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prisoha [69]
3 years ago
11

a straight line through points p and q is drawn perpendicular to a line through points p(x,y) and r(x,(y+10)) . the possible coo

rdinates of the point q are_?
Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0

On the X-Y plane, the points p and r are on the vertical line X=x. Then the perpendicular (horizontal) line through p will have the equation Y=y. Points q on that line will have coordinates

... q(<anything>, y)

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Seven cards are drawn from an ordinary deck. In how many ways is it possible to draw ​(b) only 8​'s, ​'s and ​(c) no ​'s, ​'s an
elena-14-01-66 [18.8K]

Complete question :

Seven cards are drawn from an ordinary deck. In how mnat ways is it possible to draw (a) only 5s (b)only 8s, 9s, and 10s, (c) no 8s, 9s, and 10s (d) exactly 2 jacks or kings, (e) 5 spades and 2 hearts?

Answer:

0; 792 ; 100396 ; 30408224 ; 18643560 ;

Step-by-step explanation:

Number of cards in a deck = 52

Number of cards to be drawn = 7

Using combination:

nCr = n! ÷ (n-r)!r!

A.)

Number of 5's in a deck = 4

4C7 = 0

(B.)

only 8s, 9s, and 10s,

Number of 8, 9 and 10's = 4 *3 = 12

12C7 = 12! ÷ 5!7! = 792

(C)

no 8s, 9s, and 10s ;

Number of cards to select from = 52 - (3(4)) = 40C7 = 18643560

(D)

exactly 2 jacks or kings,

Number of jack or king in deck = 8 ; other 5 could be any of the rest : (52 - 8) = 44

8C2 * 44C5 = 28 * 1086008 = 30408224

(e) 5 spades and 2 hearts?

Number of spades = 13

Number of hearts = 13

13C5 * 13C2

1287 * 78 = 100396

4 0
3 years ago
The perimeter of a building is 78 feet. The width of the building is seven more than three times the length of the building. Wha
Alchen [17]

P=2l+2w

W=7+3l

So substitute into the original equation

P=2l + 2(7+3l)

78=2l +14 + 6l

-14 -14

—————-

64=8l

8=length

W=7+3l

= 7+3(8)

=7+24

=31

Check your work

Perimeter=8+8+31+31

=78

Hope this helps

8 0
3 years ago
CAN SOMEONE HELPPP MEEE MY HOMEWORK IS SOO HARDDD PLEASE!!!!
natulia [17]

Answer:

#5 the sum would be on the right side because it is positive

7 0
3 years ago
What happens to the graph of f(x) = 3(.96)when a constant is added
Neko [114]

Answer:

The graph of the function gets vertically shifted upwards by 12 units.

Step-by-step explanation:

8 0
2 years ago
Round 5.785 to the nearest hundreth
lawyer [7]
The answer would be 5.79
Hope I helped :)
8 0
2 years ago
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