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2 years ago

What is the mathematical reasoning for Step 3?

Mathematics

1 answer:

Colt1911 [192]2 years ago

4 0

Based on the operation in step 3, the mathematical reasoning that we see is the Associative property.

<h3 /><h3>What is the reasoning in step 3?</h3>

Step 2 was:

= 3/4x (-8x) + (3/4x) (6)

Step 3 then became:

3/4 x (-8) × x × x + 3/4 x 6x

This shows the associative property because the numbers were regrouped but because they are being multiplied by each other, the result will not change.

Find out more on the associative property at brainly.com/question/13181.

#SPJ1

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Evaluate x2 + 3x – 7+ 8 when x = 4.

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

Since they have given you x = 4, simply sub it into the equation,

(4)^2 + 3(4) - 7 + 8

= 29

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3 years ago

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Solve the equations for all values of x by completing the square x^2+62=-16x

lorasvet [3.4K]

Answer:

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Step-by-step explanation:

To complete the square, we first have to get our equation into $ax^2 + bx = c$ form.

First we add 16x to both sides:

$x^2 + 16x + 62 = 0$

And now we subtract 62 from both sides.

$x^2 + 16x = -62$

We now have to add $(\frac{b}{2})^2$ to both sides of the equation. b is 16, so this value becomes $(16\div2)^2 = 8^2 = 64$ .

$x^2 + 16x + 64 = -62+64$

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because $8\cdot8=64$ and $8+8=16$ .

$(x+8)^2 = -62 + 64$

We can now take the square root of both sides.

$x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}$

We can now isolate x on one side by subtracting 8 from both sides.

$x = \pm\sqrt{2} - 8$

So our solutions are

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Hope this helped!

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3 years ago

Kate has gone up to the chalkboard to do math problems 5 more times than Andre. Kate has gone up 11 times. Which equation repres

balandron [24]

B, because it says she has gone up 5 times Andre (a).

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3 years ago

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What is the height of this triangle?

zavuch27 [327]

Answer:

XY (height) is approximately 20.8 feet

Step-by-step explanation:

let h = XY

tan60° = h/12

h = 12·tan60°

h = 20.78 ft

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3 years ago

Vector v is plotted below. What is the length of the x-component of v?

Rzqust [24]

Answer:

C. 1

Step-by-step explanation:

We can see that each box in the grid is one unit.

We count one box to the right on the horizontal axis and 4 boxes down on the vertical axes to obtain the components of vector v.

See graph in attachment.

Therefore the components of vector v is

$\binom{1}{-4}$ .

The length of the x component is 1 unit

Hence the correct answer is C.

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3 years ago