adding and subtracting polynomials

Answer:

9x ^2 − 25

Explanation:

( a + b ) ( a − b ) = a ^2 − ^b 2

substitute  a  with  3 x  and  b  with 5:

( 3 x + 5 ) ( 3 x − 5 ) = ( 3 x ) 2 −5^ 2 = 9 x ^2 − 25

( 3 x + 5 )( 3 x − 5 ) =  9 x ^2 − 25

Answer:

9x² - 25

Step-by-step explanation:

(a - b)(a + b)= a² - b²

a = 3x   ; b = 5

(3x - 5 )(3x + 5)= (3x)² - 5²

                        = 3²x² - 25

                        = 9x² - 25

Answer:

250p-195

Step-by-step explanation:

did the quiz

Answer:

250p-195

~Sophia

Answer:

x=3

Mark me if I helped you❤️

Answer:

simplified is -2

Step-by-step explanation:

......

Answer:

First one is 2^5 = 3x+5

Second is x = 2

Third one is x^3 = 64

last one is x = 4

Answer:

C. x < -2.

good luck, i hope this helps :)

Answer:

the answer is 80 cubic cm.

Step-by-step explanation:

it is simply height X width so 20 X 4= 80 meaning the answer is 80 cm

Answer: 80

Step-by-step explanation: A=LxW.

4x-2=-8

2x-5=-10

-10x-8=80

Answer:

24

Step-by-step explanat

Divide both the numerator and denominator by the GCD

1032 ÷ 43

43 ÷ 43

Reduced fraction:

24

1

Therefore, 1032/43 simplified to lowest terms is 24/1.

Answer:

Inside the circle, a distance of [tex]\sqrt{34}[/tex] from the center of the circle.

Step-by-step explanation:

Center of circle is at (0,0)

One point of the circle is at (0,[tex]\sqrt{38}[/tex])

Since the only known point is in the y-axis, the radius of the circle must be [tex]\sqrt{38}[/tex].

[tex]\sqrt{38}[/tex] = 6.164

So the point (-5,-3) is still inside the circle as the distance from point (-5,-3) to the center of the circle is [tex]\sqrt{(5)^2+(-3)^2}[/tex] or [tex]\sqrt{34}[/tex] which is less than the radius of the circle.

Point N(-5, -3) lies inside the circle.

We have,

To determine the location of point N(-5, -3) in relation to the given circle centered at C(0, 0), we can calculate the distance between point C and point N.

- If the distance is equal to the radius of the circle, then N lies on the circle.

- If the distance is greater than the radius, N lies outside the circle.

- If it is smaller, N lies inside the circle.

Let's calculate the distance between C(0, 0) and N(-5, -3):

Distance = √[(x2 - x1)² + (y2 - y1)²]

= √[(-5 - 0)² + (-3 - 0)²]

= √[25 + 9]

= √34

Since the distance (√34) is less than the radius of the circle, which is √38 (distance between C and M), we can conclude that the point N(-5, -3) lies inside the circle centered at C(0, 0).

Thus,

Point N(-5, -3) lies inside the circle.

Learn more about Circle here:

https://brainly.com/question/11833983

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The complete question:

Given that a circle is centered at C(0, 0) and passes through the point M(0, √38), determine the location of the point N(-5, -3) in relation to the circle. Does point N lie inside, outside, or on the circle?

Answer:

calculate by yourself

Step-by-step explanation:

use sin theorem

1.

[tex] \frac{s}{ \sin(60) } = \frac{12}{ \sin(30) } [/tex]

2.

[tex] \frac{s}{ \sin(90) } = \frac{4}{ \sin(30) } [/tex]

3.

[tex] \frac{s}{ \sin(60) } = \frac{10}{ \sin(90) } [/tex]

Answer:

5 hamburgers and 3 hot dogs

Step-by-step explanation:

D = number of hot dogs

H = number of hamburgers

D + H = 8    then  D = 8 - H

1.50D + 1.75H = 13.25

substitute for D

1.50(8-H) + 1.75H = 13.25

12-1.50H + 1.75H = 13.25

subtract 12 from each side

-1.50H + 1.75H = 1.25

0.25H = 1.25

divide both sides by 0.25

H = 5

D = 8-5

D = 3

Answer:

64

Step-by-step explanation:

to be honest i just looked it up it thats what i do with my work and i always get it right so...

