Which value of x satisfies the equation

Answer:

Length of the longest side = 17 units

Step-by-step explanation:

Given:

Three sides of triangle

A = 7

B = x+4

C = 2x + 1

Perimeter of the triangle = 36

Find:

Length of the longest side

Computation:

We know that

Perimeter of the triangle = A + B + C

Perimeter of the triangle = 7 + x + 4 + 2x + 1

36 = 12 + 3x

24 = 3x

x = 8

So

Side B = 8 + 4 = 12 unit

Side C = 2(8) + 1 = 17 units

Length of the longest side = 17 units

Answer:

17.

Explaination:

Dunno. I just put it on paper, and did the calculations there.

Answer:

Step-by-step explanation:

[tex]x^{2} -x-x<[/tex] 0

[tex]x^{2} -2x[/tex] < 0

x^2-2x+1<1

(x-1）^2<1

-1<x-1<1

0<x<2

[tex](x-1)^{2}[/tex][tex](x-1)^{2}[/tex]

Answer:

0

Step-by-step explanation:

Hello, do you agree that 25 * 2 = 50 ?

So, we can write that [tex]50 = 25 * \boxed{2} + \boxed{0}[/tex]

the remainder is 0.

Thank you

Answer:

518

Step-by-step explanation:

solution:

=8^2^×1^+1+6^2^×1^-1

=8^3+6^1

=8^3+6

=8×8×8+6

=512+6

=518

Answer:

itself and numbers divisible by 7

Answer:

x=5 and y=7

Step-by-step explanation:

x + 2 = y (equation 1)

x + 23 = 4y (equation 2)

(equation 2) - (equation 1)

This gives,21 = 3y

y = 21/3

y = 7.

Put y = 7 into equation 1 to find x

x + 2 = 7

x = 7 - 2

x = 5.

Answer:

3166.7

Step-by-step explanation:

Volume=pi*r^2*h

=pi*12^2*7=3166.7

Answer:

3166.7

Step-by-step explanation:

Volume of a cylinder= pi × radius² × height

3.14 × 12² ×7 = 3166.7

Answer:

Choice b. [tex]q[/tex] has to be false.

Step-by-step explanation:

Consider the truth table of [tex]p \implies q[/tex] ([tex]p[/tex] implies [tex]q[/tex]).

The only combination where [tex]p \implies q[/tex] is false is when [tex]p[/tex] is true and [tex]q[/tex] is false. Hence, the [tex]q\![/tex] here must be false.

Answer:

2(3x+4) = 11x-17

6x+8 = 11x-17

25=-5x

x=-5

11x-17

55-17

38

AC = 38

CD = 38

49-38 = 11

DE = 11

Let me know if this helps!

Answer:

11

Step-by-step explanation:

26=7(g-9)+12

14=7(g-9)

2=g-9

g=11

Answer:

78

Step-by-step explanation:

A 45-45-90 triangle has sides like..

So the height of the parallelogram is 6.5

6.5 x 12 = 78

Answer:

78 in^2

Step-by-step explanation:

The area of a parallelogram is

A = bh

A = ( 12) * h

We can find the height  from using trig functions

tan 45 = h /6.5

6.5 tan 45 = h

A = ( 12) * 6.5 tan 45

   =12 ( 6.5) * 1

   =78

Answer:

y=-1

Step-by-step explanation:

As the line is horizontal in nature and pass through (2,-1), the equation is y=-1

Answer:

the image or text isnt there?

Step-by-step explanation:

Answer:

Hello,

Step-by-step explanation:

[tex]x^2+y^2+6x+18y-10=0\\\\x^2+6x+9+y^2+18y+81-9-81-10=0\\\\(x+3)^2+(y+9)^2=10^2\\\\\\center=(-3,-9)\\radius=10\\[/tex]

Answer:

x = 9.4m

Hope this helps...Have a good day!!

Answer:

30

Step-by-step explanation:

Answer:

w>10

length = 40

Step-by-step explanation:

Let

Width=w

Length=4w

Perimeter is less than 100 inches

Perimeter of a rectangle= 2( Length + width)

100 < 2(4w+w)

100 < 8w+2w

100 < 10w

w > 10

Length =4w

=4 × 10

=40 inches

Answer:

5/2l <100

Step-by-step explanation:

PLATO

Answer:

2.625

Step-by-step explanation:

First convert mixed fraction to improper fraction,

=> 21/8

Then by normal division you will get,

=> 2.625

45125|5

9025|5

1805|5

361|19

19|19

1

[tex]45125=5^3\cdot 19^2=5^2\cdot 5\cdot19^2[/tex]

It's 5

Answer:

The given figure is:

a. Polyhedron

c. prism

d. solid

Step-by-step explanation:

First of all, let us consider the given image.

It is a 3 dimensional figure.

It has 2 equal bases which are pentagonal.

Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces.

The faces can be of 'n' number of edges (Polygonal faces).

Its edges are straight, has sharp corners which are also known as vertices.

The given image is a polyhedron as per above definition.

b. Pyramid:

It is also a 3D shape which can have a polygonal base and its faces are triangular which converge on the top to one point.

The given image does not converge to a point on the top, so not a pyramid.

c. Prism:

It is a 3D shape which has it two bases as polygonal structure.

