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3 years ago

Find the slope of the line that passes through (2,5) and (8,-4)

Mathematics

2 answers:

Lemur [1.5K]3 years ago

4 0

Slope formula: (y² - y¹) / (x² - x¹)

(2, 5) and (8, -4)

x¹ = 2

x² = 8

y¹ = 5

y² = -4

-4 - 5 = -9

8 - 2 = 6

Answer: -9/6

Hope this Helps!!

marshall27 [118]3 years ago

4 0

Slope is =y2-y1/x2-x1
So
= - 4 - 5/ 8-2
= - 9/6
= - 3 / 2 this the answer

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What type of quadrilateral is created by the points: L (-5,4), M (2,2), N (0,-3), S (-7,-1)

kumpel [21]

Given same lengths and slopes of the opposite sides and nature of the angle between adjacent sides, we have;

The type of quadrilateral is a parallelogram

<h3>How can the type of quadrilateral be found?</h3>

The given points are;

L(-5, 4), M(2, 2), N(0, -3), S(-7, -1)

Lengths of the sides are;

Length of LM = √((2-(-5))²+(2-4)²) ≈ √(53)

Length of MN = √((2-0)²+(2-(-3))²) ≈ √(29)

Length of NS = √((0-(-7))²+((-3)-(-1))²) ≈ √(53)

Length of LS = √(((-7)-(-5))²+((-1)-4)²) ≈ √(29)

Therefore;

The lengths of opposite sides are the same.

Slope of LM = (2-4)/(2-(-5)) = -2/7

Slope of MN = (2-(-3))/(0-2) = 5/2

Slope of NS = ((-3)-(-1))/(0-(-7)) = -2/7

Slope of LS = ((-1)-4)/(-7-(-5)) = 5/2

Therefore;

The opposite sides are parallel, and

The the adjacent sides are not perpendicular

The quadrilateral created by the points L(-5, 4), M(2, 2), N(0, -3), S(-7, -1) is therefore;

A parallelogram

Learn more about parallelograms here:

brainly.com/question/1100322

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8 0

2 years ago

1.6x 10^5 in standard notation.

Gekata [30.6K]

The answer is 160,000. Since it's positive,move the decimal point 5 times to the right.

ANSWER: 160,000

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4 years ago

Peyton opened a savings account with $1800 that pays no interest. She deposits an

ozzi

Answer:

She should have $4200 in the account after 24 weeks.

Step-by-step explanation:

Because this account has no interest and only increases its value because she adds $100 every week, we just multiply the number of weeks by 100 and add that to the $1800 she already has in the account.

5 0

3 years ago

Read 2 more answers

A line passes through the point −−6, 1 and has a slope of 52 .

zvonat [6]

Y - y₁ = m(x - x₁)
y - 1 = 52(x - (-6))
y - 1 = 52(x + 6)
y - 1 = 52(x) + 52(6)
y - 1 = 52x + 312
+ 1 + 1
y = 52x + 313

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3 years ago

Find the sum of a 22-term arithmetic sequence, where the first term is 7 and the last term is 240.

nikdorinn [45]

Answer:

The sum of the arithmetic series is 2717.

Step-by-step explanation:

The sum of an arithmetic sequence is given by:

$\displaystyle S = \frac{k}{2}\left( a + x_k\right)$

Where k is the number of terms, a is the initial term, and x_k is the last term.

There are 22 terms, the first term is 7, and the last term is 240. Hence, the sum is:

$\displaystyle \begin{aligned} S &= \frac{(22)}{2}\left((7) + (240)} \\ \\ &= 11(247) \\ \\ &= 2717\end{aligned}$

In conclusion, the sum of the arithmetic series is 2717.

3 0

3 years ago