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3 years ago

The sixth grade went to the museum for a field trip. There

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

8 0

28%
Surztisitstoxgztuatisiyxiysits

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Solve using quadratic formula<br> 6x^2-x=2

Nadya [2.5K]

$6x^2-x=2\implies 6x^2-1x-2=0 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{6}x^2\stackrel{\stackrel{b}{\downarrow }}{-1}x\stackrel{\stackrel{c}{\downarrow }}{-2}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}$

$x = \cfrac{ -(-1) \pm \sqrt { (-1)^2 -4(6)(-2)}}{2(6)}\implies x = \cfrac{1\pm\sqrt{1+48}}{12} \\\\\\ x = \cfrac{1\pm\sqrt{49}}{12}\implies x = \cfrac{1\pm 7}{12}\implies x = \begin{cases} \frac{8}{12}\to &\frac{2}{3}\\[1em] -\frac{6}{12}\to &-\frac{1}{2} \end{cases}$

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3 years ago

Is y=x a proportional linear equation

Dmitry [639]

Answer: yes.

Step-by-step explanation:

7 0

3 years ago

Soft drinks are being purchased in case of 24. If there are 1008 soft drinks to packed,how many cases are needed?

galben [10]

Answer:

42 Cases.

Step-by-step explanation:

1008 divided by 24 = 42

7 0

3 years ago

Help ASAP!! Geometry -

horrorfan [7]

Answer:

x = 9.27 cm

Volume = 289.2 cm³

Step-by-step explanation:

SA = Surface Area

SA = 229.2 cm²

P = Perimeter of Base

P = 3(6)

P = 18 cm

H = Height of Solid

H = x

A = Area of Base(Equilateral Triangle)

A = 6²√3 / 4

A = 36√3 / 4

A = 9√3

A = 9(1.732)

A = 31.176

A = 31.2 cm²

SA = Surface Area

SA = PH + 2A

229.2 = 18x + 2(31.2)

229.2 = 18x + 62.4

229.2 - 62.4 = 18x

166.8 = 18x

9.266 = x

9.27 = x

x = 9.27 cm

V = Volume

V = AH

V = 31.2(9.27)

V = 289.224

V = 289.2 cm³

8 0

3 years ago

What is the slope of the line that contains these points? xxx -4−4minus, 4 -3−3minus, 3 -2−2minus, 2 -1−1minus, 1 yyy 222 555 88

Charra [1.4K]

Given:

The table of values is

x y

-4 2

-3 5

-2 8

-1 11

To find:

The slope of the line that contains these points.

Solution:

From the given table consider any two point.

Let the line passes through the points (-4,2) and (-3,5). So, the equation of the line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-2=\dfrac{5-2}{-3-(-4)}(x-(-4))$

$y-2=\dfrac{3}{-3+4}(x+4)$

$y-2=\dfrac{3}{1}(x+4)$

Using distributive property, we get

$y-2=3x+12$

$y=3x+12+2$

$y=3x+14$

Therefore, the required equation of line is $y=3x+14$ .

4 0

3 years ago