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Brut [27]
3 years ago
15

Factor by grouping : xy + 6y - 2x - 12 (if you don't know the answer don't comment)

Mathematics
1 answer:
alexira [117]3 years ago
6 0
<h3> Hey There today we will solve your problem</h3>

First we will factor out y from xy+6y which gives us y(x+6)

Next we will factor out -2 from -2x-12 which gives us -2(x+6)

This gives us the equation

y(x+6)-2(x+6)

then factor out the common term  x+6<em> and we get</em>

<em />\left(x+6\right)\left(y-2\right)

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What is true about a figure dilated by a scale factor of 1
motikmotik
Just something that is true or are there choices? If just something true then dialated by 1 is always the same as the original shape.
4 0
3 years ago
Two trains travel at right angles to each other after leaving the same train station at the same time. Two hours later they are
Alex787 [66]

Answer:

15 miles per hour is the speed of the slower train.

Step-by-step explanation:

As given in the figure attached,

Let the speed of train 1 is v and train 2 is u.

Therefore, distance traveled in 2 hours by train 1 will be = 2v miles

and distance traveled by train 2 will be = 2u miles

Now we can see in the figure a right angle triangle is formed by the two trains.

AB² + BC² = AC²

(2v)² + (2u)²= (65.30)²

4v² + 4u² = 4264.09

Now we divide this equation by 4

v² + u² = 1066.02

If speed of the slower train is v miles per hour then as per statement of the question.

u = v - 14

v = u + 14

By putting the value of v in the equation

(u + 14)² + u² = 1066

u² + 196 + 28u + u² = 1066

2u² + 28u + 196 = 1066

2u² + 28u + 196 - 1066 = 0

2u² + 28u - 870 = 0

By diving this equation by 2

u² + 14u - 435 = 0

u² + 29u - 15u - 435 = 0

u(u + 29) - 15(u + 29) = 0

(u + 29)(u - 15) = 0

u = -29, 15

Since speed can not be with negative notation so u = 15 miles per hour will be the speed.

Therefore, 15 miles per hour is the speed of the slower train.

5 0
3 years ago
a map distance of 5 inches represents 200 miles of actual distance suppose the distance between two cities on the map is 7in wha
Lesechka [4]

5in : 200mi

7in : xmi

One inch represents 40 miles.

7 * 40 miles = 280 miles.


The two cities are 280 miles apart.

5 0
3 years ago
Read 2 more answers
How do you write 4.04bas a percent?
user100 [1]
It would be 404%

Hope this helps!
6 0
3 years ago
Answer this question!!!!!!!​
Vesnalui [34]

The expression can represent the value of x in terms of R, m, n and k after rearranging.

<h3>What is an expression?</h3>

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression is:

\rm R = 4m\sqrt{\dfrac{xn}{k^3}}

Square both side:

\rm R^2 = 16m^2{\dfrac{xn}{k^3}}

16m² x n = R²k³

x = (R²k³)/(16m²n)

The above expression represents the value of x in terms of R, m, n and k.

Thus, the expression can represent the value of x in terms of R, m, n and k after rearranging.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

8 0
2 years ago
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