From 7x^2+5xy-3y^2 subtract the sum of 2x^2+3xy-5y^2 and x^2-7xy-4y^2

Answers

Answer 1

Answer:

  4x^2 +9xy +6y^2

Step-by-step explanation:

Combine like terms. I find it useful to factor out the variable part of the expression so I can see what coefficients are being combined.

  7x^2+5xy-3y^2 - (2x^2+3xy-5y^2 + x^2-7xy-4y^2)

  = (7 -2 -1)x^2 +(5 -3+7)xy +(-3 +5 +4)y^2

  = 4x^2 +9xy +6y^2


Related Questions

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer:

4.5

Step-by-step explanation:

To find the hypotenuse of a right triangle, we use Pythagorean's Theorem which states that [tex]a^{2}+b^{2} =c^{2}[/tex]. Plugging in the values of the two legs given, we get [tex]2^{2} +4^{2} =c^{2} =20[/tex]. We can take the square root of each side and get that [tex]c=\sqrt{20} =4.5[/tex].

Answer:

Try 4.5 or 5

Step-by-step explanation:

I measured it up and I estimated 4.5 at most

The product of the roots of the equation ax^2+x-24=0 is equal to -2 2/5. Find the value of a in the equation. Please help 100 points and branliest.

Answers

[tex]ax^2 + x -24 =0\\\\\text{If the roots are}~ \alpha ~ \text{and}~ \beta,\\\\\alpha \beta = -\dfrac{24}a \\\\\implies -2 \dfrac 25 = -\dfrac{24} a\\\\ \implies 2 \dfrac 25 = \dfrac{24} a\\\\\implies \dfrac{12}5 = \dfrac{24}a\\\\\implies 12a = 120\\\\\implies a =\dfrac{120}{12} =10[/tex]

Solve for percent error: At a school production, the drama club advisor
predicted that there would be 200 people on the first night. Find the
percent error if 250 people attend.

Answers

Answer:

25 %

Step-by-step explanation:

Error = (actual - predicted) / (predicted)

= (250-200) / 200

= 50 / 200

= 0.25

multiply by 100 to conver to a percent

25 %

Rajesh gave ½ of his provident fund to his wife, ¼ to his son and the remainder was to be divided equally between his two brothers so that each brother got Rs 10000. What was the amount of provident fund ?​

Answers

1/2 was for his wife so 1/2 was left
from the 1/2, 1/4 went to the son so 1/4 was left
1/4 was divided to two brothers which are 1/8 for each brother --> 1/8 = 10000
therefore 10000 *8 = 80000 = 100% of the fund
Answer:  Rs 80000

This is the number 80 thousand

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

Explanation:

1/2, aka 2/4, of the original fund was given to his wife and 1/4 was given to his son. That totals 3/4 since 2/4+1/4 = (2+1)/4 = 3/4.

In short, 3/4 of the fund is distributed between the wife and son. That leaves 1/4 of the fund for the two brothers to share equally.

Imagine a cake cut into quarters. Then cut each slice in half to get eighths, i.e. there are 8 equal slices. This means each brother gets 1/8 of the fund.

Since each brother got Rs 10000, this must mean the original fund is worth 8*10000 = 80000

Taking 1/8 of Rs 80000 will get us Rs 10000 for each brother.

----------------------------------

Checking the answer:

original fund amount = 80000

1/2 of 80000 = 40000 is the amount the wife gets

1/4 of 80000 = 20000 is the amount the son gets

That totals 40000+20000 = 60000 leaving 80000-60000 = 20000 leftover for the two brothers to share. Cut that 20 thousand figure in half to arrive at Rs 10000 for each brother. These steps help confirm the answer.

----------------------------------

Another method using algebra:

x = original amount of the fund

W = x/2 = 2x/4 = half of the fund = amount wife gets

S = x/4 = quarter of the fund = amount the son gets

W+S = (2x/4) + (x/4) = (2x+x)/4 = 3x/4

W+S represents the sum of the wife's and son's amounts.

We'll subtract this from the original amount x to find out what's left

x - (W+S) = x - (3x/4) = (4x/4) - (3x/4) = (4x-3x)/4 = x/4

This shows that 1/4 of the fund is left over after distributing to the wife and son.

