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3 years ago

Simplify: (12x3y4)(5x6y3)

Mathematics

2 answers:

grigory [225]3 years ago

4 0

This should be the answer I broke it down for you.

maw [93]3 years ago

4 0

Answer:

60x^9 y^7

Step-by-step explanation:

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grigory [225]

For this case, what we must do is find the scale factor.
We have then that the scale factor is given by:
$k = \frac{L1}{L2}$
Where,
L1: side length of polygon ABCD
L2: side length of polygon PQRS
Note: both sides belong to the same side of each polygon
Substituting the values we have:
$k = \frac{6}{12}$
Rewriting we have:
$k = \frac{1}{2}$
Answer:
The scale factor of dilation is given by:
$k = \frac{1}{2}$

3 0

3 years ago

Read 2 more answers

What is the slope of line a? <br><br>

emmainna [20.7K]

<h3>Answer: -1/4 (choice C)</h3>

========================================================

Explanation:

Start at the point (0,1). This is the y intercept, which is where the graph crosses the y axis.

Then move down 1 and over to the right 4 spaces. We arrive at (4,0) which is the x intercept.

The process of "down 1, over to the right 4" can be thought of like this

rise/run = -1/4

rise = -1

run = 4

A rise of -1 indicates we go down 1 unit

The run of 4 means we move to the right 4 units

So that's why slope = rise/run = -1/4

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Here's another approach using the slope formula:

m = (y2-y1)/(x2-x1)

m = (0-1)/(4-0)

m = -1/4

I used the two points (0,1) and (4,0) as (x1,y1) and (x2,y2) respectively. This formula basically says "subtract the y coordinates, subtract the x coordinates in the same order, then divide the differences y over x".

-------------------------------------------------------

Side note: The line moving downhill, as we read from left to right, indicates a negative slope.

5 0

2 years ago

75g of flour and 135 ml of milk are used to make 12 biscuits. How much flour is needed to make 30 biscuits?

Alik [6]

The answer is 187 1/2 cups. You have to divide 75 by 12 to get how much flour is in 1 biscuit and you multiply that by 30

3 0

3 years ago

A garden measuring 9 meters by 4 meters is going to have a walkway constructed all around the perimeter, increasing the total ar

marysya [2.9K]

Answer:

3 metres

Step-by-step explanation:

Let the width of the pathway be x

Area: (9+2x)(4+2x)

36 + 8x + 18x + 4x²

4x² + 26x + 36

Increased area is 150:

4x² + 26x + 36 = 150

4x² + 26x - 114 = 0

2x² + 13x - 57 = 0

2x² + 19x - 6x - 57 = 0

x(2x + 19) - 3(2x + 19) = 0

(x - 3)(2x + 19) = 0

x = 3, x = -19/2

4 0

3 years ago

Read 2 more answers

Are the following expressions equivalent? Why or why not? <br> 6(2x + 4) and 12x + 24

MrMuchimi

Answer: Yes

Step-by-step explanation:

When using the distributive property, 6(2x + 4) becomes 12x + 24

6 * 2x = 12x and 6 * 4 = 24

12x + 24 = 12x + 24

Therefore, the expressions are equivalent.

8 0

3 years ago