Which expression could represent a rational number? A. -b B. a + b C. ab D. b^2

slega [8]

This is the question that's gonna put me over the top and make me a Brainly Genius. Of course working for free doing middle school math homework doesn't really sound like a genius, but I'm doing it anyway.

This one is the Pythagorean Theorem of course:

$(x+3)^2 + (x+4)^2 = (x+10)^2$

$x^2 + 6x + 9 + x^2 + 8x + 16 = x^2 + 20 x + 100$

$x^2 - 6x - 75 = 0$

The Shakespeare Quadratic Formula (2b or -2b) is a little shortcut for the quadratic formula when the middle term is even.

$x^2-2bx+c \textrm{ has zeros } x=b\pm \sqrt{b^2-c}$

So we get

$x = 3 \pm \sqrt{3^2 -(-75)} = 3 \pm \sqrt{84} = 3 \pm 2 \sqrt{21}$

The minus root is less than -6 giving negative sides, so we reject it and conclude

$x = 3 + 2 \sqrt{21}$

Choice C

When I hit Add I officially become a Genius. Maybe I should retire.

8 0

3 years ago

1. 5 - 3/8

Ivanshal [37]

1. 4.625

2. 0.708

3. 8.75

4. -3.16

Hope it helps~

In Q.2 is it 22/3-11/8 or 2/3-11/8?

In Q.4 is it 41/3-21/6 or 1/3-21/6?

8 0

3 years ago

Read 2 more answers

Please help me with this question.

leonid [27]

Answer:

The answer would be 6.66666666667 to be exact or just 6.66.

-Herobrine

Brainliest will be appreciated thank you!

4 0

2 years ago

Read 2 more answers

5. The width of a row of identical townhouses,

Serjik [45]

Answer:

a. The value of the constant k is 21

b. The equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.

Step-by-step explanation:

a.

A proportional relationship satisfies the equation y = k * x, where k is a positive constant and is called a proportionality constant. In this case "x" is the number of terraced houses and "y" is the width of a row of identical houses.

The data you have is that the width of 5 townhouses are 105 feet. This means that the value of "x" is 5 houses and the value of "y" is 105 feet. By replacing in the equation y = k * x and isolating the constant k, you get:

105=k*5

$k=\frac{105}{5}$

k=21

So the value of the constant k is 21.

b.

As mentioned, the equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.

This means that just as "x" increases, "y" increases. And that if "x" decreases, "y" will decrease. And this relationship between "x" e "and" will always be the same, determined by the value of the constant "k".

7 0

3 years ago

On December 31, 2019, Akron, Inc., purchased 5 percent of Zip Company's common shares on the open market in exchange for $16,050

Anastaziya [24]

The amount reported for the investment in Zip Company by Akron's December 31, 2021, balance sheet is $143,400, which is the fair value of the Common Stock of Zip Company.

<h3>What is the fair value of an investment?</h3>

The fair value of an investment is the current value and not the historical cost when the investment was made.

Fair value refers to the intrinsic worth of an asset or security.

<h3>Data and Calculations:</h3>

Income Dividends Common Stock Akron's Investment

Declared Fair Value (12/31) in Zip Company

2019 $321,000 $16,050 ($321,000 x 5%)

2020 $79,000 $6,200 376,000 $94,000 ($376,000 x 25%)

2021 89,000 15,800 478,000 $143,400 ($478,000 x 30%)

Excess attributed to share of Zip's franchises = $33,350 ($143,400 - $110,050).

Thus, the amount reported for the investment in Zip Company by Akron's December 31, 2021, balance sheet is $143,400.

Learn more about the fair value of an investment at brainly.com/question/13219936

#SPJ1

5 0

1 year ago