The amount x/4 is then cut in half to get x/8 to represent the amount each brother gets. We're told that amount is Rs 10000

So,

x/8 = 10000

x = 8*10000

x = 80000

The original fund is worth Rs 80000

Which operation should you perform first when you simplify 63 − (2 + 54 × 6) ÷ 5? A division B multiplication C subtraction D addition

Answers

Answer:

start with what's inside the parenthesis so in this case do 54x6 first then solve (2+ whatever the answer was by multiplying 54 times 6  

Step-by-step explanation:

Answer A division

How can you represent a proportinoal relationship with an equation

Answers

Answer:

Just be yourself

Step-by-step explanation:

Which equation represents a line that is perpendicular to the line represented by 2x - y = 7?

Answers

Answer:

the answer is number 1 )

Step-by-step explanation:

we know that

if two lines are perpendicular

so

the slopes

m1*m2=-1

we have  

2x-y=7-------> y=2x-7------------> slope m1=2

find slope m2

m2=-1/m1------> m2=-1/2

the slope m of the perpendicular line must to be -1/2

so

the answer is

y = -1/2x + 6

What is the equation of the line with a slope of

1
4
and a y-intercept of –3?

A.
y
=

3
x
+
1
4

B.
y
=

1
4
x
+
3

C.
y
=

1
4
x

3

D.
y
=

3
x

1
4

Answers

it should be C on a Friday

Given that △ABC is an isosceles triangle with AB⎯⎯⎯⎯⎯≅AC⎯⎯⎯⎯⎯ and AD⎯⎯⎯⎯⎯ bisecting ∠BAC, which of the following proves that ∠ABD≅∠ACD?

Answers

The isosceles triangle having an angle bisector [tex]\overline{AD}[/tex] forms two congruent triangles.

ΔBAD ≅ ΔCAD, therefore, ∠ABD ≅ ΔBAD, by CPCTC

Reasons:

The given parameters are;

ΔABC is an isosceles triangle.

[tex]\overline{AB}[/tex] ≅ [tex]\overline{AC}[/tex]

[tex]\overline{AD}[/tex] bisects ∠BAC

Therefore, the proof that ∠ABD  ≅ ∠ACD is given as follows;

1. [tex]\overline{AB}[/tex] ≅ [tex]\mathbf{\overline{AC}}[/tex] (Given)

2. [tex]\overline{AD}[/tex] bisects ∠BAC (Given)

3. ∠BAD ≅ ∠CAD (Definition of angle bisector)

4. [tex]\overline{AD}[/tex] ≅ [tex]\mathbf{\overline{AD}}[/tex] (Reflexive property of congruency)

5. ΔBAD ≅ ΔCAD (Side Angle Side, SAS rule of congruency based on steps 1, 3 and 4)

6. ∠ABD ≅ ∠ACD (Congruent Parts of Congruent Triangle are Congruent, CPCTC)

Learn more about SAS rule of congruency here:

https://brainly.com/question/6422888

Which of these is a correct statement?

Answers

I got work on my B I got a A

(please help) how many lines of symmetry does the figure have ? type the number only

Answers

Lines of symmetry are lines which cut a figure into two equal halves.As shown in the picture, there are 3 lines of symmetry in the figure.

Hope you could get an idea from here.

Doubt clarification - use comment section

Factor 2x^2 - 4x - 30 =0 ( divide by 2 first!)

Answers

Answer:

Let's apply the quadratic formula:

x

=

4

±

4

2

4

(

2

)

(

30

)

2

(

2

)

x

=

4

±

16

+

240

4

x

=

4

±

256

4

x

=

4

±

16

4

x

=

1

±

4

x

=

5

,

3

Therefore, the solutions to the equation are

x

=

5

and

x

=

3

.

.

Step-by-step explanation:

Explanation:

All the terms in the equation are even, so we can divide by 2 immediately to make the numbers smaller.

2

x

2

+

4

x

30

=

0

x

2

+

2

x

15

=

0

Try to factor before we use loner methods of the quadratic formula or completing the square.

Find factors of 15 which subtract (because of -15) to give 2.

