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patriot [66]
4 years ago
13

Simplify (1-√3) (1÷3+√3) leaving your answer in the form p+q√3

Mathematics
1 answer:
wolverine [178]4 years ago
4 0

Answer:

  1-\dfrac{2}{3}\sqrt{3}

Step-by-step explanation:

Maybe you want to simplify ...

  (1-\sqrt{3})\dfrac{1}{3+\sqrt{3}}

Multiply numerator and denominator by the 'conjugate' of the denominator:

  (1-\sqrt{3})\dfrac{1}{3+\sqrt{3}}\cdot\dfrac{3-\sqrt{3}}{3-\sqrt{3}}=\dfrac{(1-\sqrt{3})(3-\sqrt{3})}{9-3}=\dfrac{3-4\sqrt{3}+3}{6}\\\\\boxed{1-\dfrac{2}{3}\sqrt{3}}

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3/4 of a piece of metal has a mass of 15kg.what is the mass of 2/5 of the piece of metal
olga2289 [7]
3/4=15
let,
total mass is x
x=4×15/3
=20 kg
so, total mass = 20 kg

=2×20/5
=2×4
=8 kg

Hope this helps!
8 0
3 years ago
Which polynomial function has zeros at 2, −4, and 1?
LuckyWell [14K]

Answer:

y = (x - 2)(x + 4)(x - 1)

Step-by-step explanation:

Given the zeros of a function say x = a and x = b, then

The factors are (x - a) and (x - b) and

y = (x - a)(x - b)

Given the zeros are x = 2, x = - 4, x = 1, then

the factors are (x - 2), (x - (- 4)) and (x - 1), that is

(x - 2), (x + 4), (x - 1) , thus

y = (x - 2)(x + 4)(x - 1)

6 0
3 years ago
Read 2 more answers
Defining congruent triangles
seropon [69]

Answer:

E -->R

D-->K

O-->O

Step-by-step explanation:

Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.

Here Angle E corresponds and is congruent to Angle R in these congruent triangles.

Angle D is congruent and corresponds to Angle K for these congruent triangles.

Angle O is equal to Angle O as they are vertical angles across a vertex.

5 0
3 years ago
What is the area of this figure?
Elanso [62]
First of all we can draw a parallel line to divide the figure into a triangle and a rectangle as shown in the figure. To find the area of our rectangle, remember that the area of a rectangle is length times width, so A_{r} =lw. Since we know for our figure that the length and width of our rectangle are 13cm and 6cm respectively, lets replace those values in our formula to get its area:
A _{r} =(13cm)(6cm)
A=78cm^{2}
Similarly, the area of a triangle is one half times base times height, so At=( \frac{1}{2})bh. Since we know that our base is 8cm and our height 6cm, lets replace those values in our equation to find the area of our triangle:
A_{t} =( \frac{1}{2})(8cm)(6cm)
A_{t} =24cm^{2}

Now the only thing left is add our areas:
 A_{total} =78cm^{2}+24cm^{2}  =102cm^{2}

We can conclude that the correct answer is <span>A. 102</span>

4 0
3 years ago
A cone has a base area of 8 cm^2 and a height of 3.8 cm. What is the volume of the cone?
Nitella [24]
The answer is:  30.4 cm³ .
________________________________________________________

The volume = Base Area * height = (8 cm²) * (3.8 cm) = 30.4 cm³ .
________________________________________________________



3 0
3 years ago
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