<img src="https://tex.z-dn.net/?f=10%20%7Bx%7D%5E%7B2%7D%20-%206%20%3D%20144%20" id="TexFormula1" title="10 {x}^{2}

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Orlov [11]

3 years ago

alt="10 {x}^{2} - 6 = 144 " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

5 0

Answer:

$\large\boxed{x=\pm\sqrt{13}}$

Step-by-step explanation:

$10x^2-6=144\qquad\text{add 6 to both sides}\\\\10x^2=130\qquad\text{divide both sides by 10}\\\\x^2=13\to x=\pm\sqrt{13}$

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Exit Ticket Anyone Can help me?

Umnica [9.8K]

Answer:

okay, so 1 1/6 can be converted to 7/6.

2 3/8 can be converted to 19/8

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7/6 would turn into 28/24

19/8 would turn into 57/24

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85/24

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago

The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.

Goryan [66]

Given:

The length of DE is 8 cm and the measure of ∠ADE is 60°.

We need to determine the surface area of the pyramid.

Length of AD:

The length of AD is given by

$cos 60^{\circ}=\frac{FD}{8}$

$4=FD$

Length of AD = 8 cm

Slant height:

The slant height EF can be determined using the trigonometric ratio.

Thus, we have;

$sin \ 60^{\circ}=\frac{EF}{8}$

$sin \ 60^{\circ} \times 8=EF$

$\frac{\sqrt{3}}{2} \times 8=EF$

$4\sqrt{3}=EF$

Thus, the slant height EF is 4√3

Surface area of the square pyramid:

The surface area of the square pyramid can be determined using the formula,

$SA=Area \ of \ square + \frac{1}{2} (Perimeter \ of \ base ) (slant \ height)$

Substituting the values, we have;

$SA=8^2+\frac{1}{2}(8+8+8+8)(4 \sqrt{3})$

$SA=64+\frac{1}{2}(32)(4 \sqrt{3})$

$SA=64+(16)(4 \sqrt{3})$

$SA=64+64 \sqrt{3}$

The exact form of the area of the square pyramid is $64+64 \sqrt{3}$

Substituting √3 = 1.732 in the above expression, we have;

$SA = 64 + 110.848$

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Rounding off to one decimal place, we get;

$SA = 174.8$

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2 years ago

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a line passes through the point (-9, 1) and had a slope of -2/3. Write an equation in point-slope form for this line

coldgirl [10]

Answer:

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Step-by-step explanation:

y-1=-2/3(x-(-9))

y-1=-2/3(x+9)

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3 years ago

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Keith_Richards [23]

Answer:

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Step-by-step explanation:

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2 years ago