I really need help with this plz

a) The slope of the new road is given by m = -4

b) The equation of line is y = -4x + 32

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as P ( 4 , 7 )

Let the second point be represented as Q ( 2 , 15 )

Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 15 - 7 ) / ( 2 - 4 )

Slope m = 8 / -2

Slope m = -4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 4 = ( -4 ) ( x - 7 )

On simplifying the equation , we get

y - 4 = -4x + 28

Adding 4 on both sides of the equation , we get

y = -4x + 32

Hence , the equation of line is y = -4x + 32

To learn more about equation of line click :

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Answer:

0.193

Step-by-step explanation:

Answer:

its 8:9

Step-by-step explanation:

It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.

Answer: No

Step-by-step explanation:

you just gotta keep trying and ill help u

1. 6/7

2. 3/5 is already in its simplest form

3. 5 2/9

Answer:

True

Step-by-step explanation:

Answer:

Her speed is 0.05 miles per minute

Step-by-step explanation:

The unit rate of her speed in miles per minute is given by the number of miles divided by the number of minutes. So:

0.5 miles in 10 minutes. So

0.5/10 = 0.05 miles per minute

Her speed is 0.05 miles per minute

Answer:

5 kilos

Step-by-step explanation:

55:11

5:1 ratio

9514 1404 393

Answer:

  $1.87 per guest for quantity used

  $1.91 per guest for whole bottles used

  $3.06 per guest for whole cases used

Step-by-step explanation:

The cost of the beverage is ...

  ($189.43/case)(1 case/(12 bottles))(1 bottle/(750 mL)) = $0.02104777.../mL

Each guest consumes 6 cocktails of 0.5 floz each, so ...

  (6 drinks/gues)(0.5 floz/drink)(29.5735295625 mL/floz) ≈ 88.7205 mL/guest

Then the cost per guest is ...

  ($0.02104777.../mL)(88.7205 mL/guest) ≈ $1.86737/guest

The cost per guest for the amount used is about $1.87.

__

The total amount of drink used for all guests is ...

  124(88.7205 mL/guest) ≈ 11,001.4 mL

At 750 mL per bottle, this is ...

  (11,001.4 mL)/(750 mL/bottle) ≈ 14.7 bottles

If you're constrained to pay for 15 bottles, then the cost per guest is ...

  $189.43(15/12)/124 = $1.91 per guest

__

At 12 bottles per case, this is ...

  (14.7 bottles)/(12 bottles/case) ≈ 1.2 cases

If you're constrained to pay for 2 cases, then the cost per guest is ...

  $189.43(2)/124 = $3.06 per guest

Answer:

D. y=-2x-2

Step-by-step explanation:

To find a line perpendicular to another line take the negitive inverse which is fliping the fraction and multiplying it by -1. To see if it crosses a point just plug in for that point.

Answer:

addition

Step-by-step explanation:

Answer:

Addition

Step-by-step explanation:

PEMDAS: Parentheses, Exponent, Multiply, Divide, Add, Subtract. (The multiply and divide can be swapped, as well as the add and subtract :3) Hope this helps! :D

Answer:

a-2 / a - 1

Step-by-step explanation:

Answer: 2 1/2y

Step-by-step explanation:

This is correct because y is not a number it is a variable. This is y get it. That this is correct. Hope this helps ;)

Answer:

x is less than or equal to 3

Step-by-step explanation:

The dot is a closed dot, which means that it is something or equal to, and the arrow is pointing down, which means less than. So the sign would be less than or equal to (sorry I don't have that sign on my computer). The dot is on three, so the inequality is x is less than or equal to 3.

Answer:

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

Step-by-step explanation:

For each call, there are only two possible outcomes. Either the lines are occupied, or they are not. The events that the lines are occupied on successive calls are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The phone lines to an airline reservation system are occupied 61% of the time.

This means that [tex]p = 0.61[/tex]

If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls

This is P(X = 5) when n = 11. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{11,5}.(0.61)^{5}.(0.39)^{6} = 0.1373[/tex]

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

Answer:

>

Step-by-step explanation:

Answer:

5.31 > 5.13

Step-by-step explanation:

5.31 is greater than 5.13 as it is farther than 5.13 on the number line.

Answer:

answer is x=1

Step-by-step explanation:

][[[[[[[[[

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

just flip the problem around 14+q=25

then do 25-14

Thats your Q

Answer:

15

Step-by-step explanation:

50 times 30 over 100 you will get 15

Answer:

fiesta size which is 5 times bigger than the normal size, and the fiesta size price is a little less than 3 times the normal price basicly if you bought 5 of those, you would get the same amount which. is a waist of money, therefore the fiesta size bag is a better deal to purchase

Hope It Helps!

Answer:

The unknown is 44

Step-by-step explanation:

We need to solve for x in the proportion given by :

11 / 1 = x / 4

multiply both sides by 4 to isolate x

11 * 4 / 1 = x

x = 44

Answer:

10m

Step-by-step explanation:

length = 8m , breadth =6m

diagonal = 8square + 6square

= 64 + 36

= 100 square

=10m

Answer:

Step-by-step explanation:

[tex]\sqrt{8^2+10^2} =\sqrt{64+100} =\sqrt{164} =2\sqrt{41} \approx 12.81 "[/tex]

Answer:

9[tex]\pi[/tex]

Step-by-step explanation:

r=3

Area of circle: [tex]\pi[/tex][tex]r^{2}[/tex]

Answer:

wait thats blurd plis paki ayos ng picture thanks

Answer:

retake the pictures please its blurry

Step-by-step explanation:

so I can help you

Answer:

Step-by-step explanation:

The middle three expressions are equivalent.

Answer:

The above answer is correct

hope it is helpful to you