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3 years ago

What is the equation of the line that passes through the point (6, -6) and has a slope of – 5/3?

Mathematics

1 answer:

Fofino [41]3 years ago

3 0

Answer:

y = -5/3x + 4

Step-by-step explanation:

Use the point-slope equation:

y - y₁ = m(x - x₁), where (x₁, y₁) is the given point

The line is:

y - (-6) = -5/3(x - 6)
y + 6 = -5/3x + 10
y = -5/3x + 4

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What is 88,800 divided by 10 to the 2nd power?

postnew [5]

Answer:

880

Step-by-step explanation:

8 0

3 years ago

What is the radius of a circle with a diameter 200 cm?????????????????????????????

Studentka2010 [4]

Answer:

r = 100 cm

Step-by-step explanation:

The radius is 1/2 of the diameter

1/2 d = 1/2(200) = 100

6 0

3 years ago

Stephen, Gavin and Jim share some sweets in the ratio 4:1:2. Stephen gets 30 more sweets than Jim. How many sweets are there alt

Kamila [148]

Answer:

105 sweets

Step-by-step explanation:

There are 4 + 1 + 2 = 7 parts in total

Stephen gets 4 parts (or 4x)

Jim gets gets 2 parts (or 2x)

Given,

Stephen gets 30 more than Jim, we can write:

Stephen = Jim + 30

4x = 2x + 30

We can solve for "x":

$4x = 2x + 30\\4x-2x=30\\2x=30\\x=15$

There are 7 parts of sweets altogether (or 7x), we know x so:

There are:

7 * 15 = 105 sweets altogether

7 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

IRISSAK [1]

1. √169 = √(13 · 13) = 13

2. √169 = √(13 · 13) = 13

3. √81 = √(9 · 9) = 9

4. √225 = √(15 · 15) = 15

5. √196 = √(14 · 14) = 14

Answer: 4, 3, 1, 5, 2

3 0

3 years ago

How will you find the distance between these two points using Pythagorean theorem?

kow [346]

R represents radius or the distance between two points, the pythagorean expression will be
r² = Δx² + Δy²
Δ means the change, Δx means the change of x, Δy means the change of y

Given:
(x₁,y₁) = (-5,-1)
(x₂,y₂) = (0,2)

Input the numbers to the expression
r² = Δx² + Δy²
r² = (x₂ - x₁)² + (y₂ - y₁)²
r² = (0 + 5)² + (2 + 1)²
r² = 5² + 3²
r² = 25 + 9
r² = 34
r = √34

The distance is √34 unit length

3 0

3 years ago