All categories

3 years ago

What is the slope of the between (-4,3) and (2,-1)?

Mathematics

1 answer:

laila [671]3 years ago

6 0

Answer:

slope = -7/3

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

We need to implement the points into this formula

y2 = 3

y1 = -4

x2 = -1

x1 = 2

(3-(-4)) divided by (-1-2) = 7/-3 = -7/3

You might be interested in

2^2 times 2^3 a.2^4 b.2^5 c.2^6 d.4^6

maxonik [38]

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .

5 0

3 years ago

Read 2 more answers

An automobile travels 2340km and uses 180 L of gasoline. Find its fuel consumption in kilometers per litre

Sonbull [250]

13 kilometers per liter

4 0

3 years ago

Read 2 more answers

The following information is given for Tripp Company, which uses the indirect method

oee [108]

Answer:

Step-by-step explanation:

The cash flow from operating activities is = $28000.

Working Note:

Net Income $20000

Depreciation expense $3000

Increase in accounts receivable ($2000)

Increase in accounts payable $4000

Decrease in inventory $3000

Net Cash Flow from Operating Activities = 20000 + 3000 – 2000 + 4000 + 3000

Net Cash Flow from Operating Activities = $28000

The cash flow from investing activities = $6000.

Working Note:

Proceeds from sale of equipment $6000

Net cash flow from investing activities = $6000

The cash flow from financing activities = - $2000 or ($2000)

Working Note:

Payment of dividends ($2000)

Net Cash flow from financing activities = - $2000 or ($2000)

7 0

3 years ago

Which of the following are equal to the expression below? check all that apply

malfutka [58]

Are you serious?

The correct answers are B. , D. and E.

Good luck!!!!

3 0

3 years ago

Taylor surveys students in one grade level who own at least one pet. She finds that 50% of the students surveyed own 2 pets, 3 s

Llana [10]

First, we need to work out the total number of students who were being surveyed.

We know that half of the students has two pets. The rest of the students make up the other half. So, we have 3 students + 2 students + 8 students = 13 students that make half of the sample population

That means total number of students being surveyed is 13+13=26 students

Then we work out the probability
P(One pet) = 8/26 = 4/13
P(Two pets) = 1/2
P(Three pets) = 3/26
P( Four pets) = 2/26 = 1/13

The probability distribution is shown in the table below. Let $x$ be the number of pets and $P(X=x)$ is the probability of owning the number of pets

3 0

4 years ago

Read 2 more answers