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4 years ago

Polynomial equation. How do I do distributive property?

Mathematics

1 answer:

MakcuM [25]4 years ago

4 0

You have to multiply each term by everything. For example if you have, (5z-6)(2z-4) the distributive property can be written out to help show what you have to do, if you write it as a step it would be 5z(2z-4)-6(2z-4). I hope this helps, good luck!

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(06.04 MC)

ratelena [41]

Answer:

54 sq units

Step-by-step explanation:

The triangle at the top (FAB) has a base of 10 and a height of 3. Area of triangle is 1/2bh so 1/2(10 * 3) = 1/2 * 30 = 15 sq units

If you cut off the triangle you have a trapezoid, EBCD. A trapezoid is (b1 + b2)/2 * h, so (6 + 7)/2 * 6 = 13/2 * 6 = 6.5 * 6 = 39 sq units

Add them together: 15 + 39 = 54 sq units

7 0

3 years ago

List the sides of triangle WXY in order from smallest to largest.

nataly862011 [7]

Answer:

Using the relation between angles and sides of any triangle the answer is:

Third option: WX, XY, YW

Step-by-step explanation:

<X=90° (right angle)

<W=51°

<Y=?

The sum of the interior angles of any triangle is 180°, then:

<W+<X+<Y=180°

Replacing the given values:

51°+90°+<Y=180°

141°+<Y=180°

Solving for <Y: Subtracting 141° both sides of the equation:

141°+<Y-141°=180°-141°

<Y=39°

The order of the angles from smallest to largest is:

<Y=39°, <W=51°, <X=90°

The opposite sides to these angles must be ordered in the same way:

Opposite side to <Y: WX

Opposite side to <W: XY

Opposite side to <X: YW

Then the order of the sides from smallest to largest is:

WX, XY, YW

6 0

4 years ago

<img src="https://tex.z-dn.net/?f=%20%5Clarge%7B%5Cbold%20%5Cred%7B%20%5Csum%20%5Climits_%7B8%7D%5E%7B4%7D%20%7Bx%7D%5E%7B2%7D%2

kiruha [24]

Answer:

No solution

Step-by-step explanation:

We have

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

For the sum it is not correct to assume

$\sum_{x=8}^{4}x^2= 8^2 + 7^2+6^2+5^2+4^2 = 64+49+36+25+16 = 190$

Note that for

$\sum_{x=a}^b f(x)$

it is assumed $a\leq x \leq b$ and in your case $\nexists x\in\mathbb{Z}: a\leq x\leq b$ for $a>b$

In fact, considering a set $S$ we have

$\sum_{x=a}^b (S \cup \varnothing) = \sum_{x=a}^b S + \sum_{x=a}^b \varnothing$ that satisfy $S = S \cup \varnothing$

This means that, by definition $\sum_{x=a}^b \varnothing = 0$

Therefore,

$\sum_{x=8}^{4}x^2 = 0$

because the sum is empty.

For

$9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

we have other problems. Actually, this case is really bad.

Note that $\cos^2(\infty)$ has no value. In fact, if we consider for the case

$\lim_{x \to \infty} \cos^2(x)$ , the cosine function oscillates between $[-1, 1]$ , and therefore it is undefined. Thus, we cannot evaluate

$9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

and then

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

has no solution

7 0

3 years ago

A post on the classifieds website Craigslist advertised a mountain bike selling for $944 less than its retail price. If this is

mariarad [96]

The price of the bike is 377.6

7 0

3 years ago

Read 2 more answers

Two fractions that have the sum of 4/5

beks73 [17]

1/5 and 3/5

Hope this helps!

3 0

3 years ago