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2 years ago

Given 2 points (-2,6) and (5,-8) what is the slope, distance, and midpoint

1 answer:

5 0

(-2,6) (5,-8)

slope = (y2 - y1) / (x2 - x1)
slope = (-8 - 6) / (5 - (-2) = -14/7 = -2 <==

midpoint = (x1 + x2)/2 , (y1 + y2)/2
m = (-2 + 5)/2 , (6 - 8)/2
m = (3/2, -1) <===

distance = sqrt ((x2 - x1)^2 + (y2 - y1)^2)
d = sqrt ((5 - (-2)^2 + (-8 - 6)^2)
d = sqrt ((5 + 2)^2 + (-14^2))
d = sqrt (7^2 + 14^2)
d = sqrt (49 + 196)
d = sqrt 245
d = 15.65 <==

You might be interested in

The line representing a proportional relationship always goes through the point (0,0). If x is zero, multiplying x by the consta

Sidana [21]

Answer:

B (2, 4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the constant of proportionality k is given and is equal to

$k=2$

The linear equation is given by

$y=2x$

That means ----> the y-coordinate is two times the x-coordinate

therefore

The other point is B(2.4)

Because

For x=2, y=4

the y-coordinate is two times the x-coordinate

$4=2(2)\\4=4$

3 0

3 years ago

Someone please help me I’m really struggling I will give brainliest

viktelen [127]

Answer:

SA ≈ 1134 cm²

General Formulas and Concepts:

Math

Pi π = 3.14...

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Radius: r = d/2
Surface Area of a Sphere: SA = 4πr²

Step-by-step explanation:

Step 1: Define

d = 19 cm

Step 2: Find SA

Substitute [R]: r = 19 cm/2
Divide: r = 9.5 cm
Substitute [SAS]: SA = 4π(9.5 cm)²
Exponents: SA = 4π(90.25 cm²)
Multiply: SA = 361π cm²
Multiply: SA = 1134.11 cm²
Round: SA ≈ 1134 cm²

8 0

3 years ago

Solve for x Round to the nearest tenth one place after the decimal !

aniked [119]

Answer:

x = 14.4

Step-by-step explanation:

x is sin(angle 24/30)×24

how do we get the angle at 24/30 ?

by using the extended Pythagoras for baselines opposite other than 90 degrees.

c² = a² + b² - 2ab×cos(angle opposite of c)

in our example the angle 24/30 is opposite of the side 18.

so,

18² = 24² + 30² - 2×24×30×cos(angle 24/30)

324 = 576 + 900 - 1440×cos(angle 24/30)

324 = 1476 - 1440×cos(angle 24/30)

1440×cos(angle 24/30) = 1152

cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5

angle 24/30 = 36.9 degrees

x = sin(36.9) × 24 = 14.4

4 0

3 years ago

Find the mean median and mode of the deta set 1,6,3,9,6,8,4,4,4

Firlakuza [10]

Mode (most occurring) - 4
mean (average) - 8
median (middle number from least to greatest) - 4

4 0

3 years ago

Read 2 more answers

Solve. 4.75t + 5 = 13.5t + 12 The solution is t = .

Eddi Din [679]

Answer: t= -0.799
This can also be written as t= -0.8

How to do it :

4.74t+ 5 = 13.5t + 12

first, subtract 4.74t from both sides
5= 8.76t + 12

next, subtract 12 from each side
-7 = 8.76t

next, divide 8.76 from each sides

-0.799 = t

7 0

2 years ago