All categories

3 years ago

What is the slope of the line that contains the points (-2,5) and (6-3)

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

Answer: m = -1

Step-by-step explanation: In this problem we're asked to find the slope of the line that contains the points (-2,5) and (6,-3).

Using our slope formula, we take the second y minus the first y which in this case is -3 - 5 over our second x minus our first x which in this case is 6 - -2.

-3 - 5 simplifies to -8 and remember that minus a negative can be thought of as plus a positive so 6 - (-2) can be thought of as 6 + (+2) which is 8.

Now we have -8/8. Notice that our slope can be simplified one step further so we have m = -1.

The variable that's used to represent slope is m.

You might be interested in

HELP ASAP IM IN A TIMED TEST 8TH GRADE MATH

sattari [20]

Answer:

Step-by-step explanation:

Convert them all to the form y = mx + c

4x + 3y = 15

3y = -4x + 15

y = -4/3 x + 5

3x - 4y = -8

-4y = -3x - 8

4y = 3x + 8

y = 3/4x + 2

y + 1 = 4/3(x - 6)

y + 1 = 4/3x - 8

y = 4/3x - 9

y = 3/4x - 5

8 0

3 years ago

The number of typing errors made by a typist has a Poisson distribution with an average of five errors per page. If more than fi

xeze [42]

Answer:

0.61596

Step-by-step explanation:

Given that:

λ = 5 (5 errors per page)

Poisson distribution formula :

P(x = x) = (λ^x * e^-λ) / x!

Probability that page does not need to be retyped means that error on page is less than or equal to 5

P(x ≤ 5) = p(x = 5) + p(x = 4) +... + p(x = 0)

The individual probabilities can be obtained using the formula above or the use of a calculator

P(x ≤ 5) = 0.17547 + 0.17547 + 0.14037 + 0.08422 + 0.03369 + 0.00674

P(x ≤ 5) = 0.61596

4 0

3 years ago

This is hard for me can anyone help me? 9

Kazeer [188]

Answer: -12.8x-20y+8.4

Step-by-step explanation: I multiplied the numbers in parentheses by 4.

5 0

3 years ago

1. The Cajun Heartland State Fair charges $1.25 per ticket for the rides. Johnny bought 25 tickets for the rides and spent a tot

vladimir1956 [14]

Part (a)

The variable y is the dependent variable and the variable x is the independent variable.

Part (b)

The cost of one ticket is $1.25. Therefore, the cost of 25 tickets will be: .

Now, we know that Johnny spent his money only on ride tickets and fair admission and that he spent a total of $43.75.

Therefore, the price of the fair admission is: $43.75-$31.25=$12.5

If we use y to represent the total cost and x to represent the number of ride tickets, the linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission can be written as:

$y=1.25x+12.5$ ......Equation 1

Part (c)

The above equation is logical because, in general, the total cost of the rides will depend upon the number of ride tickets bought and that will be 1.25x. Now, even if one does not take any rides, that is when x=0, they still will have to pay for the fair admission, and thus their total cost, y=$12.5.

Likewise, any "additional" cost will depend upon the number of ride tickets bought as already suggested. Thus, the total cost will be the sum of the total ride ticket cost and the fixed fair admission cost. Thus, the above Equation 1 is the correct representative linear equation of the question given.

7 0

3 years ago

Giselle works as a carpenter and as a blacksmith. She earns $ 2 0 $20dollar sign, 20 per hour as a carpenter and $ 2 5 $25dollar

dem82 [27]

She worked as a carpenter for 12 hours and as a blacksmith for 18 hours.

Assuming you mean she earned $20 as a carpenter and $25 as a blacksmith per hour, with a total of 30 hours for $690,
let c represent carpenter hours and b for blacksmith hours.

20c + 25b = 690
c + b = 30
Subtract b from each side so that c = 30 - b
Plug this value into the first equation

20(30 - b) + 25b = 690
600 - 20b + 25b = 690
600 + 5b = 690
5b = 90
b = 18

To find c, plug this value of b into the other equation
c + 18 = 30
c = 12

3 0

3 years ago

Read 2 more answers