Find the value of x so that f(x) =7 please help!!!

Answer:

The dimensions that match Alice's rectangle are 7 cm and 8 cm.

Step-by-step explanation:

The perimeter of the rectangle is given by:

[tex] P = 2(a + b) = 30 cm [/tex]    (1)                              

Where a and b are the sides of the rectangle

Also, the area of the rectangle is:

[tex] A = a\times b = 56 cm^{2} [/tex]   (2)

By solving equation (1) for a, we have:

[tex] a = 15 cm - b [/tex]      (3)                      

Now, by entering equation (3) into (2) we can find one side of the rectangle:

[tex] 56 cm^{2} = (15 cm - b)\times b [/tex]          

[tex] b^{2} - 15b + 56 = 0 [/tex]                                                        

Solving the above quadratic equation we have:

b₁ = 7 cm  and b₂ = 8 cm                      

Now, the other side of the rectangle can be calculated with equation (3):

[tex] a = 15 cm - b_{1} = 15 - 7 cm = 8 cm [/tex]                          

or    

[tex] a = 15 cm - b_{2} = 15 - 8 cm = 7 cm [/tex]            

Taking the first solution (b₁) or the second (b₂), we find that the dimensions that match Alice's rectangle are 7 cm and 8 cm.          

Therefore, the dimensions that match Alice's rectangle are 7 cm and 8 cm.

I hope it helps you!                            

Answer:

1048576

Step-by-step explanation:

calculator

Answer:

y =  [tex]\frac{-7x}{2}+\frac{41}{2}[/tex]

Step-by-step explanation:

We are given the point (3, 10).

The second point is 2 on the x-axis and -7 on the y-axis. So our second point is: (3 + 2, 10 - 7) which is (5, 3).

Our formula for slope is m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y2-y1}{x2-x1}[/tex]

So, our equation would be [tex]\frac{3-10}{5-3}[/tex] = [tex]\frac{-7}{2}[/tex]

Using the standard formula of a line, y = mx + b, we can substitute for the slope, m.

y = [tex]\frac{-7x}{2}[/tex] + b

Now, we can substitute a point on the line to determine the y-intercept:

Using the point (3, 10),

10 = [tex]\frac{-7(3)}{2}[/tex] + b

b = 10 + [tex]\frac{21}{2}[/tex]

b = [tex]\frac{41}{2}[/tex]

So our full equation is: y =  [tex]\frac{-7x}{2}+\frac{41}{2}[/tex]

Answer:

n+2 ...................... As addition of two even number make even and addition of one even and one odd makes odd so we can add 3 and 1 as it will result in odd .

Answer:

114?? Ummm I confused that's it......

After giving 225 of the seashells to Fred, then Sandy has -106 seashells now, which is determined by subtraction.

To calculate this, we subtract the number of seashells given to Fred from the initial number of seashells.

Seashells Sandy has now can be calculated as follows:

Seashells Sandy has now = Initial number of seashells - Seashells given to Fred

Therefore, we have:

= 119 - 225

Apply the subtraction operation to get

= -106

This negative sign indicates that there are not enough seashells

Therefore, after giving 225 of the seashells to Fred, then Sandy has -106 seashells now.

Learn more about subtraction here:

https://brainly.com/question/1927340

#SPJ4

if the addition if (X+45)° and (X+105)° equal 180°

due to they are a co- interior angles.

then X+45+X+105 = 180°

2X+150 = 180°

2X = 30

X = 15°

Answer:

(x-6)(x-2)

Step-by-step explanation:

dont feel like explaining just trust me

The two sides of the rectangle will be (x - 6) and (x - 2).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

Sarah has a large square piece of foam for an art project.

The side lengths of the square are x in.

To fit her project, Sarah cuts a section of foam from two of the sies so now she has a rectangle.

The area of the rectangle given by the expression will be

⇒ x² - 8x + 12

Factorize the expression, then we have

⇒ x² - 6x - 2x + 12

⇒ x(x - 6) - 2(x - 6)

⇒ (x - 2)(x - 6)

Then the two sides of the rectangle will be (x - 6) and (x - 2).

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

okay so since the area is 22cm^2 , you will need to simplify it.

Which you will get 22*22 and the total would be 484. Which u will divide by 4 ( Square) to get each of the side your looking for.

