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Ivan
3 years ago
9

Which is the first step in simplifying the expression?

Mathematics
2 answers:
Neko [114]3 years ago
6 0
Easy, multiply the expression by 2+divided by 2 over 3

In any other case, its D
Elenna [48]3 years ago
5 0
\dfrac{3}{2 +  \sqrt{2} }

To rationalise the denominator, this is a standard step:
= \dfrac{3}{2 + \sqrt{2} } \times  \dfrac{2 - \sqrt{2}}{2 - \sqrt{2}}

Answer: Option A

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

Let me continue to complete the question, though it is not ask for

= \dfrac{3(2 - \sqrt{2})}{(2 + \sqrt{2)}(2 - \sqrt{2}) }

= \dfrac{3(2 - \sqrt{2})}{4 - 2 }

= \dfrac{6 - 2\sqrt{2}}{2 }
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Find the highest common factor of 55 and 605
Arlecino [84]

Answer:

55

Step-by-step explanation:

Factors for 605: 1, 5, 11, 55, 121, and 605

Factors for 55: 1, 5, 11, and 55

So the highest common factor they have is 55.

HCF = 55

4 0
3 years ago
Sweets are sold loose or pre packed in 120 G bags. The 120 G bags are 1.49 pounds each By calculating the price per gram determi
Karo-lina-s [1.5K]

Complete question :

Sweets are sold loose, or pre-packed in 120g bags.The 120g bags are £1.49 each.The loose sweets are £0.89 for 100g.

By calculating the price per gram, determine which is better value.

Answer:

100 g bag

Step-by-step explanation:

For the 120g bag:

Price per gram :

Price / Numbe of gram

1.49 / 120 = 0.0124 gram per bag

For the 100 g bag :

0.89 / 100

= $0.0089per gram

Since $0.0089 is < $0.0124

Then the 100g bag is of better value

8 0
2 years ago
A die is loaded in such a way that the probability of each face turning up is proportional to the number of dots on that face. (
Nina [5.8K]

Answer:

simple, divide the number by two, round as needed. 6=3x as normal, 5=2.5x as nromal, etc.

Step-by-step explanation:

6 0
3 years ago
(-6x-2) - (-3x+5)= -24x+14<br><br> Could someone show me the work for this
lesya692 [45]
(-6x-2)-(-3x+5)= -24x+14
-6x-2+3x-5=-24x+14
-3x-7=24x+14
—       —
-3x      -3x

6 0
3 years ago
For each of the following, state the equation of a perpendicular line that passes through (0, 0). Then using the slope of the ne
Irina-Kira [14]

Answer:

Below in bold letters.

Step-by-step explanation:

a. y = 3x - 1.

The equation of the perpendicular line will have slope -1/ 3.

So we have the equation y - y1 = -1/3(x - x1)  where (x1, y1) is a point on this perpendicular line.

As the line passes through (0,0):

y - 0 = 1/3(x - 0)

y = -1/3x is the required equation.

If  x,4 is on the line then x  is found by substituting for y:

4 = -1/3 x

x = 4 / -1/3

x = 4*-3 = -12.

b. y = 1/4x + 2

By the same method as in part a:

the equation is y = -4x.

x = 4 / -4 = -1.

3 0
3 years ago
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