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chubhunter [2.5K]
2 years ago
7

Which equation of a line contains point (-2,8) and is perpendicular to y = kx + 3? 6 (12)​

Mathematics
1 answer:
ad-work [718]2 years ago
6 0

Answer: y - 8 = -6(x - 2)

Step-by-step explanation:

• slope

m _{1} \times m _{2} =  - 1 \\  \\  \frac{1}{6 }  \times m _{2} =  - 1 \\  \\ m =  - 6

• At point (-2, 8):

y = mx + c \\ 8 = ( - 6 \times  - 2) + c \\ 8 = 12 + c \\ c =  - 4

• equation

y =  - 6x - 4

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If X = 10 cm, Y = 24 cm, and Z = 26 cm, what is the tangent of A?
omeli [17]

2.4cm is the tangent of A

6 0
3 years ago
What’s the probability of getting each card out of a deck?
VMariaS [17]

Answer:

a. 1/13

b. 1/52

c. 2/13

d. 1/2

e. 15/26

f. 17/52

g. 1/2

Step-by-step explanation:

a. In a deck of cards, there are 4 suits and each of them has a 7. Therefore, the probability of drawing a 7 is:

P(7) = 4/52 = 1/13

b. There is only one 6 of clubs, therefore, the probability of drawing a 6 of clubs is:

P(6 of clubs) = 1/52

c. There 4 fives (one for each suit) and 4 queens in a deck of cards. Therefore, the probability of drawing a five or a queen​​​​​​​​​​​ is:

P(5 or Q) = P(5) + P(Q)

= 4/52 + 4/52

= 1/13 + 1/13

P(5 or Q) = 2/13

d. There are 2 suits that are black. Each suit has 13 cards. Therefore, there are 26 black cards. The probability of drawing a black card is:

P(B) = 26/52 = 1/2

e. There are 2 suits that are red. Each suit has 13 cards. Therefore, there are 26 red cards. There are 4 jacks. Therefore:

P(R or J) = P(R) + P(J)

= 26/52 + 4/52

= 30/52

P(R or J) = 15/26

f. There are 13 cards in clubs suit and there are 4 aces, therefore:

P(C or A) = P(C) + P(A)

= 13/52 + 4/52

P(C or A) = 17/52

g. There are 13 cards in the diamonds suit and there are 13 in the spades suit, therefore:

P(D or S) = P(D) + P(S)

= 13/52 + 13/52

= 26/52

P(D or S) = 1/2

6 0
3 years ago
A tree grows three-fourth feet per year. How long will it take the tree to grow from
xenn [34]

Answer:

9 years

Step-by-step explanation:

37-21.25 =15.75ft

1.75ft per year

15.75  / 1.75  = 9 years

4 0
3 years ago
Which of the following is NOT a solution to the linear equation y=3x+2?
Ipatiy [6.2K]

Answer:

(3,10)

Step-by-step explanation:

When x is 3

{ \bf{y = 3x + 2}} \\ { \bf{y = (3 \times 3) + 2}} \\ { \bf{y = 11}}

y is 11, and this is invalid because it is not at accord.

6 0
3 years ago
Read 2 more answers
Given the piecewise function. Shown below
creativ13 [48]

Answer:

  (x, g(x)) = {(-2, -2), (0, 0), (2, 2), (4, -3), (6, -3)}

Step-by-step explanation:

The first three values of x in the table are all less than or equal to 2, so the first part of the function definition applies. The y-value is equal to the x-value. The ordered pairs are ...

  (-2, -2), (0, 0), (2, 2)

The last two values of x in the table are more than 2, so the last part of the function definition applies. For those values of x, the y-value is -3. The ordered pairs are ...

  (4, -3), (6, -3)

5 0
3 years ago
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