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egoroff_w [7]
3 years ago
10

ASAP!!!! 10 POINTS!!!!

Mathematics
1 answer:
S_A_V [24]3 years ago
3 0

Completing the Square

2. Solve the equation by completing the square. Show your work.

x^2 – 30x = –125

Step 1: Add to both sides of the equation. (2 points)

Add 225 both sides of the equation

x^2 – 30x + 225 = –125 + 225

x^2 - 30x + 225 = 100

Step 2: Factor the left side of the equation. Show your work. (2 points)

Hint: It is a perfect square trinomial.


x^2 - 30x + 225 = 100


Factor the left side of the equation:

(x - 15)^2 = 100

Step 3: Take the square root of both sides of the equation from Step 2. (1 point)

√(x - 15)^2 = √100


Step 4: Simplify the radical and solve for x. Show your work. (1 point)

x - 15 = + - 10


x - 15 = 10

x = 25


x - 15 = -10

x = 5


Solutions x = 25, 5

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What is the opposite of l3l
tatuchka [14]

The opposite of |3| = - |3|

What is Modulus Function?

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

  •    If x is positive, then f(x) = x
  •    If x = 0, then f(x) = 0
  •    If x < 0, then f(x) = -x

Given data ,

Let the number be x

x = |3|

Now , the opposite of the number x = -x

So ,

The opposite of |x| = -|x|

And ,

The opposite of |3| = - |3|

Hence , The opposite of |3| = - |3|

To learn more about modulus function click :

brainly.com/question/13682596

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6 0
1 year ago
How do you solve 28-2.2x=11.6x-54.8??
malfutka [58]
28 - 2.2x = 11.6x - 54.8
28 + 54.8 = 11.6x + 2.2x
82.8 = 13.8x
82.8 / 13.8 = x
6 = x
or x = 6 
6 0
2 years ago
If joe travels 434 miles in 7 hours, how far will he travel in 10 hours at the same speed?
Nookie1986 [14]

He travels 620miles at the same speed.

Given that joe travels 434 miles in 7 hours.

An object's speed is determined by how quickly it moves. It is the distance a body travels in one unit of time.

Firstly, we will find the speed when the distance is 434 miles and the time is 7 hours by using the formula

Speed=Distance/Time

Substitute the values in the formula, we get

Speed=434miles/7 hours

Speed=62 miles/hour

Now, we will find the distance when time is 10 hours, we get

62=distance/10

Multiply both sides by 10, and we get

62×10=(distance/10)×10

620miles=distance.

Hence, in 10 hours at the same speed, he travels when joe travels 434 miles in 7 hours is 620miles.

Learn more about speed from here brainly.com/question/10113134

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7 0
1 year ago
PLEASE HELP ILL GIVE BRAINLIEST
Art [367]

Answer: 10

Step-by-step explanation:

count the dots from number 2 and below

6 0
2 years ago
Read 2 more answers
Based on the side lengths given (a, b, and c), which triangles are right triangles?
Mekhanik [1.2K]

Answer:

B & C

Step-by-step explanation:

Use the Pythagorean Theorem:   a^2 + b^2 = c^2

A) 18^2 + 24^2 = 2,088   |   42^2 = 1,764     [NOT A]

B) 33^2 +56^2 = 4,225   |   65^2 = 4,225     [B IS CORRECT]

C) 19^2 + 180^2 = (32,761) = 181^2 = (32,761)     [C IS CORRECT]

D) 3^2 + 4^2 = 25  |   7^2 = 49     [NOT D]

I hope this helped you ! In return, please deem this the most brainliest answer.

7 0
3 years ago
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