show that (4p^2-3q)^2+48p^2q =(4p^2+3q^2)​

Answers

Answer 1

Given:

The statement is

[tex](4p^2-3q)^2+48p^2q=(4p^2+3q^2)[/tex]

To prove:

The given statement.

Solution:

We have,

[tex](4p^2-3q)^2+48p^2q=(4p^2+3q^2)[/tex]

Now,

[tex]LHS=(4p^2-3q)^2+48p^2q[/tex]

Using [tex](a-b)^2=a^2+b^2-2ab[/tex], we get

[tex]LHS=(4p^2)^2+(3q)^2-2(4p^2)(3q)+48p^2q[/tex]

[tex]LHS=(4p^2)^2+(3q)^2-24p^2q+48p^2q[/tex]

[tex]LHS=(4p^2)^2+(3q)^2+24p^2q[/tex]

It can be rewritten as

[tex]LHS=(4p^2)^2+(3q)^2+2(4p^2)(3q)[/tex]

Using [tex](a+b)^2=a^2+b^2+2ab[/tex], we get

[tex]LHS=(4p^2+3q^2)[/tex]

[tex]LHS=RHS[/tex]

Hence proved.


Related Questions

God i don't understand this at all dkfjdfkgh thanks if you help, not really sure how brainly works

Answers

Answer:

Step-by-step explanation:

Spas

Answer:

17

Step-by-step explanation:

A tree's shadow is 4.8 meters long on level ground, as shown. The angle of elevation from the tip of the shadow to the sun is 50°. Based on this information, what is the approximate height of the tree? Write a trig equation, show your work and pick your answer. A. 3.1 m B. 3.6 m C. 5.7 m D. 7.5 m

Answers

The height of the tree is 5.7m

What is angled of elevation?

Angle of elevation is the angle between the horizontal line and the line  of sight.

Analysis:

The height of the tree and the tree's shadow form a right angle triangle with the line of sight.

let the height of tree be h

tan 50 = h/4.8

h = 4.8 x tan 50

h = 4.8 x 1.191 = 5.7m

In conclusion, the height of the tree is 5.7m

Learn more about angle of elevation: brainly.com/question/88158

#SPJ2

choose the correct answers !!!!!!!!!! Will mark Brianliest !!!!!!!!!! Please helppp !!!!!!!!!!!!!!!!

Answers

Answer:

non the avibe

Step-by-step explanation:

xu x6y8z9vtgkxih 174374t6fivH tin s6d

Answer:

1,3, and 4

Step-by-step explanation:

A child’s swimming pool. The pool is six feet wide. How much water is required to fill the pool to a depth of six inches?

Answers

Answer:

36 inches?

Step-by-step explanation:

6 feet x 6 inches in depth = 36 inches?

6 feet by 6 inches in depth

PLS HELP I HAVE TO DO GYM OR I WILL GET A BAD GRADE HELP I NEED THIS DONE

Answers

Answer:

1. Yes, 34+12=46

2.No, 22-9=13

3. Yes, 6*9=54

4. Yes, 39/3=13

5. k=4 7+4=11

6. p=37 37+24=13

7. h=23 23+16=7

8. m=13/30 2/5+13/30=5/6

9. w+15=190 w=175

i hope this helps:)

SOMEONE PLEASE HELP IM CONFUSED. FRACTIONSSSS

Answers

where is the picture so we can help you luv.

I need help is with exponent solving

Answers

Answer:

5) = 3/4

12) = 1

Step-by-step explanation:

5)=3/4
12)=1
That’s your answer!

Isaac wants to earn $450 interest
so he will have enough to buy a
new computer. He puts $1000 into
an account and earns 4.5%
interest. How many years will he
need to leave his money in the
account to earn $450 in interest?

Answers

Isaac would have to leave his money in the account for 10 years to reach 450$ in interest
So the answer is 10 years

What fraction of 250 gallons is 144 L? Give your answer in simplest form. 1 gallon = 45L.
HELP URGENT FUE IN 10 mins

Answers

Answer:

0.0128

Step-by-step explanation:

Given that: 1 gallon = 45 L

Then,

x gallons = 144 L

So that,

x gallons = [tex]\frac{144}{45}[/tex]

               = 3.2

i.e 3.2 gallons = 144 L.

