchell. You want to ride him? I asked.Mitchell took a step backward. It was obvious he hadnt expected me to say that. You know I cant ride him, he said. Your white daddyd kill me.You want to ride him? I asked again.Mitchell looked at the stallion, then at me. So, what if I do?The Land,Mildred D. TaylorUse the drop-down menus to answer the questions.What does Paul say likely motivates him to let Mitchell ride Ghost Wind?Is Pauls motivation intrinsic or extrinsic? :) HAVE A GOOD WEEKEND Find the area of a semi circle if the diameter is 3m Need help ASAP questions in the pics i have sent What cultural differences exist between Nene and Nnaemeka? How do these differences influence the perspective of each character? Is value of X in the equation 6x+3+4x= 1/2(9+10x) What is the area? of this During your presentation, you realize that you are talking too fast. This is aproblem ofO Content challengesOrganizational challengesPresentation skills challenges JUST REPOSTING THIS QUESTION UNTIL I GET A CORRECT ANSWER lol! Help plssssssss- Sorry its kinda a bad photo The measure of an angle is nine times the measure of its supplementary angle. What is the measure of each angle? Which is true about relative dating?Potassium Argon dating is used on very old rocks and minerals.Carbon-14 dating is used on rocks and minerals that are relatively youngRelative dating uses the half-life of isotopes to get the exact age of a rock or mineralThe law of superposition is used to determine a rocks relative age. What are your favorite hobbies? In Spanish, say five things you like to do. Use complete sentences. How does native Americans access to their cultures on reservations today compare to the past? Kenneth Drew a scale drawing of an apartment the scale of the drawing was 2 meters:1 meter the living room is 6 m long in real life how long is the living room in drawing What is produced by fertilization?Haploid, Diploid or both number of chromosomes raise c to the 8th power! Roberto is dividing his baseball cards equally between himself, his brother, and his 3 friends. Roberto was left with 9 cards. How many cards did Roberto give away? Write and solve an equation to solve the problem.PLZZZ HELP MEE ILL GIVE BRAINLIEST AND 50 POINTS!!! the graph of which function will contain the point(2,10)