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3 years ago

What is the solution to the equation square root x2 + 2x - 25 = square root x + 5

Mathematics

1 answer:

Arturiano [62]3 years ago

7 0

Solutions to the equation are 5, -6

Step-by-step explanation:

Step 1: Equation is √(x² + 2x - 25) = √(x + 5). Square both sides to simplify the equation

⇒ x² + 2x - 25 = x + 5

⇒ x² + x - 30 = 0

⇒ x² + 6x - 5x - 30 = 0

⇒ x(x + 6) - 5(x + 6) = 0

⇒ (x - 5)(x + 6) = 0

⇒ x = 5, -6

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Simplify the following expression. 4.5908 divided by 0.998

lyudmila [28]

Answer:

4.6

Step-by-step explanation:

Hope this helps.

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3 years ago

If the length of a side of an<br> equilateral triangle is x, what is half of the perimeter?

nataly862011 [7]

Answer:

3/2 x

Step-by-step explanation:

length of a side of an equilateral triangle is x

The perimeter is

P = 3s where s is the side length

P = 3x

1/2 of the perimeter

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3 years ago

Sara drove 96 miles on 3.2 gallons of gas. How many miles can Sara drive on 12.5 gallons of gas

Blababa [14]

Answer:

375 miles

Step-by-step explanation:

Create a proportion where x is the number of miles she can drive on 12.5 gallons of gas:

$\frac{96}{3.2}$ = $\frac{x}{12.5}$

Cross multiply and solve for x:

3.2x = 1200

x = 375

So, with 12.5 gallons of gas, Sara can drive 375 miles

4 0

3 years ago

Read 2 more answers

A triangle has an area of 10 square feet. The height is 5 feet. What is the length of the base (in feet)?

Nady [450]

Answer:

4 ft

Step-by-step explanation:

$A=\frac{1}{2} bh$

A=10 h=5

$10=\frac{1}{2} b(5)\\$

20=5b (multiply both sides by 2)

4=b (divide by 5)

7 0

3 years ago

Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you d

Sunny_sXe [5.5K]

Answer:

It will take 88.2 months to accumulate the amount

Step-by-step explanation:

Given;

Future value of money, FV = $25,000

investment per compound period, P = $200

interest rate, i = 0.75% x 12 = 9%

The number of monthly installments required to amount to FV is given by;

$n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months$

Therefore, it will take 88.2 months to accumulate the amount.

7 0

3 years ago