3y (3x - 1) - ( 3x - 1) tama "termino común"

Given:

The equation is

[tex]y=x^2+2x+1[/tex]

where y is the total square inches of tissue paper and x is the side length of the canvas in inches.

To find:

The side length of the canvas is Martha needs 49 square inches of tissue paper.

Solution:

We have,

[tex]y=x^2+2x+1[/tex]

Putting y=49, we get

[tex]49=x^2+2x+1[/tex]

[tex]0=x^2+2x+1-49[/tex]

[tex]0=x^2+2x-48[/tex]

Splitting the middle term, we get

[tex]0=x^2+8x-6x-48[/tex]

[tex]0=x(x+8)-6(x+8)[/tex]

[tex]0=(x+8)(x-6)[/tex]

Using zero product property, we get

[tex]x+8=0[/tex] and [tex]x-6=0[/tex]

[tex]x=-8[/tex] and [tex]x=6[/tex]

Side length cannot be negative. So, only possible value of x is 6.

Therefore, Martha needs 6 inches side length of the canvas for 49 square inches of tissue paper.

Answer:

Step-by-step explanation:

15(24/2)=$180

Answer:

Inez ran the mile in 5 minutes and 20 seconds

Great had the fastest time.

Her mile was faster by 20 seconds.

Step-by-step explanation:

Answer:

to use integers for certain problems and equation on math, i can also use it for future use in life in case i need it, Its very helpful to learn since it isnt that complicated nor hard, its just a good skill to keep in mind as a student.

Answer:

The answer is 4) 69.08 m

Step-by-step explanation:

Oh please first if the rectangle was compete, it's area would be 8.

The area of the missing triangle is [tex]\frac{2*2}{2}[/tex]=2.

8-2=6

And there you go! Your answer is 6.

Answer:

-0.82 is closest to -1, and -0.28 is closest to -1/4

Step-by-step explanation:

you can start by converting all of them to a fraction or decimal:

-0.28 = -28/100 = -7/25 = -14/50

-0.82 = -82/100 = -41/50

-1/5 = -10/50

-4/5 = -40/50

-1 = -50/50

-1/4 = -12.5/50

Answer:

the link dosent work says it have bug in it

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

x = -0.24 or 3.73

Step-by-step explanation:

[tex]\frac{-b + \sqrt{b^{2} -4ac } }{2a}[/tex] (There's supposed to be a ± between '-b' and the square root)

[tex]x^{2}[/tex] + 4x + 1 ( [tex]ax^{2} + bx + c[/tex] )

a = -1 ( there's no number before [tex]x^{2}[/tex] so its 1 )

b = 4

c = 1

Substitute into the quadratic equation.

[tex]\frac{-4 + \sqrt{4^{2} -4x1x-1 } }{2x-1}[/tex] ( the [tex]x[/tex] is just the multiplication sign )

=  [tex]\frac{-4 + \sqrt{{16} +4 } }{-2}[/tex]

[tex]\frac{-4 + \sqrt{{20} } }{-2}[/tex] = -0.24    [OR]     [tex]\frac{-4 - \sqrt{{20} } }{-2}[/tex] = 3.73

( The answers are to 2 decimal places )

Answer:

7

Step-by-step explanation:

First you have to fined the unit rate

1,500/25= 60

Now your gonna do

300x60= 18,00

Answer:

4(x + 5) = 4x + 20 is C

2 + 7x = 7x + 2 is A

3(x multiplied 4) = (3x) x 4 is B

Step-by-step explanation:

Answer:

give other person brainliest!!! this is his alt

Step-by-step explanation:

Answer:

2 times 11 times 3511

Step-by-step explanation:

i kinda dont know what your asking but i tried

The common prime factor of the numbers  77 and 242? will be 11.

A number can be expressed as the product of its prime factors through the process of prime factorization. A number with exactly two factors, 1 and the number itself, is said to be a prime number. As an illustration, let's use the number 30. Even though we are aware that 30 = 5 6 is not a prime number,

Given that the numbers are 77 and 242. The prime factor of the numbers is calculated as,

77 / 11 = 7

242 / 11 = 22

Hence, the number 11 is completely dividing both the numbers 77 and 242 so the prime factor of the numbers is 11.

