Write the equivalent expression (5x-3x2)-(5x-2)×(10x+7x2)in standard form:​

Answer:

Q7) ( 2,-2)

Q8) (- 0.5 , -2)

Step-by-step explanation:

As we have to find the mid-points of the line segments, the line segments will be divided in same ratio i.e. 1:1 (∵ A Mid-point divides a line segment into equal parts )

According to Section formula ,

[tex]( x' , y') = (\frac{mx^2 + nx^1}{m+n} , \frac{my^2+ny^1}{m+n} )[/tex]

where (m,n) are the ratios in which a line segment is divided & ( x¹ , y¹ ) ( x², y²) are the co-ordinates of a line segment.

In Q7 ,

x¹ = 3 , y¹ = -9 , x² = 1 , y² = 5 & m = n = 1

So putting the section formula here gives :-

[tex]( x' , y') = (\frac{1*1 + 1*3}{1+1} , \frac{1*5+1*(-9)}{1+1} ) = ( 2 , -2)[/tex]

In Q8 ,

x¹ = 5 , y¹ = -1 , x² = -6 , y² = -3

So putting the section formula here gives :-

[tex](x' , y') = (\frac{1*(-6) + 1*5}{1+1} , \frac{1*(-3) + 1*(-1)}{1+1}) = ( -0.5 , -2)[/tex]

Answer:

length= 84

width= 36

Answer: a=x represents sinks

b=the amount of money he will spend overall on the sink and sealent

c= 100x represents 100 sinks

d=joe will have to charge 85 dollars per sink

Step-by-step explanation:

Answer:

The first one is correct

Step-by-step explanation:

Absolute value (Anything that is inside the tabs) will always be positive, even if there is a negative sign in the number. If the number is already positive, it's still positive.

Answer:

the first one

Step-by-step explanation:

the negative sign is in the box

Answer:

Number of donuts each student get = 144 / x

Step-by-step explanation:

Given:

Number of donuts = 12 dozen

Number of students = x

Find:

How many donuts each student get

Computation:

Total number of donuts = 12 × 12 = 144

Number of donuts each student get = Total number of donuts / Number of students

Number of donuts each student get = 144 / x

Answer: D and J

Step-by-step explanation:

Subtract 17.56 from both sides and divide by 5 to get the answer of D. 2.52

3x + 6 = 9

subtract 6 from both sides

3x = 3

x = 1

Answer: -60

Step-by-step explanation: -4x-3x-5=-60...

Answer:

35

Step-by-step explanation:

If I am not correct I'm sorry.

If Ryan can eat 14 hot dogs in 6 min then he should be able to eat about 35 hot dogs in 15 mins.

14/6= 2.333...

so 2.333... x 15 would equal 35

I hope this helps.

Answer:

Ryan can eat about 34.5  hot dogs in 15 minutes

Step-by-step explanation:

You first need to find how many hot dogs ryan eats in one minute. By doing this you need to do 14 divided by 6 and that will get you to 2.3

Than you need to take that 2.3 and muliply it by the 15 minutes and than that would get you to your answer of 34.5 hotdogs in 15 minutes

I hope this helped!

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{360}}}}}[/tex]

Step-by-step explanation:

Steps for finding L.C.M of the given numbers :

[tex] \star[/tex] First of all find the prime factors of each numbers.

[tex] \star[/tex] Take out the common prime factors.

[tex] \star[/tex] Also take out the remaining prime factors.

[tex] \star[/tex] Multiply those all prime factors and obtain L.C.M. If there is not any common prime factors then their L.C.M is the product of the given numbers.

Now,let's find the least common multiple ( L.C.M ) of 45 and 120 following those steps :

prime factors of 45 = 3 × 3 × 5

prime factors of 120 = 2 × 2 × 2 × 3 × 5

Common prime factors= 3 and 5

Remaining prime factors = 2 , 2 , 2 and 3

Multiply all the prime factors to obtain L.C.M

[tex] \dashrightarrow{ \sf{3 \times 5 \times 3 \times 2 \times 2 \times 2}}[/tex]

[tex] \dashrightarrow{ \boxed{ \sf{360}}}[/tex]

Hope I helped!

