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Radda [10]
3 years ago
9

Apply the distributive property to create an equivalent expression. −9⋅(5j+k)

Mathematics
2 answers:
marshall27 [118]3 years ago
8 0

Answer:

45j + -9k

Step-by-step explanation:

disa [49]3 years ago
4 0

Step-by-step explanation:

step one: *multiply the negative 9 with the 5j.

which which will come out to be -45j

step 2: now now multiply the -9 with the k. which it comes out to be negative 9k.

step 3: -45j + -9k

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Explain why all of these expressions have the same value. 4500÷90 450÷9 45÷0.9 4.5÷0.09
kramer

Answer:

The only thing that is changing in the equations is the placement of the decimal.

Step-by-step explanation:

8 0
3 years ago
Simplify: -1-(-10x-10)​
Pepsi [2]

Answer:

10x + 9

Step-by-step explanation:

-1 - (-10x - 10)

Distribute.

-1 + 10x + 10

10x + 9

6 0
3 years ago
The quotient of 794.1 divided by 7.61, expressed to two decimal places, is A. 104.35. B. 95.83. C. 786.49. D. 1,043.50.
AysviL [449]
<span>The question asks us to find the quotient of 794.1 by 7.61, expressed to two decimal places. First we will divide those two numbers: 794.1 : 7.61 = 104.34954. Then we have to round the result to the 2 decimal places. After 104.34 is 9 so we have to round the number to 104.35. Answer: The quotient is 104.35.</span>
3 0
3 years ago
Regular hexagon ABCDEF has vertices at A(4, 4!3), B(8, 4!3), C(10, 2!3), D(8, 0), E(4, 0) and F(2, 2!3).
marissa [1.9K]

Since the given hexagon is a regular hexagon all it's sides will be of equal length. Now, we know that the Area of any regular hexagon is given by:

A=\frac{3\sqrt{3}}{2} a^2

Where A is the area of the regular hexagon

a is the side length of the regular hexagon

Also, it's Perimeter is given by:

P=6a

Thus, all that we need to do is to find the side length of any one of the sides and to do that let us have a look at at the data of vertices points given and find out which points are definitely adjacent to each other and are also easy to calculate.

A quick search will yield that D(8, 0) and E(4, 0) are definitely adjacent to each other.

Please check the attached file here for a better understanding of the diagram of the original regular hexagon. Points D and E indeed are adjacent to each other.

Let us now find the distance between the points D and E using the distance formula which is as:

d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

Where d is the distance.

(x_1,y_1) and (x_2,y_2) are the coordinates of points D and E respectively. (please note that interchanging the values of the coordinates will not alter the distance d)

Applying the above formula we get:

d=\sqrt{(8-4)^2+(0-0)^2} =\sqrt{4^2}=4

\therefore d=4

We know that this distance is the side length of the given regular hexagon.

\therefore d=a=4

Now, if the sides of the given regular polygon are reduced by 40%, then the new length of the sides will be:

a_{small}=4-\frac{40}{100}\times 4=2.4

Thus, the area of the smaller hexagon will be:

A_{small}=\frac{3\sqrt{3}}{2} a_{small}^2=\frac{3\sqrt{3}}{2} (2.4)^2\approx14.96 unit squared

and the new smaller perimeter will be:

P_{small}=6a_{small}=6\times 2.4=14.4 unit

Which are the required answers.

5 0
3 years ago
The area of a rectangular ceiling tile is 234 square inches. The perimeter is 62 inches. What are the dimensions of the tile?
saveliy_v [14]
I answered this using trial and error, so let me know if you need workings, but I got the dimensions as 18 inches and 13 inches.

I hope this helps!
3 0
3 years ago
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