Simplify the expression 6x-9+3x+2 .

Answer:

(x+2)(x-2)

Step-by-step explanation

x times x equals x^2, 2 times x equals 2x, -2 times x equals -2x, and 2 times -2 equals -4. If you add that up, the x-values cancel out, leaving the x^2 and the -4. (This explanation is working it backwards which is the easiest way IMO)

Answer:

(x-2)^2+(y+4)^2=34

The 6 faces of a cube have equal are.

Each face has are of 5*5=25 because they are all squares.

Now we just multiply by 6

25*6=150 centimeters cubed.

Done!

Step-by-step explanation:

step 1. a cube had 6 sides

step 2. each side is a square

step 3. the area of each side is 5x5 = 25cm^2

step 4. the surface area of the cube is 25x6 = 150cm^2.

Answer:

he could have been thinking of 1/2 + 1/2 or 4/8 + 4/8 or maybe 5/10 + 5/10

because 2/2=1 and so does 8/8 and 10/10

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

do you really need one?

Answer:

she needs 3 1/3 more yards

Step-by-step explanation:

There are 3 feet in a yard

14yards x 3feet = 42 feet

58 feet- 42 feet= 10 feet

10 divded by 3 is about 3.3

Answer: 6 yards

Step-by-step explanation:

1)    14 x 3 = 42

2)    58 - 42 = 16

3)    16 / 3 = 5.33333333....

4)     round up = 6

Answer:

tüm duruma (4×4×4 den 64)

(tum durum)-(tum rakamlari farklı olan üç basamaklı sayilar) =en az iki basamağı ayni olan üç basamaklı sayılar

Answer:

100+5x+50+7x

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

7b/b = 7...(b does not matter)

Answer:

Expand (x+2)^3. (x+2)3 ( x + 2 ) 3. Use the Binomial Theorem. x3+3x2⋅2+3x⋅22+23 x 3 + 3 x 2 ⋅ 2 + 3 x ⋅ 2 2 + 2 3. Simplify each term.

Answer:

Area of circle - Area of square

radius of circle is 8m

side of squre os 12m

Step-by-step explanation:

Area of circle is pie r^2

22/7 × 8 × 8

22/ 7 × 64

= 201.14m^2

Area of square is side ^2

12 ×12

= 144m^2

hence 201.14 - 144

= 57.14m^2 is the area of shaded figure

GOOD LUCK FOR THE FUTURE! :)

Answer:

[tex]x=\frac{21}{4}[/tex]

[tex]y=\frac{21}{2}[/tex]

Step-by-step explanation:

equation (1): [tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]

equation (2): y=2x

solve the system by substitution

step1: sub (2x) for y in equation 1:

[tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]

[tex]\frac{1}{2} (2x+2x)=\frac{21}{2}[/tex]

step2: simplify the expression:

[tex]\frac{1}{2} (4x)=\frac{21}{2}[/tex]

[tex]2x=\frac{21}{2}[/tex]

(divide by 2 for both sides)

[tex]x=\frac{21}{4}[/tex]

To find the value for y sub 21/4 for x in equation 2:

y=2x

y=2×(21/4)

[tex]y=\frac{21}{2}[/tex]

Answer:

i guss 8× 77 = 524 which is close to it

Answer: 8 x 70 = 560

Answer:

option 3  / hope this helps

Step-by-step explanation:

i did this test a while ago so if its wrong im sorry

Answer:

[tex] m\angle A = 40\degree[/tex]

Step-by-step explanation:

[tex]m\angle A = \frac{1}{2} (115 \degree - 35 \degree) \\ \\ m\angle A = \frac{1}{2} \times 80\degree \\ \\ m\angle A = 40\degree \\ \\ [/tex]

Answer:

Its divided by 3

Step-by-step explanation:

bigger is 6, smaller is 2....shrinked by 3

Answer:

