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Bezzdna [24]
2 years ago
10

Solve (x - 3)^2 = 5 p please help

Mathematics
2 answers:
wel2 years ago
3 0

Hello!

Let's solve !

⇒ (x - 3)² = 5

⇒ x² - 6x + 9 = 5

⇒ x² - 6x + 4 = 0

⇒ x = -(-6) ± √36 - 4(1)(4) / 2

⇒ x = 6 ± √20 / 2 = 6 ± 2√5 / 2

⇒ x = 3 ± √5

∴ The solutions are x = 3 + √5 and x = 3 - √5.

Rzqust [24]2 years ago
3 0

Answer:

p=(x−3)25

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     (x-3)^2-(5*p)=0 

STEP1:

 1.1    Evaluate :  (x-3)2   =  x2-6x+9 

Equation at the end of step1:

x2 - 6x - 5p + 9 = 0

STEP2:

Solving a Single Variable Equation:

 2.1     Solve   x2-6x-5p+9  = 0

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Mr jones is planning to pant grass and place afence in a small area for his dog. The rectagular dimension are 12×15 feet. The gr
goldenfox [79]

Answer:

A) The total feet needed for the fence total perimeter is 54 feet

B) The total cost of fence is $432

C) The square feet of grass needed foe the total area is 180 square feet

D) The total cost of the project is $572

Step-by-step explanation:

Given as :

The dimension of rectangular field

Length of rectangular field = L = 12 feet

width of rectangular field = w = 15 feet

The cost of grass per square foot = 50 cents = $0.5    ( ∵ 1 cents = $0.01 )

The cost of small fence = $8 per linear foot

Now, According to question

A ) Let The total feet needed for the fence total perimeter = A feet

∵ Perimeter of rectangular field = 2 × Length + 2 × width

Or, A = 2 × L + 2 × w

Or, A = 2 × 12 feet + 2 × 15 feet

Or, A = 24 feet + 30 feet

∴ A = 54 feet

So, The total feet needed for the fence total perimeter = A = 54 feet

B ) Let The total cost of fence = $B

So, The total cost of fence = The cost of small fence × perimeter of fence

i.e B = $8 × 54 feet

∴ B = $432

So,The total cost of fence = B = $432

C) Let the square feet of grass needed foe the total area = C square feet

∵The Area of rectangular fence = Length × width

Or, The square feet of grass needed foe the total area = Area of rectangular fence = L × w

i.e C = 12 feet × 15 feet

Or, C = 180 feet²

So,The square feet of grass needed foe the total area = C = 180 square feet

D) Let The total cost of grass = $D

∵ The cost of grass per square foot = $0.5

So,Total cost of grass = $0.5 × Area of fence

i.e D = $0.5 ×  180 feet²

Or, D = $90

So, The Total cost of grass = D = $90

E) Let the total cost of the project = $E

∵Mr. Jones spend additional $50 for tools

So, The total cost of the project =  money spent on tools + total cost of fence + Total cost of grass

i.e E = $50 + B + D

Or, E = $50 + $432 + $90

∴ E = $572

So, The total cost of the project = E = $572

Hence,

A) The total feet needed for the fence total perimeter is 54 feet

B) The total cost of fence is $432

C) The square feet of grass needed foe the total area is 180 square feet

D) The total cost of the project is $572  Answer

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3 years ago
There are 63 female performers in a dance recital. the ratio of men to women is 5:9. how many men are in the dance recital?
valentinak56 [21]
In d ratio 5:9 which equals 5+9=14
the total female performers is 63
For men = 5/14*63=5/2*9
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5 0
2 years ago
Karen earns $54.60 for working 6 hours. If the amount she earns varies directly with the
Andrei [34K]

Given:

Karen earns $54.60 for working 6 hours.

Amount she earns varies directly with the  number of hours she works.

She need to work to earn an  additional $260.

To find:

Number of hours she need to work to earn an  additional $260.

Solution:

Let the amount of earnings be A and number of hours be t.

According to question,

A\propto t

A=kt     ...(i)

where, k is constant of proportionality.

Karen earns $54.60 for working 6 hours.

54.60=k(6)

Divide both sides by 6.

\dfrac{54.60}{6}=k

9.1=k

Put k=9.1 in (i).

A=9.1t

Substitute A=260 in the above equation.

260=9.1t

Divide both sides by 9.1.

\dfrac{260}{9.1}=t

28.5714=t

t\approx 29

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Work out the surface area of this solid prism.
alexandr1967 [171]

Answer:

2520cm²

Step-by-step explanation:

Surface area = sum of the area of all the bases.

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Area of left base = 17 * 30 = 510

Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420

Then add all the areas together to find surface area

Surface area = 840 + 750 + 510 + 420 = 2520cm²

Relevant Formulas:

Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base

Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.

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<span>https://gyazo.com/6728967865dc379cf0bf1f9ca27057ed</span>
4 0
3 years ago
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