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Over [174]
3 years ago
9

PLEASE HELP:

Mathematics
2 answers:
puteri [66]3 years ago
8 0
3x^2 + 11x - 4 = 0

x^2 + (11/3)x = 4/3

(x+11/6)^2 = 169/36

Answer is B.

Charra [1.4K]3 years ago
5 0

Answer:

(x +\frac{11}{6})^2=\frac{169}{36}

Step-by-step explanation:

3x^{2} +11x-4=0

Divide the whole equation by 3

x^{2} +\frac{11}{3}x-\frac{4}{3}=0

Shift the constant term to the other side

x^{2} +\frac{11}{3}x=\frac{4}{3}

Add and subtract the square of half of the coefficient of  x

x^{2} +\frac{11}{3}x+(\frac{11}{6})^2-(\frac{11}{6})^2=\frac{4}{3}

Using identity : a^2+2ab+b^2 =(a+b)^2

(x +\frac{11}{6})^2-\frac{121}{36}=\frac{4}{3}

(x +\frac{11}{6})^2=\frac{4}{3}+\frac{121}{36}

(x +\frac{11}{6})^2=\frac{169}{36}

Hence Option B is correct . (x +\frac{11}{6})^2=\frac{169}{36}

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What is the solution to 7 × p = -56? A. -49 B. -8 C. 8 D. 49
Serga [27]

Answer:

-8

Step-by-step explanation:

Hello!

What we do to one side of the equation we do to the other side

7 * p = -56

Divide both sides by 7

p = -8

The answer is -8

Hope this helps!

4 0
3 years ago
Given g(x) = x^2-x , find g(2/3).<br><br> show work please
castortr0y [4]
I hope this helps you



x=2/3



g (2/3)=(2/3)^2-2/3



g (2/3)= 4/9-2.3/3.3



g (2/3)=4/9-6/9



g (2/3)= -2/9
7 0
2 years ago
A student bought 34 pencils for school.If he sharpened 16 of the pencils before school, what is his ratio of un-sharpened pencil
Diano4ka-milaya [45]
16/34, ratio is other words of fraction, also means 16out of 34
5 0
3 years ago
Read 2 more answers
Solve pls brainlies
MrRa [10]

Answer:

2) 11

3) 21

4) 7

Step-by-step explanation:

2) (-6) -(-17) = 17 - 6 = 11

3) 19 - (-2) = 19 + 2 = 21

4) (-13) + 20 = 20 - 13 = 7

6 0
2 years ago
Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: \frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3} square units

(22)

Similar to (21)

Area = 216\sqrt{3} square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

altitude=\frac{\sqrt{3}}{2}*side

side = \frac{36}{\sqrt{3}}

Hence, area of the hexagon will be: 648\sqrt{3} square units

(24)

Given is the inradius of an equilateral triangle.

Inradius = \frac{\sqrt{3}}{6}*side

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = \frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3} square units

4 0
3 years ago
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