68

Step-by-step explanation:

c=√a^2+b^2

√ 60^2 + 32^2 =68

We will use the Pythagorean Theorem

[tex]x {}^{2} = {32}^{2} + {60}^{2} \\ {x}^{2} = 1024 + 3600 \\ x {}^{2} = 4624 \\ x = \sqrt{4624} \\ x = 68[/tex]

Answer:

Step-by-step explanation:

57.6

Answer:

Step-by-step explanation:

Answer:

8x + 4

Step-by-step explanation:

Simplified

group like terms: (+5x + 1X + 2x) = 8x (-4 + 8) = 4 add the positive sign so you can get an equation: +4, so your simplified expression would be 8x + 4

Answer:

(3c−2d)(2a+b)

Step-by-step explanation:

3bc−4ad+6ac−2bd

Do the grouping 3bc−4ad+6ac−2bd=(6ac−4ad)+(3bc−2bd), and factor out 2a in the first and b in the second group.

2a(3c−2d)+b(3c−2d)

Factor out common term 3c−2d by using distributive property.

(3c−2d)(2a+b)

Answer:

A 12-kg load stretches an elastic the belt 0.03m

Step-by-step explanation:

we know A 8-kg load stretches an elastic belt 0.02 m.

=> 0.02 / 8 = 0.0025

so A 1-kg load can stretch an elastic belt 0.02 m.

=> 12 * 0.0025 = 0.03 m

A 12-kg load stretches an elastic the belt 0.03m

Answer:

3.75 dollars

Step-by-step explanation:

If 30 bags of popcorn = 112.50

Then what would one bag equal?

First start off by putting money/bags

[tex]\frac{112.50}{30}[/tex]

Then solve.

112.50/30 = 3.75

Your answer is 3.75.

Hope this is correct, and hope it helps ^_^

Answer:

$3.75 per bag

Step-by-step explanation:

Put the total cost (112.50) and divide it by how many she sold (30) to get your answer. hope this helped

Answer:

[tex]4 \\ \: is \: your \: answer \: mate[/tex]

enjoy your day

#Captainpower|~

Answer:

CB = 30.15

Step-by-step explanation:

180-58-93 = 29 degrees for angle B

draw a line perpendicular to BC down to point A, lets call the perpendicular point D.

now you've got 2 similar, smaller triangles

angle A is split into two angles, 29 degrees above and 58 degrees below.

sin 29 =CD/16

CD = 7.75

cos 29 = AD/16

AD = 14

tan 58 =DB/AD = DB/14

DB = 22.40

CD + DB = 7.75 + 22.40 = 30.15

Answer:

3 pieces

Step-by-step explanation:

Given: Figure

To find: Number of 8.5 in. ×  11 in. pieces used to cover the floors  of a room and a hallway in  her dollhouse

Solution:

In the given figure, AC = 22 in.

AB + BC = 22 in.

AB + EF = 22 (As BC = EF being opposite sides of rectangle)

AB + 10 = 22

AB = 22 - 10 = 12 in.

Area of rectangle ABGH = AB × AH = 12 × 5 = 60 square inches

(area of rectangle = length × breadth )

CE = CD + DE = AH + GF (As CD = AH and DE = GF)

CE = 5 + 15 = 20 inches

Area of rectangle BCEF = BC × CE = 10 × 20 = 200 square inches

(BC = EF = 10 in.)

Total area of the figure = Area of rectangle ABGH + Area of rectangle BCEF = 60 + 200 = 260 square inches

Area of pieces of felt = 8.5 × 11

So,

Number of pieces required = Total area of the figure / Area of pieces of felt  =   3 pieces

The theorem that applies to the similar triangles is AA theorem.

Similar triangles are triangle with same shapes but may be different sizes.

Similar triangle have corresponding sides as a ratio of each other.

The triangles above have two of their angles equal, therefore, the triangles are similar.

They are similar by AA theorem.

AA theorem of similarity states that If two of angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°.

30 ≅ 30

95 ≅ 95

learn more on similar triangles here: https://brainly.com/question/16999173

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