The two bases are equal in shape and size.

There are faces on the body of prism which are formed by joining the edges of the bases.

The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height.

So, the given image is a Solid.

e. Cube:

Cube is a 3D figure, which has all its faces in square shape.

All the sides are equal for a cube.

The given image is not a cube.

f. Polygon:

A polygon is a closed figure in 2 dimensions which has n number of sides.

The given image is not a polygon.

Answer: The given figure is:

a. Polyhedron

c. prism

d. solid

The given figure is a Polyhedron, prism and solid.

A polyhedron is a three-dimensional geometry having plane surfaces connected together with sharp edges and pointed vertices.

First of all, let us consider the given image. It is a 3-dimensional figure. It has 2 equal bases which are pentagonal. Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in the following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces. The faces can be of 'n' number of edges (Polygonal faces). Its edges are straight, has sharp corners which are also known as vertices. The given image is a polyhedron as per the above definition.

c. Prism:

It is a 3D shape which has it two bases as a polygonal structure.The two bases are equal in shape and size. There are faces on the body of prism which are formed by joining the edges of the bases. The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height. So, the given image is a Solid.

To know more about Polyhedrons follow

https://brainly.com/question/24324783

#SPJ5

Answer:

Step-by-step explanation:

: v

Answer:

(x + 10)² = 4

Step-by-step explanation:

Given

2x² + 192 = - 40x ( add 40x to both sides )

2x² + 40x + 192 = 0 ( subtract 192 from both sides )

2x² + 40x = - 192 ( divide through by 2 )

x² + 20x =- 96

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(10)x + 100 = - 96 + 100

(x + 10)² = 4

Answer:

Step-by-step explanation:

sin² Θ csc² Θ =sin² Θ + cos² Θ

sin² Θ 1/sin² Θ = sin² Θ + cos² Θ

1 = sin² Θ + cos ² Θ (this is a trig identity)

Answer:Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

Negative Factors of 72: -1, -2, -3, -4, -6, -8, -9, -12, -18, -24, -36 and -72.

Prime Factors of 72: 2, 3.

Prime Factorization of 72: 2 × 2 × 2 × 3 × 3 = 23 × 32

Sum of Factors of 72: 195.

Step-by-step explanation:

Answer: 7:55

Step-by-step explanation: in total the journey is 105mins so if she has to reach by 9:30. Then she has to leave her house 105mins before 9:30

Step-by-step explanation:

Any real number that cannot be expressed as the quotient of integers

I HOPE THE DAY GOES GREAT.

Answer:

Step-by-step explanation:

Answer:

30 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 6 and h = 10 , thus

A = [tex]\frac{1}{2}[/tex] × 6 × 10 = 3 × 10 = 30 cm²

and 7² = 7 × 7 = 49

Answer:

1)        30 cm²

2) Seven squared equals seven times 7

Step-by-step explanation:

Base = 6 cm

Height = 10 cm

Area of triangle = [tex]\frac{1}{2}[/tex]*base * height

                          = [tex]\frac{1}{2} * 6 * 10[/tex]

                         = 3 * 10

                          = 30 cm²

2) 7² = 7 * 7

Answer:

  11

Step-by-step explanation:

The two equations appear to be ...

These can be solved for y using Cramer's rule:

  y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11

The cost of the vegetarian lunch is 11.

_____

Comment on Cramer's Rule

For equations ...

  ax +by =c

  dx +ey = f

The solutions are ...

  x = (bf -ey)/(bd -ea)

  y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression

Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.

Answer:

11

Step-by-step explanation:

quick mafs

Answer:

x=45

Step-by-step explanation:

straight line=180°

2x+x=3x

180-45=135

135/3=45

x=45

Answer:

1). 114.29 km per hour

2). 93.24 km per hour

Step-by-step explanation:

Question (1)

Umar drove his taxi in two parts;

1). Ipoh to Tapah

2). Tapah to Kuala Lumpur

Since, the formula to calculate the average speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]

Total distance from Ipoh to Tapah = 60 km

Average speed to cover this distance = 100 km per h

Time taken to cover this distance = [tex]\frac{\text{Distance covered}}{\text{Speed}}[/tex]

                                                            = [tex]\frac{60}{100}[/tex]

                                                            = 0.6 hours

Total distance from Ipoh to Kuala Lumpur = 220 km per h

Average speed from Ipoh to Kuala Lumpur = 110 km per h

Time taken to cover the distance = [tex]\frac{220}{110}[/tex] = 2 hours

Distance from Tapah to Kuala lumpur = 220 - 60

                                                               = 160 km

Time taken to travel from Tapah to Kuala Lumpur = 2 - 0.6

                                                                                   = 1.4 hours

Average speed from Tapah to Kuala Lumpur = [tex]\frac{160}{1.4}[/tex]

                                                                           = 114. 29 km per hour

Question (2).

Speed achieved by the leopard = 25.9 meter per sec.

Since, 25.9 meter = [tex]\frac{25.9}{1000}[/tex] km

                              = 0.0259 km

1 second = [tex]\frac{1}{3600}[/tex] hour

Therefore 25.9 meter per second = [tex]\frac{0.0259}{\frac{1}{3600} }[/tex]

                                                        = 0.0259 × 3600

                                                        = 93.24 km per hour