can somebody explain how to do this

Answer:

(

5

x

−

2

)

(

x

+

2

)

is the factorised form of the expression.

Explanation:

5

x

2

+

8

x

−

4

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

⋅

N

2

=

a

⋅

c

=

5

⋅

(

−

4

)

=

−

20

AND

N

1

+

N

2

=

b

=

8

After trying out a few numbers we get

N

1

=

10

and

N

2

=

−

2

10

⋅

(

−

2

)

=

−

20

, and

10

+

(

−

2

)

=

8

5

x

2

+

8

x

−

4

=

5

x

2

+

10

x

−

2

x

−

4

=

5

x

(

x

+

2

)

−

2

(

x

+

2

)

(

x

+

2

)

is a common factor to each of the terms

=

(

5

x

−

2

)

(

x

+

2

)

(

5

x

−

2

)

(

x

+

2

)

is the factorised form of the expression.

Step-by-step explanation:

so AD=DC and DC=12 so AD=12

the lines AB=BC so 3x+1=2x+6 simplify and get x=5

plug in and get BC=16

Answer: the answer  50.22

Step-by-step explanation:

Answer:

[tex] \frac{x}{3} + 10 = \frac{3x - 8}{2} \\ \\ \frac{3x - 8}{2} - \frac{x}{3} = 10 \\ \\ taking \: lcm \\ \\ \frac{9x - 24 - 2x}{6} = 10 \\ \\ 9x - 24 - 2x = 60 \\ \\ 7x = 60 + 24 \\ \\ 7x = 84 \\ \\ x = \cancel\frac{84}{7} \\ \\\fbox{ x = 12}[/tex]

hope helpful ~

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

[tex] \frac{x + 30}{3} = \frac{3x - 8}{2} [/tex]

[tex]2x + 60 = 9x - 24[/tex]

[tex]60 + 24 = 9x - 2x[/tex]

[tex]84 = 7x[/tex]

[tex]x = 12[/tex]

I hope it will be helpful

Answer:

Step-by-step explanation:

You are correct in saying false

well, the cheap answer is, linear expressions have one variable and some coefficient in front of it, like 3x or 2y + 3, or (1/4)x - 15 or such, however, a LINEar expression when drawn, yields a LINE, not a curve or such, and that only happens if the variable's exponent is 1, not more than 1, if the variable's exponent is higher, then is a curve of kinds,

so such expressions like -13xy, which has the product of two variables, or 7y³ - 2 or 4x⁵ + 9, are curvy lines.

Answer:

66550000000 in.²

Step-by-step explanation:

22³in x 10⁴in x 5⁴in = 66550000000 in

Answer:

6.75

Step-by-step explanation:

729=1/2*216h

729=108h

h=6.75

I think idrk

Answer: your obviously going to need to use the method a2+b2=c2

Try to calculate the radius if not given to you.

Step-by-step explanation:

In order to use the Pythagorean Theorem, you must know the lengths of at least 2 sides (any 2 sides, but it has to be 2.) of the triangle and know that the measure of one of the angles is 90 degrees.

Answer:

x = [tex]\frac{b-c}{b}[/tex]

Step-by-step explanation:

c = b - bx ( add bx to both sides )

bx + c = b ( subtract c from both sides )

bx = b - c ( divide both sides by b )

x = [tex]\frac{b-c}{b}[/tex]

Answer:

7.75$

Step-by-step explanation:

620/10 = 62

This gives you the amount of hours (8) in the day

62/8 = 7.75

This gives you how much Levi makes each hour :)

The missing angle of the right triangle ABC has a measure of 30°. (Correct answer: A)

Triangles are geometrical figures formed by three sides and whose sum of internal angles equals 180°. There are two kind of triangles existing in this question: (i) Right triangles, (ii) Isosceles triangles.

Right triangles are triangles which one of its angles equals 90° and isosceles triangles are triangles which two of its sides have equal measures.

According to the statement, we know that triangle BQR is an isosceles triangle, whereas triangles ABC, ANB and NBC are right triangles. Based on the figure attached below, we have the following system of linear equations based on right triangles ABC and NBC:

2 · x + 90 + θ = 180   (1)

(90 - x) + 90 + θ = 180   (2)

By equalizing (1) and (2) we solve the system for x:

2 · x = 90 - x

3 · x = 90

x = 30

And by (1) we solve the system for θ:

θ = 180 - 2 · x - 90

θ = 30

The missing angle of the right triangle ABC has a measure of 30°. (Correct answer: A) [tex]\blacksquare[/tex]

To learn more on right triangles, we kindly invite to check this verified question: https://brainly.com/question/6322314

Answer:

When I grow up I want to be

answer:

11.3(repeating) or [tex]\frac{34}{3}[/tex]

explanation:

attached

--

if this helped, please consider giving brainliest !

Answer:

Your answer would be the first one, 7/8 and 0.92, because they are only ones greater than 5/7 the rest equal under 5/7

Answer:

The two solutions: 7/8 & 0.92

Step-by-step explanation:

[tex]\frac{5}{7} =0.714[/tex]

7/8 = 0.875,  because 0.875 [tex]\geq 0.714[/tex]

0.92 because [tex]\geq[/tex] 0.714

Hope this helps

1. x = 10 is correct

2. not sure

3. x = 7 is correct

4. not sure

Answer:

1) given

2) reflexive property

3) corresponding angles theorem

4) AA similarity

5) Corresponding sides of similar triangles are proportional.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

let's solve ~

Perimeter of the composite figure :

Perimeter of rectangle + circumference of semi circle - common side.