Best regards! :D

Answer:1=£34.2

2=£66.6

3=£9.18

4=£13,158

Step-by-step explanation:

We are decreasing the prices by 10%

1.£38

£38 = 100%

? =90%

90×38÷100=£34.2

2.£74

£74=100%

? = 90%

90×74÷100=£66.6

We are increasing the the salaries by 2%

1.£9

£9=100%

? =102

102×9÷100=£9.18

2.£12900

£12900=100%

? =102%

102×12900÷100=£13,158

Answer:

z=3

Step-by-step explanation:

2(2z -4)=4

Divide by 2

2/2(2z -4)=4/2

2z-4 = 2

Add 4 to each side

2z-4+4 = 2+4

2z = 6

Divide by 2

2z/2 = 6/2

z=3

Answer:

height: 9 units

width: 9 units

Step-by-step explanation:

Answer:

3.9404×10^7

Im not sure how to explain it.

Answer:

V is the variable

Step-by-step explanation:

Answer:a. v

Step-by-step explanation:

Given

Required

Identify the variable

Literary, variable means things that change in values;

Going by this definition, we have that:

3 -> This is not a variable because its value will always be 3

v -> This is a variable because its value can change once its value changes, the result of the expression will also change

- -> This is not a variable; it is an arithmetic operator to subtract

8 -> This is not a variable because its value will always be 8

Take for instance

When  

Notice that there's a difference in both results;

This is as a result of v being a variable

Step-by-step explanation:

Answer:0.0000000000045

Step-by-step explanation:

move decimal to left 12 times , left since its negative

Answer  -1/12

Step-by-step explanation:

-7/12 + 1/2 cannot be added until you change 1/2 into 6/12.

To change 1/2 to 6/12, you have to multiply 1/2 by 6 because you want the same denominator. Since you can't just make a whole new fraction by changing the denominator, you have to multiply the numerator by 6 as well.

After changing the fraction, you should get -7/12 + 6/12.

now you can just add the numerators and denominators together and get -1/12!

Answer:

I need help

Step-by-step explanation:

Step-by-step explanation:

2(2x - 6) + 2(x + 3) = 26

4x - 12 + 2x + 6 = 26

4x + 2x -12 + 6 = 26

6x - 6 = 26

6x = 26 + 6

6x = 32

x =32/6

x = 5.3333

Answer:

Step-by-step explanation:

2(2x -6) + 2(x + 3) = 26

4x - 12 + 2x + 6 = 26

6x - 6 = 26

6x = 32

x = 32/6= 16/3

Answer:

1/20

Step-by-step explanation:

3/10 - 1/4

First, convert the fractions to a common denominator:

3/10 *2/2 = 6/20

1/4 * 5/5 = 5/20

Now put them back into the equation and solve:

6/20 - 5/20 = 1/20

Another way to do this:

3/10 - 1/4

Convert the fractions into decimals:

3/10 = 0.3

1/4 = 0.25

substitute back into the equation and solve:

0.3 - 0.25 = 0.05

convert back into fractions:

0.05 = 1/20

Answer:

-12

Step-by-step explanation:

i had got it right yay

Answer:

:)

Step-by-step explanation:

m=c-12/a

I had this on a test and I got it right

Answer:

Step-by-step explanation:

No there is no difference because in a decimal the zero's don't matter, they can go on infinitely but if the numbers above zero are the same and in the same order then the zero's don't make any difference.

Answer:

Step-by-step explanation:

3/100+33/100=36/100=0.36≈0.4(round to one decimal place)

Answer: 5 and 4

Step-by-step explanation:

Perimeter = 2 ( L + W)

18 = 2(L + W) divide through by 2

9 = L + W

9 - L = W

Area = L * W

20 = L (9 - L)

20 = 9L - L^2

L^2 - 9L + 20 = 0 factor

(L - 5) (L - 4) = 0

Set both factors to 0 and solve for L

L = 5 and L = 4

Answer:

Area = a2

a = length of side

Answer:

64$

Step-by-step explanation:

Ifshe saved 8$ each week then that would equal to 40

But by adding the 24$ already saved the total amount would equal to 64$

Answer:

since F is midpoint

DF= FE = 2x+6

DF +FE=DE

2x+6 + 2x+6 = 2x+36

4x + 12 = 2x+36

2x = 24

x=12

DE =2x+36 =2*12 + 36 = 60

Step-by-step explanation: