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3 years ago

−2/3a+1/8−1/6a−3/4 PLS HELP

Mathematics

1 answer:

yarga [219]3 years ago

8 0

Answer:

-5a-15/4

______

Step-by-step explanation:

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Will give brainliest! Pls help!

olga2289 [7]

A straight line equals 180 degrees, so the 3 angles in the picture need to equal 180.

X + 90 + 25 = 180

x +115 = 180

Subtract 115 from both sides:

x = 65

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3 years ago

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Is the sequence geometric if so identify the common ratio 1/3, 2/9, 4/27, 8/81, 16/243

docker41 [41]

Yes it is a geometric sequence and the common ratio is 2/3

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3 years ago

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Pls if anyone knows the answer with work included/steps that will be greatly appreciated :)

dimaraw [331]

Answer:

1. Option D. 15x²

2. Option C. 3

Step-by-step explanation:

1. Determination of the area of one section.

Length (L) of one section = 25x/5 = 5x

Width (W) of one section = 3x

Area (A) of one section =?

The area of one section can be obtained as follow:

Area (A) = Length (L) × Width (W)

A = L × W

A = 5x * 3x

A = 15x²

Thus, the area of one section is 15x²

2. Determination of the expressions that are equivalent to (p²)³.

We'll begin by simplifying (p²)³. This can be obtained as follow:

(p²)³ = p²*³

(p²)³ = p⁶

Next we shall compare each expression given in the question above to see which will be the same as p⁶.

p × p × p × p × p × p = p¹⁺¹⁺¹⁺¹⁺¹⁺¹

p × p × p × p × p × p = p⁶

p² × p² × p² = p²⁺²⁺²

p² × p² × p² = p⁶

p² × p³ = p²⁺³

p² × p³ = p⁵

Thus,

p² × p³ ≠ p⁶

p⁵ ≠ p⁶

p⁶ = p⁶

SUMMARY

p × p × p × p × p × p = p⁶ = (p²)³

p² × p² × p² = p⁶ = (p²)³

p⁶ = (p²)³

Therefore, 3 expressions are equivalent to (p²)³. Option C gives the correct answer to the question.

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3 years ago

Find the distance between the two points (-4, -5) and (1, -2).

Leokris [45]

$using \: formula \\ \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } \\ \sqrt{(1 - ( - 4)) {}^{2} + ( - 2 - ( - 5)) {}^{2} } \\ = \sqrt{34}$
answer is B.

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3 years ago

Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the vo

blsea [12.9K]

The volume of a box with dimensions x by x by x is $x^{3}$ .

So if we are given the volume V of a cube-shaped box, the side length of thit is $\sqrt[3]{V}$ .

So we calculate the cubic roots of the volumes we have, and we add their heights.

To calculate the cubic root of 729, we can factorize it, and group the perfect cubes together, as follows:

$\frac{729}{3}= \frac{600}{3} + \frac{120}{3} + \frac{9}{3}=200+40+3=243$

$\frac{243}{3}= \frac{240}{3}+ \frac{3}{3}=80+1=81$ , which we recognize as $3^{4}$

so $729=3*3* 3^{4}= 3^{6}= ( 3^{2} )^{3}= 9^{3}$

similarly 1,331 can be found to be $11^{3}$ .

Thus we have 2 boxes with side length equal to 11 m and one with side length equal to 9 m.

Answer: h= 11+11+9 = 31 (meters)

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