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3 years ago

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Mathematics

2 answers:

Elan Coil [88]3 years ago

6 0

Answer:

1, 3, 4, 5, 6 are all correct

Step-by-step explanation:

1. x - 2 = 0

+2 +2

solution: x = 2

3. 5 - x = 3

-5 -5

-x = -2 (divide both sides by -1 because x equals 1. A negative divided by a negative equals a positive)

solution: x = 2

4. 10 = 5x (you divide 5 on both sides to get x by itself) 10/5 equals 2 so x=2

5. 1/2x = 1 (you divide both sides so you flip the fraction 2/1 is 2 and 2x1 = 2 so the answer is x=2

6. x^3 = 8 (2x2x2) is equal to 8 so x=2

Mandarinka [93]3 years ago

5 0

Answer:

1, 3, 4, 5, 6

Step-by-step explanation:

2 - 2 = 0

2 + 2 = 4, not 2

5 - 2 = 3

10 = 5(2)

1/2(2) = 1

2^3 = 8

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From the 12 players who will travel, the coach must select her starting line-up. She will select a player for each of the five p

gizmo_the_mogwai [7]

Answer:

990

Step-by-step explanation:

The center position can be selected in 3 different ways, the other 4 players can be selected in combinations of 11 players (the center is already selected) taken 4 at a time.

By the Fundamental Principle of Counting, there are

$3\displaystyle\binom{11}{4}=3*\displaystyle\frac{11!}{4!(11-4)!}=3*\displaystyle\frac{11!}{4!7!}=990$

ways for her to select the starting line-up.

7 0

2 years ago

line y = 2x+1 is transformed by a dialation with a scale factor of two and centered at (0,-4). what is the equation of the image

Gekata [30.6K]

Answer: y = 2x + 6

Step-by-step explanation:

Here the equation of line,

y = 2x + 1

y-intercept of the line is, (0, 1)

And, the slope of the line is 2.

Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),

Then transformed point are get by,

$(x,y)\rightarrow (k(x-a)+a, k(y-b)+b)$

Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),

$(0,-4)\rightarrow (2(0-0)+0, 2(1+4)-4)$

$(0,-4)\rightarrow (0, 6)$

Thus, the point of the new line is (0,6)

And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)

Thus, the equation of new line,

(y - 6) = 2 (x - 0)

y - 6 = 2x

y = 2x + 6

5 0

3 years ago

The table shows a hot air balloon’s height h, in feet, during a descent at various times t, in seconds.

11Alexandr11 [23.1K]

Do you have a picture my freind

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2 years ago

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Ruben bought 6 comic books for $21 dollars sign, 21.<br> What was the cost for 1 comic book?

Lena [83]

Answer:

$3.5

Step-by-step explanation:

21/6=3.5

6 0

2 years ago

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The volume of a spherical tank is 790.272 pie cubic feet what is the diameter of the container

pochemuha

Answer:

The diameter is 13.88 feet.

Step-by-step explanation:

1. The formula for calculate the volume of a sphere is:

$V=\frac{3}{4}(r^{3}\pi)$

Where $r$ is the radius.

2. The diameter is:

$D=2r$

3. So, you must solve for the radius in the first equation:

$r=\sqrt[3]{\frac{4V}{3\pi}}$

$r=\sqrt[3]{\frac{4(790.272ft^{3} )}{3\pi}}\\r=6.94ft$

4. Then, the diameter is:

$D=2(6.94ft)\\D=13.88ft$

8 0

3 years ago