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3 years ago

What is the equation of a line that passes through the points (3, 6) and (8, 4)

1 answer:

4 0

First let us find the slope between the two points.

Slope = Change in y / Change in x.

(3, 6) and (8, 4) compares to (x₁, y₁) and (x₂, y₂)

Slope = (y₂ - y₁) / (x₂ - x₁) = (4 - 6) / (8 - 3) = -2/5

Slope m = -2/5= -0.4

Using y = mx + c, using point (3, 6)

y = -0.4x + c

6 = -0.4*3 + c

6 = -1.2 + c

6 + 1.2 = c

7.2 = c

c = 7.2

Equation = : y = -0.4x +c

y = -0.4x + 7.2

y = -4/10 + 72/10

10y = -4x + 72

5y = -2x + 36

Equation =: 5y = -2x + 36

Hope this explains it.

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When the crispy treats have cooled Mrs. Williams cut theme into 30 equal pieces and she give 2/5 to her son and takes the rest t

stiv31 [10]

Answer: Mrs, William takes 18 treats to school.

Step-by-step explanation:

Given: When the crispy treats have cooled Mrs. Williams cut theme into 30 equal pieces .

She give 2/5 to her son, then the number of treats ahe give to her son = $\frac{2}{5}30=12$

Then, the number of treats Mrs. Williams take to school = $30-12=18$

Hence, Mrs, William takes 18 treats to school.

6 0

2 years ago

1.89E12. What does e stand for

Eduardwww [97]

The "e" just lets you know that it's scientific notation.

5 0

3 years ago

Read 2 more answers

PLEASE HELP! 15PTS! GIVE EXPLANATION!

Tanzania [10]

1/3m +3 - 5/6m= -15
I am going to change the first fraction to match the second fraction
2/6m +3 - 5/6m= -15
Simplify by subtracting 5/6m from 2/6m
-3/6m +3 = -15
Subtract 3 from each side
-3/6m = -18
Take the minus signs off
3/6m = 18
Simplify
1/2m = 18
Divide by 1/2 on each side
m= 18 ÷ 1/2= 36
Option D, m is 36

Hope this helped

6 0

3 years ago

Read 2 more answers

The gcf of two numbers is 170. neither number is divisible by the other. what is the smallest these two numbers could be? (prime

ivanzaharov [21]

Answer:

$340$

Step-by-step explanation:

Given: GCF of two numbers is $170$ . neither number is divisible by the other.

To Find: smallest of these two number.

Solution:

As GCF of two numbers is $170$ , both number are divisible by $170$ .

Prime factor of $170$ $=2\times5\times17$

multiples of $170$ are $1\times2\times5\times17=170$

$2\times2\times5\times17=340$

$3\times2\times5\times17=510$

GCF of all three multiples is $170$ ,

Here $340$ and $510$ are the two multiples whose GCF is $170$ and neither is divisible by other

Hence the smallest of two is $340$ , the answer is $340$

6 0

2 years ago

Write an equation for the perpendicular bisector of the line segment joining the two points.

Leona [35]

Points (1, 7) and (-3, 2)

Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)

The slope for the line joining the two points = (2 - 7) / (-3 - 1) = -5/-4

Slope = 5/4

Hence the perpendicular bisector would have a slope of -1/(5/4) = -4/5

By condition of perpendicularity

For points (1, 7) and (-3, 2),

Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)

Midpoint for (1, 7) and (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)

= (-1, 9/2)

Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)

Equation y - y₁ = m (x - x₁)

y - 9/2 = (-4/5) (x - -1)

y - 9/2 = (-4/5)(x + 1)

   5(y - 9/2) = -4(x + 1)

   5y - 45/2 = -4x - 4

   5y = -4x - 4 + 45/2

5y + 4x = 45/2 - 4

5y + 4x = 22 1/2 - 4 = 18 1/2

5y + 4x = 37/2

10y + 8x = 37

The equation of the line to perpendicular bisector is 10y + 8x = 37

7 0

3 years ago