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Y=x+3 and y=-x-5.Is the line parallel, perpendicular or neither?

insens350 [35]

Answer:

Perpendicular.

Step-by-step explanation:

For parallel lines slopes are equal.

The slope of y = x + 3 is 1 and the slope of y = -x - 5 is -1 so they are not parallel.

For perpendicular lines m1*m2 = -1 (where m1 and m2 are the slopes).

So these 2 lines are perpendicular.

8 0

3 years ago

A " Daily Number " lottery has a three-digit number from 000 to 999. You buy one ticket each day. Your number is 389. a) What is

Pachacha [2.7K]

THIS IS THE COMPLETE QUESTION BELOW;

Daily Number " lottery has a three-digit number from 000 to 999. You buy one ticket each day. Your number is 389.

a) What is the probability of winning next Tuesday and Wednesday

b)You won on Tuesday. What's the probability of winning on Wednesday?

c)You didn't win on Tuesday. What is the probability of winning on Wednesday?

Answer:

a)The probability of winning next Tuesday and Wednesday=1/1,000,000

b)if you won on Tuesday The probability of winning on Wednesday=1/1000=0.001

c)If you didn't win on Tuesday The probability of winning on Wednesday=1/1000=0.001

Step by step Explanation:

In this question we have three-digit number from 000 to 999.irrespective of the number you pick,

The probability that you will win always remains 1/1000, whether you you have been playing for ten years and you didn't win or you have won thrice .

This can be explained with the situation of when you flipp coins, If you flip a fair coin for like ten times and get tails all through in a row, the chance to get that tail on the eleventh time is still 50/50

a)The probability of winning on next Tuesday and Wednesday is calculated as;

P(of winning on next Tuesday)=1/1000

P(of winning on next Wednesday)=1/1000

Then ,P(of winning on next Tuesday and Wednesday)=(1/1000)*(1/1000),

= 1/1,000,000

b) if you won on Tuesday,

P( of winning on Wednesday)= 1/1000.

c) if you didn't win on Tuesday,

P(of winning on Wednesday) = 1/1000.

6 0

3 years ago

RS 3560 becomes RS 4272 in 8 years at S.I. What will be the simple interest on Rs 6480 in 14 years at the same rate of interest?

Readme [11.4K]

Answer:

$RS\ 8,748$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

step 1

Find the rate of interest

in this problem we have

$t=8\ years\\ P=RS\ 3,560\\ A=RS\ 4,272\\r=?$

substitute in the formula above

$4,272=3,560(1+8r)$

solve for r

$8r=(4,272/3,560)-1$

$r=[(4,272/3,560)-1]/8$

$r=0.025$

convert to percentage

$r=0.025*100=2.5\%$

step 2

What will be the simple interest on Rs 6480 in 14 years at the same rate of interest?

we have

$t=14\ years\\ P=RS\ 6,480\\ A=?\\r=0.025$

substitute in the formula above

$A=6,480(1+0.025*14)$

$A=6,480(1+0.35)$

$A=RS\ 8,748$

8 0

3 years ago

Which statement is true about the end behavior of the

Dvinal [7]

The answer is the last choice.

When x approaches positive infinity, the value of f(x) will also approach positive infinity too.

Notice how we substitute x in the equation with any positive numbers and we will get high f(x) value as the sign of positive infinity approach when x approaches positive infinity.

7 0

3 years ago

A parabola can be drawn given a focus of ( 6 , − 5 ) (6,−5) and a directrix of y = 1 y=1. Write the equation of the parabola in

Pani-rosa [81]

Answer:

y = -(1/12)(x -6)² -2

Step-by-step explanation:

The vertex of the parabola is halfway between the focus and the directrix, so has y-coordinate (-5+1)/2 = -2. The difference in the y-coordinates between the focus and the vertex is ...

p = -5 -(-2) = -3

An equation of the parabola with vertex (h, k) and focus-vertex distance p can be written:

y = 1/(4p)(x -h)² +k

For (h, k) = (6, -2) and p = -3, the equation is ...

y = (-1/12)(x -6)² -2

4 0

3 years ago