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USPshnik [31]
3 years ago
13

Which of the following is the product of the rational expressions shown below?

Mathematics
1 answer:
MrMuchimi3 years ago
8 0

Answer:

D

Step-by-step explanation:

\frac{3x}{x+2}*\frac{x}{x-1}=\frac{3x^2}{x^{2}+(2-1)x+(2)*(-1)}\\\\=\frac{3x^{2}}{x^{2}+x-2}

Use the formula: (x+a)(x+b)= x^2+(a+b)x+ab

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Write the formula for a function d(x) that describes the distance between the point P and a point (x,y) on the line. You final a
vlabodo [156]

Answer:

d(x) = √[(x - 2)² + (3x - 1)²]

Step-by-step explanation:

The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

So, the distance between point (2,0) and a point (x,y)

d = √[(x - 2)² + (y - 0)²]

d = √[(x - 2)² + (y)²]

But the point (x,y) is on the line y = 3x - 1

We can substitute for y in the distance between points equation.

d(x) = √[(x - 2)² + (3x - 1)²]

QED!

6 0
3 years ago
Harry worked 7 hours last week. This is 1__3as many hours as Aidan worked. How many hours did Aidan work?
vitfil [10]

Answer:

21

Step-by-step explanation:

1/3= 0.33

7/0.33

7 0
3 years ago
Help QUICKLY.
mel-nik [20]

Hope this helps!!!!!!!!!

3 0
3 years ago
Bags of sugar come in 3 sizes. Small bag: A 175 g bag costs 45p. Medium bag: A 420 g bag costs £1.13. Large bag: A 1.2 kg bag co
kotegsom [21]

Answer:

a 3.889

b 3.735

c 4.013

Step-by-step explanation:

a. 45p is 0  175/45=3.889

b  420/113= 3.735

c1.2kg= 1200g /299 =4.013

/ means divide

4 0
3 years ago
Which of the following equations can be used to find the length of angle LN in the triangle below?
shtirl [24]

Answer:

Option A. LN^{2}=33^{2}-11^{2}

Step-by-step explanation:

we know that

In the right triangle MNL

Applying the Pythagoras Theorem

MN^{2}=ML^{2} +LN^{2}

substitute the values

33^{2}=11^{2} +LN^{2}

LN^{2}=33^{2}-11^{2}

5 0
4 years ago
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