The lengths of the sides of a triangle are consecutive integers. If the perimeter of the triangle is 111, find the lengths of the sides.

Answer:

Step-by-step explanation:

x^4+6x^2-27=0

The two factors you need to use for 27 is 9 and 3.

Since the middle term must be plus then the 9 is also plus.

(x^2 + 9)(x^2 - 3)

x^2  + 9 can't be factored in the real number system.

x^2 - 3 = 0

(x + sqrt(3))(x^2 - sqrt(3))

The full factoring answer would be

(x^2+9)(x + sqrt(3))(x^2 - sqrt(3))

Answer:

c because she wants to spend less than 113 and if she sent 160 that would be 113 so has to be less

Step-by-step explanation:

113>97+.1x

16>.1x

160>x

Answer:

4.78 × 10^-6

Hope this helped :)

Answer: 4.78 × 10^-6

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

1.) 9.6=1.2b

2.) 9.6/1.2=1.2b/1.2

3.)b=8

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{b = 8}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: \: \: 9.6 = 1.2b}}[/tex]

Swap the sides of the equation

[tex] \hookrightarrow{ \sf{1.2b = 9.6}}[/tex]

Divide both sides by 1.2

[tex] \hookrightarrow{ \sf{ \frac{1.2b}{1.2} = \frac{9.6}{1.2} }}[/tex]

Calculate

[tex] \hookrightarrow{ \bold{ \boxed{ \sf{b = 8}}}}[/tex]

The value of b is 8

Hope I helped!

Best regards! :D

~ TheAnimeGirl

Answer:

[tex]x^2-15x+56[/tex]

Step-by-step explanation:

Use the FOIL distributive method: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

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Thus, [tex]\left(x-7\right)\left(x-8\right)=x\times x +x\left(-8\right)+\left(-7\right)x+\left(-7\right)\left(-8\right)[/tex]

Multiply them to get:

[tex]x^2-8x-7x+56[/tex]

[tex]x^2-15x+56[/tex]

Answer: x(2x²+5)

please give brainliest if it helped

Answer:

x = -3.3333333

y = -2.666666

Step-by-step explanation:

y = 1/2 x - 1

y = 2x + 4 The second equation has the 2x moved to the right side. The y's must be equal so equation the two equations.

1/2x -1 = 2x + 4             Subtract 1/2x from both sides.

-1 = 2x - 1/2 x + 4          Combine

-1 = 1.5x + 4                   Subtract 4 from both sides

-1 - 4 = 1.5x

- 5 = 1.5x                       Divide both sides by 1.5

-5/1.5 = x

x = - 3.333333

Now put x = - 3.333333 into either one of the two given equations. The first one will require one less step, but it does not matter.

y = 1/2 (- 3.3333333) - 1

y = - 1.6666666 - 1

y = -2.6666666

Answer:

5x+3y, when x=4 and y= -3

5(4)+3(-3)=

20+ (-9)=

11

Step-by-step explanation:

Hope this helps. :)

Answer:

5x + 3y = 11

Step-by-step explanation:

x = 4 y = -3

=5x + 3y

=5(4) +3(-3)

=20 + (-9)

=11

When a number and variable are right beside each other it means that the number and the variable are being multiplied together, for example 5x. If x = 4 then it means that 5 and 4 are being multiplied.

(it might be wrong because I haven't done algebra in a long time)

☽------------❀-------------☾

Hi there!

~

The absolute value is the distance from 0 to 2.5. In this case the absolute value from 0 to |2.5| is 2.5

❀Hope this helped you!❀

☽------------❀-------------☾

Step-by-step explanation:

A = wh

225 in² = (13.75 in) h

h ≈ 16.4 in

No, the mirror is too tall.

Answer:

the answer is 6 just do the math and it's pretty easy

Steps to solve:

4 + (9 * 2) / (4 - 1) - 4

~Simplify what is in parenthesis

4 + (18) / (3) - 4

~Divide

4 + 6 - 4

~Add

10 - 4

~Subtract

6

Best of Luck!

Answer:

162

Step-by-step explanation:

30-3 = 27

6(27) = 162

Answer:

B(6

Step-by-step explanation:

The number of omelets made by 18 eggs will be 6. The correct option is B.

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number. The fraction is defined as the division of the whole part into an equal number of parts.

The number of eggs required to make the number of omelets is given in the tables as:-

omelets        eggs

    ?                 18

    3                 9    

    2                 6

    1                  3

The ratio of omelets and egg is calculated as:-

omelets: egg = 3 : 9      

omelets: egg = 1:3

The number of the omelets made by 18 eggs will be calculated as below:-

omelets: egg = 1:3

omelets: 18 = 1:3

omelets = 18 x ( 1 / 3 )

omelets = 6

Therefore, the number of omelets made by 18 eggs will be 6.

To know more about ratios follow

https://brainly.com/question/78672

#SPJ5

Answer:

5h-6e

Step-by-step explanation:

3h - e + 2h - 5e =

= 3h + 2h - e - 5e

= 5h-6e

Answer:

5h - 4e

Step-by-step explanation:

Add 3h and 2h to get 5h then subtract e from 5e which equals 4e

Hope this helps!

Answer:

The distance in radical expression form is d=[tex]\sqrt{89}[/tex]

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(8-0)^2+(-3-(-8))^2}\\d=\sqrt{(8)^2+(5)^2}\\d=\sqrt{(64)+(25)}\\d=\sqrt{89}\\[/tex]

Answer:hhhhds

Step-by-step explanation:

[tex]-\frac{6}{5}(4 - x) \leq -4(x + \frac{1}{2} )[/tex]

Let's start off by distributing the [tex]-\frac{6}{5}[/tex] and -4

[tex]-\frac{24}{5} + \frac{6}{5}x \leq -4x - 2[/tex]

Add 4x and [tex]\frac{24}{5}[/tex] to both sides.

[tex]\frac{26}{5}x \leq \frac{14}{5}[/tex]

Divide both sides by [tex]\frac{26}{5}[/tex]

[tex]x\leq \frac{7}{13}[/tex]

Answer:

Domain = x E R (means x is element of all real number)

Range = y ≤ 3

Answer:

6,0

Step-by-step explanation:

the dilation moves points from A to B

in this case we're moving point T

point T has coordinates 2,0 to start with (A)

Now let's move it to B

To do so, we need to apply the calculation

(x,y) => (3x,3y)

Substitute in point T:

(2,0) => (3x,3y)

(2,0) => (3(2),3(0))

(2,0) => (6,0)

Answer:

1) Take LCM

(147-2x)/3 = (192-x)/6

2) Cross multiply

882-12x= 576-3x

3) Rearrange

882-576= 12x-3x

306= 9x

x=306/9

x=34

Hope it helps :-)

Answer:

D

Step-by-step explanation:

it is D i did this quiz before.

Answer:

V/(2tr)=h

I think, its been a while since i had to do a problem like this

Answer:

C. 30

Step-by-step explanation:

Distance formula - [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

The scale factor of 7 is basically saying that the coordinates (3,4) are going to be increased 7 times.

3•7 = 21=x         --> A prime = (21,28)

4•7 = 28=y

[tex]\sqrt{(21-3)^2+(28-4)^2}[/tex]

= [tex]\sqrt{324+676}[/tex]

= [tex]\sqrt{900}[/tex]

= 30

Answer:

The number is -12

Step-by-step explanation:

let the number = x

x/6 = -2

x = -2 x 6

x = -12

the number is -12