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3 years ago

Are the fractions 9/6 and 6/4 equivalent?

Mathematics

2 answers:

Xelga [282]3 years ago

3 0

No they are not because 9/6 cannot be reduced to 6/4

jolli1 [7]3 years ago

3 0

Answer: 9/6 and 6/4 are equivalent

Step-by-step explanation:

If you simply 9/6, you get 1 3/6

Simplify 6/4, you get 1 2/4

3/6 and 2/4 both equal 1/2, so 9/6 and 6/4 both equal 1 1/2. Therefore, they are equivalent.

Hope this helped ;D

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Find the perimeter of the triangle with vertices A(negative 2,2,3), B(4,negative 4,3), and C(7,6,4).

gayaneshka [121]

Answer:

$P\approx 28.872\,\text{units}$

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

for the side AB: A(-2,2,3) and B(4,-4,3)

$AB = \sqrt{(-2-4)^2+(2-(-4))^2+(3-3)^2}$

$AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}$

$AB = \sqrt{72}$

for the side BC: B(4,-4,3) and C(7,6,4)

$BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}$

$BC = \sqrt{110}$

for the side CA: C(7,6,4) and A(-2,2,3)

$CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}$

$CA = \sqrt{98}$

Now we all the sidelengths:

to find the perimeter we need to just sum the three side lengths:

$P = AB + BC + CA$

$P = \sqrt{72} + \sqrt{110} + \sqrt{98}$

$P\approx 28.872\,\text{units}$

this is the perimeter of triangle ABC

6 0

4 years ago

Given that<br> 4x : 3= 11 : 5 Calculate the value of x<br> .

AleksAgata [21]

Step-by-step explanation:

$1 \frac{13}{20}$

$4x \3 = 11 \5 \\ \\ 20x = 33 \\ x = 33 \div 20 \\ = 1 \frac{13}{20}$

3 0

3 years ago

What is √-11 in the form a+bi?

Mice21 [21]

Given:

The number is $\sqrt{-11}$ .

To find:

The a+bi form of given number.

Solution:

We have,

$\sqrt{-11}$

It can be written as

$\sqrt{-11}=\sqrt{-1\times 11}$

$\sqrt{-11}=\sqrt{-1}\times \sqrt{11}$ $[\because \sqrt{ab}=\sqrt{a}\sqrt{b}]$

$\sqrt{-11}=i\times \sqrt{11}$ $[\because \sqrt{-1}=i]$

$\sqrt{-11}=\sqrt{11}i$

Here, real part is missing. So, it can be taken as 0.

$\sqrt{-11}=0+\sqrt{11}i$

So, a = 0 and $b=\sqrt{11}$ .

Therefore, the a+bi form of given number is $0+\sqrt{11}i$ .

5 0

3 years ago

The function f(x) = -5x2 + 13x + 6 represents the height, in meters, of a

AnnZ [28]

Answer:

Step-by-step explanation:

Differentiate the function and set it to zero:

f'(x) = -10x + 13

0 = -10x + 13

x = 1.3 seconds

Plug the x value into f(x):

f(1.3) = -5(1.3)^2 + 13(1.3) + 6 = 14.45 meters

8 0

3 years ago

Cards are selected from a standard deck of 52, the results are recorded in the table. what is the empirical probability of not s

Cerrena [4.2K]

The table have the following results:

Hearts – 7

Diamonds – 4

Clubs – 8

Spades – 5

There is a total of 24

The question is asking for the probability of not selecting a heart.

So we need to add the probabilities of the diamonds, clubs, and spades since these suits are different from hearts.

So = 4 + 8 + 5 = 17

And we have a total of 24 cards

<span>Therefore the probability is 17/24. </span>

7 0

3 years ago