The fraction of 250 gallons that is 144 L can be determined as;

The fraction = [tex]\frac{3.2}{250}[/tex]

                    = [tex]\frac{8}{625}[/tex]

                    = 0.0128

The fraction of 250 gallons that is 144 L is 0.0128.

Check: 250 gallons = 250 x 45

                                 = 11250 L

Fraction required = [tex]\frac{144}{11250}[/tex]

                             = 0.0128

find 5 points using this equation. Thanks !​

Answers

A simple way to find points is plugging numbers into x and getting y. For example:

                                               y = -9/5(5) - 9

                                               y = -9        - 9

                                               y = -18

So, your points for this example would be (5, -18)

Also, I know this isn't on the graph, but finding 5 points on this aren't always exactly on the point, but here are five points anyway:

(0, -9), (-5, 0), (-10, 9), (-1, -7.2), and (2, -12.6).  

help i don’t understand

Answers

Answer:

12

Step-by-step explanation:

In the problem it shows that A and D are equal so do 5y=60 then solve and you get 12

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Congruency of triangles.

Since here both triangles are given congruent.

Simply, equate their angles,

===> 5y = 60

===> y = 12 °

hence the value of y is 12°

A researcher observes and records the height of a weight moving up and down on the end of a spring. At the beginning of the observation the weight was at its highest point. From its resting position, it takes 20 seconds for the weight to reach its highest position, fall to its lowest position, and return to its resting position. The difference between the lowest and the highest points is 6 in. Assume the resting position is at y = 0.

Answers

Do you not click on the website

Question 17 of 20
Which of the following is a true statement about functions?

Answers

Answer:

D

Step-by-step explanation:

(f of g)(x), the composition of the function f with g is defined as follows: (f g)(x). = f(g(x))

A local restaurant claims that it gets 45 percent of its customers from Monday through Thursday, 20 percent on Friday, 20 percent on Saturday, and 15 percent on Sunday. How many degrees of freedom should be used to conduct a chi-square goodness-of-fit test of the claim?

Answers

Answer:

3

Step-by-step explanation:

Answer:

A: 3

Step-by-step explanation:

what are 12.95 mins 15.98

Answers

Answer:

-3.03

Step-by-step explanation:

12.95 - 15.98 = -3.03

Hope that helps!

Answer: 3.03

Step-by-step explanation:

I did it on a regular calculator if you need to do something like this again.

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Please give me Brainliest

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=64°, and RS = 16 feet. Find the length of QR to the nearest tenth of a foot.

Answers

Answer:

17.8

Step-by-step explanation:

inQ=

hypotenuse

opposite

=

x

16

\sin 64=\frac{16}{x}

sin64=

x

16

x\sin 64=16

xsin64=16

Cross multiply.

\frac{x\sin 64}{\sin 64}=\frac{16}{\sin 64}

sin64

xsin64

=

sin64

16

Divide each side by sin 64.

x=\frac{16}{\sin 64}=17.8016\approx 17.8\text{ feet}

x=

sin64

16

=17.8016≈17.8 feet

Answer:

17.8

Step-by-step explanation:

Emma bought 2kg of fruit. 25% of the weight was pineapple. 10% of the weight was bananas. The rest was apples. How many grams of apples than bananas did emma buy?

Answers

Answer:

1.1kg

Step-by-step explanation:

weight of fruit = 2kg

percentage of weight of fruit = 100%

percentage of weight of pineapple = 25%

weight of pineapple = 25/100 ×2

= 0.5kg

percentage of weight of bananas = 10%

weight of bananas = 10/100 × 2

= 0.2kg

weight of apples = weight of fruit - ( weight of pineapple + weight of bananas)

= 2kg -(0.5 + 0.2)kg

= 2kg -0.7kg

= 1.3kg

The weight of apples than bananas emma bought was =1.3kg-0.2kg

=1.1kg

therefore emma bought 1.1kg of apples than bananas.

Given the equation: y = 3x + 5, what is the value of ‘y’ when x = 4?

