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Dovator [93]
2 years ago
12

I need help please, Thank You!

Mathematics
2 answers:
Paraphin [41]2 years ago
6 0

Answer:

Quadratic formula

pishuonlain [190]2 years ago
4 0
Yes, quadratic formula
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Use completing the square to solve for x in the equation (x+7)(x-9) = 25.
balandron [24]

Answer:

x = 1  ±√89

Step-by-step explanation:

We have the equation:

(x+7)(x-9) = 25

Using distributive property:

x(x-9) + 7(x-9) = 25

x²- 9x + 7x - 63 -25 = 0

x²- 2x - 88 = 0

To complete squares we need to add and subtract 1, as follows:

x²- 2x - 88 +1 -1 = 0

x²- 2x +1 -88 -1 = 0    (this is a perfect square)

(x - 1)² - 89 = 0

Solving for x:

(x - 1)² = 89

x - 1 = ±√89

x = 1  ±√89

6 0
3 years ago
What is the perimeter of a square which has the same area as a circle with circumference of 4π?
Contact [7]
The circumference of a circle is given by: 2πr, where r is the radius of the circle. Equating 4π, we have 2πr = 4π so the radius of the circle is: r = 4/2 = 2. Then, the area of the circle is given by πr ^ 2 = π * (2 ^ 2) = 4π.Since the square and the circle have the same area, then: Let L be the side of the square, we have:  L ^ 2 = 4π, clearing L = 2 * (π ^ (1/2))The perimeter of a square is the sum of its sides:  P = L + L + L + L = 2 * (π ^ (1/2)) + 2 * (π ^ (1/2)) + 2 * (π ^ (1/2)) + 2 * (π) ^ (1/2))  P = 8 * (π ^ (1/2))
6 0
3 years ago
An Olympic-sized swimming pool holds 2,500,000 liters of water. How many gallons of water does an Olympic-sized swimming pool ho
tankabanditka [31]

Answer:

The Olympic sized swimming pool hold 660501.9 gallons of water.

Step-by-step explanation:

Given that:

Water hold by an Olympic sized swimming pool = 2500000 liters

We know that;

1 gallon = 3.785 liters

Therefore,

We will divide the total number of water in liters by 3.785 to find the number of gallons.

Gallons of water in pool = \frac{2500000}{3.785}

Gallons of water in pool = 660501.9 gallons

Hence,

The Olympic sized swimming pool hold 660501.9 gallons of water.

5 0
3 years ago
Find the total amount due on a simple-interest loan if the principal is $3000 with a rate of 5% for 10 years.
Korolek [52]
\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$3000\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
t=years\to &10
\end{cases}
\\\\\\
A=3000(1+0.05\cdot 10)\implies A=3000(1.5)
3 0
3 years ago
Which value is a solution to the inequality 2x − 5 < −12?
aleksandr82 [10.1K]
The correct answer would be -4

explanation:
2x-5<-12, add 5 to both sides so then you get 2x<-8, then divide by two, x<-4.
8 0
3 years ago
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