a triangle has two sides of length 6 and 3. what is the smallest possible whole number length for the third side?

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

In the figure, angle D measures 127° and angle A measures 75°.

almond37 [142]

Angles C and D are supplementary, or they add up to 180.

b = 180 - 75 - (180 - 127)

Hope this helps!

4 0

2 years ago

Read 2 more answers

What is the slope of the line in the graph?

katrin [286]

Answer:

a,b,d

Step-by-step explanation:

because

8 0

2 years ago

What is the answer for <br><br> 2ab(xa^9+ya^3-6)

trapecia [35]

The answer for 2ab(xa^9+ya^3-6) is 2a^10bx + 2a^4by-6ab.

What is the mathematical expansion?

A mathematical expansion can be described as the finite combination of symbols which can be seen as one having rules which is usually based on the context that is been used.

The solution for the question is 2a^10bx + 2a^4by-6ab

Therefore, the expansion of 2ab(xa^9+ya^3-6) is 2a^10bx + 2a^4by-6ab.

Learn more about expansion at:

brainly.com/question/723406

8 0

2 years ago

A group of students are planning a mural at a wall the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning

zvonat [6]

Answer: $46x^2+73x+15$