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3 years ago

Basically im on lvl 2 for this Geometry question, need help!!

Mathematics

1 answer:

aniked [119]3 years ago

7 0

Answer:D.10x=150

wwww

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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

4 years ago

How many degrees is this?

gregori [183]

Looks like it’s about 160°

8 0

4 years ago

Read 2 more answers

15 is 30% of what number?

dangina [55]

#1---> let the number you are trying to find be x for the following questions

30%*x=15
x=15/30%
x=50

#2
10%*x=14
x=14/10%
x=140

#3
(4/32)*100
is the same as (1/8)*100= 12.5%

#4
1%* x=11
x=11/1%
x=1100

by the way * means multiply

5 0

3 years ago

Find the system determinant of the given matrix.<br><br>FAST please.

cricket20 [7]

Answer:

the answer is -30

Step-by-step explanation:

| 2 4 |

| 3 -9| = ( 2 * (-9) ) - ( 4 * 3)

= - 18 - 12

= -30

7 0

3 years ago

How do you find the Slope of a line?

UNO [17]

You find the slope of the line by using the formula $\frac{y2-y1}{x2-x1}$ where x1 and y1 is the first point, and x2 and y2 are the second point.

4 0

3 years ago

Read 2 more answers

Basically im on lvl 2 for this Geometry question, need help!!​

Basically im on lvl 2 for this Geometry question, need help!!