The signs will be different (because of -15), there must be more positives. (because of +2)

5 and 3 will work!

5

×

3

=

15

and

5

3

=

2

(

x

+

5

)

(

x

3

)

=

0

Putting each factor equal to 0 gives the solutions:

x

=

5

or

x

=

3

Answer:

(x+3)(x-5)

Step-by-step explanation:

2x²-4x-30 = 0

devide by 2

; x²-2x-15 = 0

(x+3)(x-5) = 0

A can of soup is a cylinder with diameter 7 cm.

The can is 10 cm high

The can is full of soup

soup

The soup is poured into a saucepan.

The saucepan is a cylinder with diameter 12 cm.

Work out the depth of the soup in the saucepan.

Give your answer correct to 1 decimal place.

Answers

Answer:

3.4 cm

Step-by-step explanation:

We can solve this by calculating the volume of the soup and then figuring out the height of the soup in the saucepan from there.

Cylinder volume: πr²h

r = 0.5 * diameter

volume of soup: π(3.5)²10 ≈ 384.845

volume of soup in saucepan: 384.845

For saucepan:

πr²h = π(6)²h = volume = 384.845

36πh = 384.845

divide both sides by 36π to isolate h

h ≈ 3.4 cm

help please I'm stuck

Answers

Step-by-step explanation:

the line was translated. in other words : it was shifted. it only changed its position. no other attribute changed.

so, the length is still 4.

The value of y varies directly with x.If x=25 then y=20 .a. find the value y when x=8 b. find the value of x when y=32

Answers

is that two problems in one?

Factorise fully 2ab^3+ 8a^2b

Answers


That is the answer :)

The factorization of the given expression is 2ab(b²+4a).

The given expression is 2ab³+8a²b.

What is factorization?

A number's factors are those that divide into another number equally. A number is factorized when it is written as the sum of smaller numbers.

The given expression can be factorize as follows:

2ab³+8a²b

Here, 2ab is the common factor from both the terms, Take it out side the bracket.

That is, 2ab(b²+4a)

Therefore, the factorization of the given expression is 2ab(b²+4a).

To learn more about the factorization visit:

https://brainly.com/question/20293447.

#SPJ2

the square root of 700 times square root of 525 in simplest form

Answers

Answer: 350 [tex]\sqrt{3[/tex]

Step-by-step explanation:

700^0.5 = 10 [tex]\sqrt{7\\[/tex]

525^0.5 = 5 [tex]\sqrt{21[/tex]

10[tex]\sqrt{7[/tex] x 5[tex]\sqrt{21[/tex] = 50 x 7 x [tex]\sqrt{3[/tex] = 350[tex]\sqrt{3\\[/tex]

Which sign makes this number sentence true?
|-56|___ 1561

A)>
B)<
C)=
D) X

Answers

The absolute value of -56 is 56

the new sentence is 56____1561

A is not true because 56 is not bigger then 1561 if you count and put on number line

B is very true if you look at A. 56 is smaller than 1516

So, the answer is a

I hope this helped if it's wrong, plz blame me.

Ps.Brainlist would help a lot

Answer:

B

Step-by-step explanation:

The | | around -56 means absolute value or the total of the number, which in this case is 56, therefore 56 is less than 1561.

Can i get some help :

Answers

The store owner is adding cost, so we will use addition. The answers should be as follows:

[] c + $3.49 = $9.84

[] c = $6.35 <- subtract $3.49 from both sides of the equation

[] Solution of answer represents the old cost of the toy.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

What is the slope of this line?
A.) −1/2
B.) 1/2
C.) 2
D.) I don't know.

Answers

Answer:

2

Step-by-step explanation:

Helpppp meee pleaseeee

Answers

Answer:

the correct answer is ( ZYXW ) because the given polygon is a rectangle and its properties is that the opposite sides are equal means the lenght and breath of the unknown side for the big rectangle is 6 , 3 and for small rectangle the the unknown sides are 1 , 2 only so now you've got all the side of both polygons so now you take the ratio of each side and then you can easily find the sides

Step-by-step explanation:

Hope it helps

Have Nice Day : )

I got this homework packet , I did some of the questions but graphs are what I’m stuck on the most .

