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4 years ago

ASAP!!!! 10 POINTS!!!!

Mathematics

1 answer:

S_A_V [24]4 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 16 percent of 4?

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Answer:

0.64

Step-by-step explanation:

% besically means out of 100 so:

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How many 150 mL glasses can I fill with 5 bottles of soft drinks each hold 1.2 L

Liono4ka [1.6K]

Answer:

<h2>you can fill 40 (150ml) glasses with 5 bottles of soft drinks</h2>

Basic fact:

<em>there are 1000 ml in a litre</em>

Step-by-step explanation:

let us do

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3 years ago

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What are the values of x in the equation x2 - 6x + 9 = 25?

hjlf

Answer:

x= -2 or x= 8

Step-by-step explanation:

$x^{2} - 6x + 9 = 25$

First step, move 25 to the left side so we can do the Quadratic Formula (or you can factor instead.)

$x^{2} -6x + 9 - 25 = 0$

Next, we know that 9-25 equals -16.

$x^{2} - 6x - 16 = 0$

Now find that what two numbers multiply and get 16: 2×8 4×4 and 16×1.

Now we do some kind of factoring. The most valuable number must be negative since -6x is negative.

Let's explain about factoring in Quadratic a little bit.

Substitue x²-6x-16 as ax²+bx+c=0

From (ax+d)(bx+c), if we multiply ax and bx, we get the ax²

If we multiply ax and c, we get acx and we multiply d and bx, we get dbx. (axc+bdx) = bx

If we multiply d and c, we get c.

From the factor lf 16, 2×8 seems to be right since -8+2 equals -6 which matches the equation.

Then we get.

$(x - 8)(x + 2) = 0$

Seperate both equations.

$x - 8 = 0 \\ x + 2 = 0$

Find the value of both x.

$x = 8 \\ x = - 2$

The answer is x = -2, 8

(The explanation might be weird since I don't know what they are called in English.)

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Step-by-step explanation:

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