So your answer is... 121

Answer:

A spehere

Step-by-step explanation:

A sphere only made up of a curved surface

on the other hand, a cone, cylinder, etc, have a flat surface. for a cone it's the floor. for a cylinder it's the ceiling and the floor of the object

Answer:

Step-by-step explanation:

Like terms have same variable with same exponent. Combine the like terms.

x + x = 2x  {Just add the coefficient}

x + y + x +y + 30 + 5 = x +x  +  y + y   + 30 + 5

                                 = 2x + 2y + 35

Answer: 22 + 2y

Step-by-step explanation:

2 x 11 = 22

2 x y = 2

2(11+y) = 22+2y

Answer:

22+2y

Step-by-step explanation:

2*11 + 2* y

22 + 2y

HTH

Answer:

It's A. always

Step-by-step explanation:

Because, all a reflection does is just flip the selected segment, or shape. The only way a segments length would change is, by dilating it.

Answer:

yes  because it like a mirror

Step-by-step explanation:

1. 0 > 3x - 3 - 6

0 > 3x -9

9 > 3x

3 > x

It would be a closed circle starting from 3 going to the right.

2. 4x + 1 - 1 >/ -8

4x >/ -8

x >/ -2

It would be an open circle starting from -2 going to the right.

3. -1 </ 2n + 4 - 5

-1 </ 2n -1

0 </ 2n

Undefined.

4. -6 > 5n + 5 + 4

-6 > 5n + 9

-15 > 5n

-3 > n

It would be a closed circle going to the right

Answer:

10

Step-by-step explanation:

The radius is half of the diameter, so 5 * 2 = 10

Answer:

diameter=2×radius=2×5=10units

Answer:

y = -9 (negative 9)

Step-by-step explanation:

7 - 3(-9) =

7 - (-27) =

34

Hope this helped and pls mark brainliest!

Answer:

Explanation:

7 - 3y = 34

Simplify both sides of the equation

7 − 3y = 34

7 + −3y = 34

−3y + 7 = 34

Subtract 7 from both sides

−3y + 7 − 7 = 34 − 7

−3y = 27

Divide both sides by -3

−3y / -3 = 27 / -3

Simplify

y = -9

Answer:

The answer is false or "impossible"

Step-by-step explanation:

Heres why I say this:

If the “average speed” in one hour make the car travel 50km, it means the speed could not be constant. So, it could be 90km/h during the first 30 minutes and 10km/h during the second 30 minutes. If this is the case, for example, in the next 12 minutes after the first hour, the car could be traveled 18km at 90km/h, completing 50 + 18 = 68km. The tricky word “average” makes it impossible to answer. Good try, but no cigar.

Answer:

There will be an asymptote at [tex]x=\frac{5}{3}[/tex], meaning the domain is restricted from (-∞, [tex]\frac{5}{3}[/tex])U([tex]\frac{5}{3}[/tex], ∞).

Step-by-step explanation:

When finding domain restrictions for an equation that has a fraction, take the denominator and set it equal to 0. Then, solve for x:

[tex]3x-5=0[/tex]

[tex]3x=5[/tex]

[tex]x=\frac{5}{3}[/tex]

Then we can determine that there's an asymptote at [tex]x=\frac{5}{3}[/tex] but that is the only restriction.

Answer:

D

Step-by-step explanation:

We are combining like terms So,

Step 1

-5x + 2y + 3x

Step 2

-5x + 2y + 3x  combine like terms

(-5x+3x)+(2y)  Then you simplify

-2x+2y

So therefore, your answer is D

Answer:

=75y16 I think this is it

Answer:

The one that starts with 13,14

Step-by-step explanation:

A function can't have repeating x values.

Answer:

no idont ansver kendin cevapla

Answer:

12

Step-by-step explanation:

6(x+8.5)=123

=> 6x + 51 = 123

=> 6x = 123 - 51

=> 6x = 72

[tex] = > x = \frac{72}{6} [/tex]

=> x = 12 (Ans)

Answer: C = 12.56

Step-by-step explanation:

Since radius is 2, the diameter is double the radius which would be 4. C= 3.14 x 4. C = 12.56

Answer:

16

Step-by-step explanation:

9+7=16

Answer:

x = 41 degrees

Step-by-step explanation:

supplement of 73 = 107 degrees

x = 180 -107 - 32 = 41 degrees

Answer:

x is 41

Step-by-step explanation:

180 minus 73 is 107

107 plus 32 is 139

180 minus 139 is 41

using the triangle sum theorem

Answer:

70%

Step-by-step explanation:

1. 1400÷2000 = 0.07

2. move the decimal over 2 spaces for a percentage 0.07 --> 70.0

3. 70.0 = 70%