Answers

Answer:

For the first picture, I think it is C and the second one should be A.

Step-by-step explanation:

You use vertical lines and if it hits it multiple times it is not a function. Like if it hits two dots or something it is not a function. I hope that make sense, let me know if it doesn't.

Samir sold 4 of his old Star Leaper video games at Trading Post Game Shop. Before he left, he spent $23.65 of his earnings on a controller. Samir had $6.35 remaining.
Which equation can you use to find the amount of money, v, Samir received for each video game? Also, can you solve for v?

Answers

The equation you can use to find the amount of money, v, Samir received for each video game is;

4v - 23.65 = 6.35 and v = $7.5

Algebraic word problems

Samir sold 4 oh his old star leaper video games.

He spent $23.65 of his earnings on a controller and has $6.35 left.

If the amount received for each video game is v, the total cost of the 4 video games is; 4v

He spent $23.65 out of 4v and is left with $6.35

Thus, this equation is;

4v - 23.65 = 6.35

Solving this gives;

v = $7.5

Read more about algebra word problems at; https://brainly.com/question/21405634

Twoyards of cost $13, and 5 yards of fabric cost $32.50. Which equation relates the cost of the fabric c to its length ​

Answers

Answer: c = 6.5I

Step-by-step explanation:

C = the cost of the fabric

I = the length of the fabric

C : I = 13 : 2

C : I = 32.50 : 5

C : I = 6.5

C = 6.5I

=
WHOLE NUMBERS AND INTEGERS
Word problem on unit rates associated with ratios of w
Charlie types at a rate of 14 words per minute.
How many words does he type in 2 minutes?
i words
OB
S
?

Answers

28 wpm
hope this is helpful
I think he typed 24 words

Evaluate.

(−16+0.6(−13)+1)2

What is the value of the expression?

Enter your answer as a simplified fraction in the box.

Answers

-56, this one was difficult so let me know if you need me to explain

a quter of 30 is=
pleas help

Answers

Answer:

7.5

Step-by-step explanation:

If 'quter' is quarter, then 30(1/4) is 7.5

A quarter of 30 is 7.5

All you gotta do is divided 30 by 4 cause a quarter is half of the half. It's the 1/4th part of the whole.

What is the answer to 7-x²

Answers

Answer:

7-1x^2

Step-by-step explanation:

the ps/ms soccor team purchased uniforms and equipment for a total cost of 692. the equiptment cost 422 and the uniforms cost 30 each. how many unifroms were ordered

Answers

Answer:

The answer is 9 uniforms.

Step-by-step explanation:

You can set up the equation like this

Total Cost = Total Cost of Equipment + Total Cost of Uniforms

So the equation would be:

692 = 422 + 30 * (# of Uniforms)

So minus both sides by 422 and you get

692-422 = 30 * (# of Uniforms)

270 = 30 * (# of Uniforms)

Then divide both sides by 30 and you get

9 = # of Uniforms

So therefore, the answer is 9 Uniforms

Jaime is preparing for a bicycle race. His goal is to
bicycle an average of at least 280 miles per week for
4 weeks. He bicycled 240 miles the first week,
310 miles the second week, and 320 miles the
third week. Which inequality can be used to
represent the number of miles, x, Jaime could bicycle
on the 4th week to meet his goal?
A)
240 + 310 + 320
3
+ x 280
B) 240 + 310 + 320 2 x(280)
C)
240 310 320
+- + +x280
4 4 4
D) 240 + 310 + 320 + x 2 4(280)

Answers

Using the mean concept, it is found that the inequality can be used to  represent the number of miles, x, Jaime could bicycle  on the 4th week to meet his goal is:

[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]

The mean of a data-set is the sum of all observations divided by the number of observations.

In this problem:

There are 4 observations.They are: 240, 310, 320 and x.

Hence, the mean is:

[tex]M = \frac{240 + 310 + 320 + x}{4}[/tex]

His goal is to  bicycle an average of at least 280 miles per week for  4 weeks, hence:

[tex]M \geq 280[/tex]

[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]

To learn more about the mean concept, you can take a look at https://brainly.com/question/13451786

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