Answer:

1. 1 min : 2 min

2. 1 min : 4 min

3. 1 : 5

4. 1 : 2

5. 1 hr : 4 hrs

6. 7 p : 10 p

7. 5 : 2 : 3

8. 1 : 3

9. 3 : 5

Step-by-step explanation:

break it down to the lowest, which means to keep dividing it till it can't anymore.

hope that helps

Answer:

10

Step-by-step explanation:

Because if the number of girls is the same as the boys you just devide 20 by 2 and get 10

The value of variable x in the equation is x = c - k / 3

3x+ k = c

let's find x or make it the subject of the formula,

3x + k = c

subtract k from both sides of the equation

3x + k - k = c - k

3x = c - k

divide both sides by 3

3x / 3 = c - k / 3

Therefore,

x = c - k / 3

learn more on variables here: https://brainly.com/question/10730100

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Answer:

(s+t)(x) = s(x) + t(x)

(s*t)(x) = 2x³ + 4x²

Step-by-step explanation:

(s+t)(x) = s(x) + t(x)

= x + 2 + 2x²

= 2x² + x + 2

(s*t)(x) = s(x) * t(x)

= (x + 2) * 2x²

= 2x³ + 4x²

please give me brainliest if my answer is helpful

Answer:

x = 12

Step-by-step explanation:

x = length of side of square A

'x-3' represents length of side of square B

Perimeter of square A = 4x

Perimeter of square A = 4x - 12

we can set up the following proportion based on ratio of 4:3

4x / 4 = 4x - 12 / 3

cross-multiply:

4(3x) = 4(4x-12)

12x = 16x - 48

-4x = -48

x = 12

Answer:

56

Step-by-step explanation:

1:8= 7:?

1*?=7

/1   /1

1*7=7

8*7=56

1:8 = 7:56

Answer:

7:56

Step-by-step explanation:

1:8

we need to turn the one into seven. Turn the ratio 1:8 into the fraction 1/8.

multiply by 7/7 to turn the one into seven and 8 into 56

7/56 can now be turned into ratio 7:56. You could omit the turning of the ratio into the fraction at the beginning, but I find it makes it simpler.

Answer:

y > 0

Step-by-step explanation:

Answer:

[tex]\boxed{\textsf{ The correct option is \textbf{Option (D)} .}}[/tex]

Step-by-step explanation:

For complete solution kindly refer to the attachment .

Related Information :-

• Midpoint formula :-

The midpoint formula for points (x1,y1) and (x2,y2) is ,

[tex]\boxed{\sf Midpoint =\bigg( \dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg) }[/tex]

• Section Formula :-

The coordinate of point dividing the line joining points (x1,y1) and (x2,y2) in ratio m:n is ,

[tex]\boxed{\sf Section\ Formula = \bigg(\dfrac{nx_1+mx_2}{m+n},\dfrac{ny_1+my_2}{m+n}\bigg)}[/tex]

Answer:

Y=3/5x-3

Step-by-step explanation:

Answer:

y=5/3x+5

Step-by-step explanation:

1)3y-5x=15

2)3y=15+5x

3)y=5+5/3x

4)y=5/3x+5    

1) Write the equation out

2) Add 5x to both sides of the equation

3) Divide both sides of the equation by 3

4) Reorder the terms  

6.75

-2.25

----------

4.50

-2.25

----------

2.25

-2.25

----------

0.00

you could bowl 3 times (it starts off at 6.75 because I took away the cost of the shoes)

Answer:

1. $161.50

2. $68.04

Step-by-step explanation:

Answer:

2/10 (1/5)

Step-by-step explanation:

to do this, you know that the marble is put back, so you have an equal chance each time. then, find how many black marbles there are, and go from there.

Answer:

3) 25, 12.5, 6.25

4) 324, -972, 2916

Step-by-step explanation:

Answer:

7. NS. A. 2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers.

Step-by-step explanation:

have a nice day