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3 years ago

Find all the real square roots of -9/16

Mathematics

1 answer:

lakkis [162]3 years ago

4 0

Answer:

a. no real root

Step-by-step explanation:

sqrt(-9/16) has no real roots because negative numbers do not have two real numbers that are the same that multiply together to give a negative

-a * -a = a^2

a*a = a^2

There is no real number that gives -a^2

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Slope = -5 and Y -intercept (0,7)

ruslelena [56]

Your answer will be Slope m=-4/5

8 0

3 years ago

Find the distance between two points: (5,3),(8,5)

kozerog [31]

Answer:

$\displaystyle\boxed{\rm \: Distance= \underline{\underline{\sqrt{13}}}}$

OR in Decimal,

$\boxed{\rm \: Distance=\underline{\underline{3.605}}}$

Step-by-step explanation:

Given:

Two points, that is (5,3) & (8,5)

To Find:

The Distance of the two given points

Solution:

To Find the distance between two points, we will use the distance formula, i.e. :

$\boxed{ \rm \: Distance = \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } }$

According to the Question,

$\rightarrow \: \rm \: x_2 = 8$

$\rightarrow \: \rm \: x_1 = 5$

$\rightarrow \: \rm \: y_2 = 5$

$\rightarrow \: \rm \: y_1 = 3$

Now Substitute the values on the formula of Distance and then Simplify:

$\rm \: Distance= \sqrt{(8 - 5 )^{2} + (5 - 3) {}^{2} }$

[Follow PEMDAS rule while simplifying]

$\rm \: Distance= \sqrt{3 {}^{2} + 2 {}^{2} }$

$\rm \: Distance= \sqrt{(3 \times 3) + (2 \times 2)}$

$\rm \: Distance= \sqrt{9 + 4}$

$\rm \: Distance= \sqrt{13}$

$\rm \: Distance= {3.605}$

Hence, the distance between the two given points would be $\sqrt{13}$ or $3.605$ .

$\rule{225pt}{2pt}$

I hope this helps!

Have a good day! :)

[Desmos Graph solution is attached]

5 0

1 year ago

Find the values of a and b in the rhombus below.

loris [4]

Hello,

b = 26°
( 26° × 2 ) + 2a = 360°
52° + 2a = 360°
2a = 360° - 52° = 308°
a = 308° / 2 = 154°

5 0

2 years ago

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There are 6 equally sized slices in a pizza. If Ken eats 5 of the slices,

Ludmilka [50]

Answer:

Step-by-step explanation:

5 / 6 = 0.83333333...

0.833333...•100 = 83.333333...

83.3%

3 0

2 years ago

Read 2 more answers

A Building code allows a maximum of 140 people in a meeting room. There is one large table in the room along with some small tab

snow_lady [41]

Answer:

$15 + 5t = 140$

Step-by-step explanation:

Given

$Total = 140$

$Large = 1$

$Small = t$ --- unknown

Required

Equation that can be used to find t

1 large table can take 15 people and there is only one large table.

So, we have:

$L \to 15$

1 small table can take 5 people and there are t small tables.

So, we have:

$S \to 5t$

The room can accommodate 140 people.

So, we have:

$L + S = 140$

This gives:

$15 + 5t = 140$

The above expression can be used to determine the number of small tables

3 0

2 years ago

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