To know more about prime factors follow

https://brainly.com/question/1081523

#SPJ2

Answer:

y=1/6x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-3)/(0-(-6))

m=1/(0+6)

m=1/6

y-y1=m(x-x1)

y-3=1/6(x-(-6)(

y-3=1/6(x+6)

y=1/6x+6/6+3

y=1/6x+1+3

y=1/6x+4

Answer:

c

Step-by-step explanation:

The careers in the human services cluster include:

Human needs are met through activities such as counseling and mental health services, family and community services, personal care, and consumer services in the Human Services career cluster.

Career clusters are groups of jobs that are similar in nature. They make it simple to investigate many types of occupations under a single broad category. Begin by learning about one of the clusters, such as health care or construction, to understand about what it entails, current trends, and the various careers it offers.

Learn more about human services on:

https://brainly.com/question/10161271

#SPJ1

Answer:

1) True

2) True

3) True

4) True

5) False

Step-by-step explanation:

Hope this helped!

Answer:

Q=-27

Step-by-step explanation:

Answer:

x = 55

y = 45

Step-by-step explanation:

In similar triangles, the ratio between similar sides are the same. So,

AB/ED = BC/EF = AC/DF

Substitute values that they give

6/15 = 18/y = 22/x

Solve 6/15 = 18/y by cross-multiplying

6y = 15*18 = 324

Divide both sides by 6

y= 45

Solve 6/15 = 22/x by cross-multiplying.

6x = 22*15 = 330

Divide both sides by 6.

x = 55

Because there is some dispute between the answers, let's check the ratios.

6/15 = 18/45 = 22/55

0.4 = 0.4 = 0.4

True, x = 55 and y=45

since triangle abc~ def

their sides will be proportional

AB/de=ac/df

6/15=22/x

doing crisscrossed multiplication

6x=22×15

x=22×15/6=55

again

AB/de=BC/EF

6/15=18/y

doing crisscrossed multiplication

6y=15×18

y=15×18/6=15×3=45

Answer:

2 - 30ft²

3 - 57yd²

Step-by-step explanation:

Hey There!

The first step in solving this problem is finding the formula for area of a trapezoid

[tex]A = \frac{a+b}{2} h[/tex]

a = base 1

b = base 2

h = height

For the first one the dimensions are

a = 6

b = 9

h = 4

now we just plug in the values

[tex]A=\frac{6+9}{2} 4\\6+9=15\\\frac{15}{2}=7.5\\7.5*4=30[/tex]

so the area of the first trapezoid is 30 ft²

For the second one the given dimensions are

a = 8

b = 11

h = 6

now we just plug in the values

[tex]A=\frac{8+11}{2} 6\\8+11=19\\\frac{19}{2} =9.5\\9.5*6=57[/tex]

so the area of the second trapezoid is 57 yd²

Answer:

18 miles per hour is an outlier

the outlier decreases the mean speed

Step-by-step explanation:

the low number of 18 is way different from the other numbers being in the 30's and 40's

this 18 will bring the mean of all the numbers own because it is a smaller number.

Answer:

Step-by-step explanation:

Mean:44

Median:31

Mode:47

Answer:

The length of HF is 73.9 feet.

Step-by-step explanation:

Let the length of HF be represented by x. So that applying the appropriate trigonometric function to the triangle FGH, we have;

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

Where θ is the angle given in the triangle = [tex]80^{o}[/tex].

Then,

Sin 80 = [tex]\frac{x}{75}[/tex]

⇒ x = Sin 80 x 75

      = 0.9848 x 75

      = 73.86

x = 73.9

Thus, the length of HF is 73.9 feet.

Answer:

₹14,946

Step-by-step explanation:

Tv s old for ₹14100

Deepak loses 6%

Purchase cost = Selling price + Loss cost

Purchase cost = ₹14100 + ₹14100(6%)

Purchase cost = ₹14100 + ₹846

Purchase cost = ₹14,946

Answer:

Last option (bottom right)

Step-by-step explanation:

The scientific notation for 0.002 is [tex]2*10^-3[/tex] (you move the decimal 3 to the right to get 2)

multiply the number of mustard seeds with this and you get 80. In scientific notation it is [tex]8*10^1[/tex] (move the decimal 1 to the left to get 8.0)

Answer:

A i hope its right

Step-by-step explanation:

Answer:

x + 6

Step-by-step explanation:

If you dont know the value of x you cant solve the problem fully

Answer:

6+x

Step-by-step explanation:

2+(x+4)

=2+x+4

=6+x