Answers

Answer:

17

Step-by-step explanation:

Input x=4 into the equation

y= 3(4)+5

y= 12+5

y=17

Answer:

y=17

Step-by-step explanation:

if x=4,

y=3(4)+5

y=12+5

y=17

(picture is sideways)

what is the measurement of angle U

what is the measurement of angle B

what is the measurement of angle Q

Answers

Answer:

U=80

B=44

Q=93

Step-by-step explanation:

U:180=U+37+63

180=U+100

180-100=U+100-100

80=U

B:180=B+90+46

180=B+136

180-136=B+136-136

44=B

Q:180=Q+36+51

180=Q+87

180-87=Q+87-87

93=Q

NEED HELP ASAP The measures of three line segments are given in each set. Which set of line segments cannot form a triangle? A) 28.6 m, 36.2 m, 65.5 m B) 54.3 m, 55.2 m, 56.1 m C) 15.6 m, 35.8 m, 47.2 m D) 44.8 m, 54.7 m, 84.3 m

Answers

Answer:

A

Step-by-step explanation:

because the sum of the two smaller sides has to be greater than the longer (3rd)side.

28.6 + 36.2= 64.8 < 65.5

A

28.6 + 36.2= 64.8 < 65.5

i have 8 boxes of chocolate i eat 3 chocolates from each box i now have 72 chocolates in total

Answers

Answer: there were 12 chocolates in each box. (Originally, before any got eaten)

Step-by-step explanation: let x represent the total amount of chocolates in each box.

8x - 3(8) = 72

8x - 24 = 72 add 24 to both sides

8x = 96 divide both sides by 8

X = 12

Answer:

That means you had 48 chocolates in each box

Step-by-step explanation:

Since you eat 3 chocolates from all 8 boxes, you do this:

8 x 3 which = 24

Now since you have 72 chocolates left you do this:

72 - 24 which = 48

So, therefore, there were originally 48 chocolates in each box

(Don't eat so much chocolate lol you could get sick)

37 points! I need help on this at least by tomorrow! Please

Answers

1. multiplicative
2. additive
3. multiplicative
4. additive
5. multiplicative
6. multiplicative

Find the circumference of the pizza to the nearest tenth.

Answers

Answer:

C=2πr

r=D/2=10/2=5

C=2×3.14×5

C=31.4in

How can you figure out how many inches are in 1 yard?

PLS HELPP

Answers

I believe it’s 36 inches hope this helps

Mrs Thompson is buying 1 3/4 pounds of turkey and 3/4 as much cheese as turkey at a deli which of the following statements is true?

Answers

Answer:

D

Step-by-step explanation:

Answer:

B=true

Step-by-step explanation:

Given function:

to find the correct statement1 3/4 and 3/4

Detail:

so we all know that 1 3/4 is less than 13/4+3/4 so we know that the chest is more than the turkey.find which of them has the word less Turkey than cheese...

A—————-x

Clearly, it states that there is more cheese than Turkey so A is wrong 100%.

B—————-x

This statement states that she is buying less Turkey than cheese so this is true.

C—————-x

C is wrong since 1 3/4 is not twice as much as 1 3/4+3/4.

D—————x

D is wrong since she is buying more chest than Turkey not more Turkey than cheese...

Therefore, B would be the statement that is true.

Find the slope of the line represented by the table of values

Answers

Answer:

The slope》-5

Step-by-step explanation:

hope it helps

have a great day!!

Pls solve ASAP for 20 points

Answers

Answer:

CLICKBAIT it’s accua  10 points

Step-by-step explanation:

Answer:

yes they are parallel because they have a equal distance from each other and are in the same angle

Step-by-step explanation:

Can someone help ill give brainless

Answers

Answer:

dam

thats hard asff

lolsss

Step-by-step explanation:

What is 2n + 17 = 233 solved algebraically???

Answers

n=108
You subtract 233-17=216 divided by 2 it equals 108

Which expression simplifies to 3x + 5?

A. 4x + 2 – x + 3
B. 6x + 4 – 2x + 1
C. 2x + 4 + x – 1
D. x + 5 + 3x

Answers

Answer:

A

Step-by-step explanation:

4x - 1x = 3x

3 + 2 = 5

therefore your expression would be,

3x + 5

Answer:

A

Step-by-step explanation:

If you combine like terms on all of them, you get

A 3x+5

B 4x+5

C 3x+3

D 4x+5

hope this helps!

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