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2 years ago

5

Which of the following is equivalent to

1 answer:

vova2212 [387]2 years ago

8 0

Answer:D

Step-by-step explanation:

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Find the number of subset and number of proper subset from A=(5,6,7,8)

dezoksy [38]

Step-by-step explanation:

The number of subsets=2ⁿ where n=4 members

2ⁿ=2⁴=16

Number of proper subsets=2ⁿ-1

16-1=15

3 0

3 years ago

One end of a line segment has the coordinates (-6,2). If

CaHeK987 [17]

Answer:

The coordinates of the other end is $(16,2)$

Step-by-step explanation:

Given

$End 1: (-6,2)$

$Midpoint: (5,2)$

Required

Find the coordinates of the other end

Let Midpoint be represented by (x,y);

(x,y) = (5,2) is calculated as thus

$(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

So

$x = \frac{x_1 + x_2}{2}$ and $y = \frac{y_1 + y_2}{2}$

Where $(x_1,y_1) = (-6,2)$ and $(x,y) = (5,2)$

So, we're solving for $(x_2,y_2)$

Solving for $x_2$

$x = \frac{x_1 + x_2}{2}$

Substitute 5 for x and -6 for x₁

$5 = \frac{-6 + x_2}{2}$

Multiply both sides by 2

$2 * 5 = \frac{-6 + x_2}{2} * 2$

$10 = -6 + x_2$

Add 6 to both sides

$6 + 10 = -6 +6 + x_2$

$x_2 = 16$

Solving for $y_2$

$y = \frac{y_1 + y_2}{2}$

Substitute 2 for y and 2 for y₁

$2 = \frac{2 + y_2}{2}$

Multiply both sides by 2

$2 * 2 = \frac{2 + y_2}{2} * 2$

$4 = 2 + y_2$

Subtract 2 from both sides

$4 - 2 = 2 - 2 + y_2$

$y_2 = 2$

$(x_2,y_2) = (16,2)$

Hence, the coordinates of the other end is $(16,2)$

3 0

2 years ago

A ski patrol unit has nine members available for duty, and two of them are to be sent to rescue an injured skier. In how many wa

alexgriva [62]

Answer:

36

Step-by-step explanation:

The number of two of the nine members of ski patrol unit can be chosen is equal to the combinations of 9 taken 2. This can be calculated using the formula:

$\frac{9!}{2!*(9-2)!}$

= $\frac{9!}{2!*7!}$ , where

9! =9×8×7×6×5×4×3×2×1 and

7!=7×6×5×4×3×2×1

2!=2×1 then the equation becomes:

= $\frac{9*8}{2}$ =36

4 0

2 years ago

An amusement park charges $25 to enter plus $2 per ride ticket. Which graph models the cost of a visit to this park?

KonstantinChe [14]

Answer:

Graph B

Step-by-step explanation:

6 0

2 years ago

Geometry question on finding x.

Dmitrij [34]

Answer:

$x =63^o$

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

$\text{ $\overline{MN} $ and $\overline{ML}$ are tangents .}$

We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .

<u>According</u><u> to</u><u> question</u><u> </u><u>:</u><u>-</u><u> </u>

$\implies x + 117^o + 90^o +90^o = 360^o \\\\\implies x + 297^o = 360^o \\\\\implies x = 360^o - 297^o \\\\\implies x = 63^o$

<u>Hence</u><u> the</u><u> </u><u>value</u><u> of</u><u> x</u><u> </u><u>is </u><u>6</u><u>3</u><u>°</u><u> </u><u>.</u>

6 0

3 years ago