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3 years ago

Help me I have no idea how to do 18

Mathematics

1 answer:

sleet_krkn [62]3 years ago

5 0

First, subtract px2 from both sides.

Now you have:

x3 - px2 = (1 - p) x1

Next, divide both sides by (1 - p)

So now you have

x3 - px2/(1 - p) = x1

...as your final answer

*You can decide if you want to leave the parenthesis in your final answer, I left them there so it could be visible where I put them. :)

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What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following

skelet666 [1.2K]

For this case we have the following expression:

$x ^ 2-4x + 10 = 4x + 10$

We follow the steps below:

We subtract 4x on both sides of the equation:

$x ^ 2-4x + 10-4x = 4x + 10-4x\\x ^ 2-8x + 10 = 10$

We subtract 10 from both sides of the equation:

$x ^ 2-8x + 10-10 = 10-10\\x ^ 2-8x = 0$

Now, we must complete squares.

When we have an equation of the form:

$ax ^ 2 + bx + c = 0$ , if we want to complete squares we must subtract c on both sides of the equation obtaining:

$ax ^ 2 + bx + c-c = -c\\ax ^ 2 + bx = -c$

The square is completed by adding to both sides of the equation: $(\frac{b}{2})^{2}$

So, we have left:

$ax^2+bx + (\frac {b} {2})^{2} = - c + (\frac {b} {2}) ^ {2}$

In the given expression we have:

$a = 1\\b = -8\\c = 0$

And to complete the square we have:

$(\frac {b} {2}) ^ {2} = (\frac {-8} {2}) ^ {2} = 16$

Rewriting we have:

$x ^ 2-8x + 16 = 16$

We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:

$-4-4 = -8\\-4 * -4 = 16$

So, we have:

$(x-4) (x-4) = 16\\(x-4) ^ 2 = 16$

Answer:

The intermediate step is to complete squares

$(x-4) ^ 2 = 16$

7 0

3 years ago

Help pls all shaded parts need answers

pickupchik [31]

Answer:

x,x,12,12 ( for the paragraph part)

Step-by-step explanation:

7 0

2 years ago

Find the measures of all of the angles.

irga5000 [103]

Answer:

1. ABC = 60°

2. BCA = 90°

3. CAB = 30°

XVR = WVS = 125°

RVS = 55°

RST = VSU = 110°

RSV = UST= 70°

TUS = 39°

Step-by-step explanation:

According this is a Right Triangle ( BCA = 90°) and the sum angles of a triangle is 180° :

90+5x+9x+6=180

14x=84

x=6

Then we have : ABC = 9(6)+6 =60

CBA = 5(6)=30

b :

Given that the size of the opposite angles to a vertex are equal and the sum of the interior angles of a triangle is 180 degrees, the size of all angles can be easily found.

8 0

2 years ago

If Rachel now owes a quarter of the money that she once owed, what could you do to find how much money she owes now?

MakcuM [25]

Divide what she owed is the right answer

8 0

2 years ago

Read 2 more answers

Direct variation equation if f(x) varies directly with x and f(x)=-18 when x=3

JulsSmile [24]

F(x)=-6x
Work:
-18÷3=-6

5 0

2 years ago