Perimeter of rectangle :

[tex]\qquad \tt \dashrightarrow \:2(4 + 12)[/tex]

[tex]\qquad \tt \dashrightarrow \:2(16)[/tex]

[tex]\qquad \tt \dashrightarrow \:32 \: \: ft {}^{} [/tex]

Circumference of Semicircle :

[tex]\qquad \tt \dashrightarrow \:\pi r[/tex]

[tex]\qquad \tt \dashrightarrow \:3.14 \times 2[/tex]

[tex]\qquad \tt \dashrightarrow \:6.28 \: ft[/tex]

Length of common side = 4 feet

So, perimeter of composite figure :

[tex]\qquad \tt \dashrightarrow \:32 + 6.28 - 4[/tex]

[tex]\qquad \tt \dashrightarrow \:34.28 \: ft[/tex]

Answer:

irrational

Step-by-step explanation:

Use the Pythagorean theorem.

5² + 6² = c²

25 + 36 = c²

c² = 61

7² = 49

6² = 64

61 is between 7² and 8², so it is not rational.

Answer: You earn more per pound recycling copper than aluminum.

Step-by-step explanation:

Answer:

You know the radius is 1/2 of the diameter.

You can simply do 2/2 which is ONE.

The radius of the trampoline with a diameter of 2 yards will be 1 yard.

The radius of the circle is the distance from the centre of the circle to the outer curve of the circle. The diameter of the circle is the length of the two points between the curve of the circle passing through the centre of the circle.

The radius of the circle is half of the diameter of the circle. The trampoline's radius will be calculated as,

Radius = Diameter / 2

Radius = ( 2 ) / 2

Radius = 1 yard

Therefore, the radius of the circle will be 1 yard.

To know more about radius follow

https://brainly.com/question/24375372

#SPJ7

Answer:

9/32 units

and

3/4 units

Step-by-step explanation:

pls tell me if im wrong

There are 40,320 ways, in which 8 books can be arranged on a shelf.

Here, we are to find the number of ways in which 8 books can be arranged on a shelf. The total number of books is 8 and the way of arranging books is also 8.

Permutations :

➲ P ( n, r )= n ! / ( n - r ) !

The number of ways to arrange 8 books on a shelf will be :

➝ P ( n, r ) = n ! / ( n - r ) !

➝ P ( n, r ) = 8 ! / ( 8 - 8 ) !

➝ P ( n, r ) = 8 ! / 0 !

➝ P ( n, r ) = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 1

➝ P ( n, r ) = 40, 320

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ~ Hence, there are 40,320 ways in which 8 books can be arranged on a shelf !

If the 3 books can't be together (but any 2 of the 3 can be) then it's 36,000 ways. If any one of the 3 books can't touch either of the other 2, it's 15,840 ways.

I'm not sure if the question is saying that all three books can't be together in a group (and so biology and history can be together, but biology, history and programming can't), or if the books in that group can't sit next to other books in the group (and so biology and history can't be together). Let's do it both ways - case 1 will be all three together and case 2 will be any 2 together.

Before we work this, let's first see the number of ways we can have all 8 books arranged. Order matters and so we can approach this using a permutation equation. Moreover, since we're using all the books, we'll end up with the total number being:

8 ! = 40 , 320 .

Answer: 7

Step-by-step explanation:

Answer:

-8x

Step-by-step explanation:

[tex]-3(x+2)^{2}+4\\-3(2x)^{2}+4\\-12+4\\\ y=-8x[/tex]

Answer:

106⁰

Step-by-step explanation:

As in cyclic quadrilateral sum of opposite angles is equal to 180⁰

Answer:

10: Reflex

11. Acute

12. Obtuse

Step-by-step explanation:

Reflex: Greater than 180 but less than 360

Acute: Less than 90

Obtuse: Greater than 90 and less than 180

Answer:

I believe they want what it looks like, so i have gone ahead and drew those below: its not the best but i tried.

Step-by-step explanation:

Answer:

The answer for question one is 162 cm

Using the slope concept, it is found that the height of the drone is of about 94 feet.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

Hence:

[tex]\tan{23^\circ} = \frac{h - 5}{210}[/tex]

[tex]h - 5 = 89[/tex]

[tex]h = 94[/tex]

The height of the drone is of about 94 feet.

More can be learned about the slope concept at https://brainly.com/question/18090623

The value of price (p) at a point of equilibrium is 13.4. Then the correct option is C.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The equation of the demand (D) and supply (S) is given below.

[tex]\rm D = -\dfrac{4}{3}p +22\\\\S \ = 3p -36[/tex]

Where p is price.

At equilibrium, we have

D = S

Then

[tex]\begin{aligned} \dfrac{4}{3}p +22 &= 3p -36\\\\3p + \dfrac{4}{3} p &= 36 + 22\\\\\dfrac{13}{3}p &= 58\\\\p &= 13.38 \approx 13.4 \end{aligned}[/tex]

More about the linear system link is given below.

https://brainly.com/question/20379472