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2 years ago

Which expression is equivalent to 6^2 times 6^6? a. 6^8 b. (6^3)^5 c. 6^12 d. 6^8/6

Mathematics

1 answer:

ratelena [41]2 years ago

8 0

Step-by-step explanation:

Rule:

When exponents multiply, they're adding.

Multiply:

${6}^{2} \times {6}^{6} = {6}^{2 + 6} = {6}^{8}$

Option A is correct.

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If 3x + 6y = 7z, find x + 2y in terms of z.

o-na [289]

Answer:

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2 years ago

Explain how to estimate the quotient using compatible numbers. 27 and two-thirds divided by 3 and StartFraction 9 over 10 EndFra

sladkih [1.3K]

Answer:

The first fraction is between 27 and 28, closer to 28. The second fraction is between 3 and 4, closer to 4. Compatible numbers in division are numbers that can be divided mentally. 28 divided by 4 is 7. The quotient will be around 7.

Step-by-step explanation:

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3 years ago

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Find the value of x such that the area of a triangle whose vertices have coordinates (6, 5), (8, 2) and (x, 11) is 15 square uni

Serjik [45]

Answer:

$x =12\ or\ -8$

Step-by-step explanation:

Given

$(x_1,y_1) = (6,5)$

$(x_2,y_2) = (8,2)$

$(x_3,y_3) = (x,11)$

$Area = 15$

Required

Find x

The area is calculated as thus:

$Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|$

Substitute values

$15 = \frac{1}{2}|6*(2 - 11) + 8*(11 - 5) + x(5 - 2)|$

$15 = \frac{1}{2}|6*(-9) + 8*(6) + x(3)|$

$15 = \frac{1}{2}|-54 + 48 + 3x|$

$15 = \frac{1}{2}|-6 + 3x|$

Multiply through by 2

$2 * 15 = \frac{1}{2}|-6 + 3x| * 2$

$30 = |-6 + 3x|$

Remove absolute sign

$30 = -6 + 3x\ or\ -30 = -6 + 3x$

Add 6 to both sides

$36 = 3x\ or\ -24 = 3x$

Divide by 3

$12 = x\ or\ -8 = x$

$x =12\ or\ -8$

So, the coordinates are (-8, 11) or (12,11)

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2 years ago

What is 1/6 x 5 appreciate all answers!

Alchen [17]

Answer:

0.833 repeating or 5/6

Step-by-step explanation:

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2 years ago

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What is the value of x??

Feliz [49]

Answer:

I. 5

Step-by-step explanation:

140° and 8x° are on the straight angle and they are both equal 180°

to find the value of x:

140 + 8x = 180

8x = 180 - 140

8x = 40

x = 40/8

x = 5

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2 years ago