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Elenna [48]
2 years ago
6

What's the slope of the line passing through the points -1, 8 - 7, 3​

Mathematics
1 answer:
tatuchka [14]2 years ago
5 0

Answer:

slope = 5/6

Step-by-step explanation:

Since you were given two points, you can use the point-slope formula to find the slope. The general equation looks like this:

y₁ - y₂ = m(x₁ - x₂)

In this formula, "m" represents the slope. To find the slope, plug the values from the two points into the equation. Make sure to put the values from the same point in the variable with the same number.

Point 1: (-1, 8)

Point 2: (-7, 3)

y₁ - y₂ = m(x₁ - x₂)                          <----- Original formula

8 - y₂ = m(-1 - x₂)                           <----- Plug in "x" and "y" values from Point 1

8 - 3 = m(-1 - (-7))                           <----- Plug in "x" and "y" values from Point 2

5 = m(-1 - (-7))                                <----- Simplify left side

5 = m(6)                                        <----- Simplify inside parentheses

5/6 = m                                       <----- Divide both sides by 6

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The number of bacteria in petri dish A doubles every 10 minutes. The number of bacteria in oetri dish B doubles every 6 minites.
marissa [1.9K]
Givens
Petri Dish A sees a double ever 10 minutes
Petri Dish B sees a double ever 6 minutes

Consequences
A doubles 60 / 10 = 6 times.
B doubles 60 / 6 = 10 times.

Solution
If you work best with numbers then suppose there are 100 bacteria in both dishes at the beginning
A = 100 * 2^6
B = 100 * 2^10

A will have 100 * 64 = 6400 bacteria growing inside A
B will have 100 * 1024 = 102400 bacteria growing inside B

B/A = 102400 / 6400 = 16

There are 16 times as many in B than in A. <<<< Answer

7 0
3 years ago
Can someone help me with this please? Thank you!
Finger [1]

Answer:

528 cm²

Step-by-step explanation:

First I would calculate the area of the side rectangles:

20 x 9 = 180 cm²

There are two identical rectangles on both sides so i would x2

180 x 2 = 360 cm²

The area of the middle rectangle:

6 x 20 = 120 cm²

The area of the triangles:

Area of a triangle = (Base x Height)/2

8 x 6 = 48

48 ÷ 2 = 24

There are two identical triangles on the bottom and the top so x2

24 x 2 = 48

Now add all the values up:

360 + 120 + 48 = 528 cm²

I hope this helps!

5 0
2 years ago
Calculate the volume of a cone with r=6.2 and h=10.9 and Pi=3.14
slega [8]

Answer: The volume(v) is 438.77.

Explanation: The formula for a right circular cone is in the image.

5 0
3 years ago
Simplify -4 1/4-(-9 1/2) = ? <br><br>A. -13 1/3 <br>B. -5 1/4<br>C. 13 1/3<br>D. 5 1/4​
bagirrra123 [75]

Answer:

B

Step-by-step explanation:

Hope this helps

5 0
3 years ago
How do I find the direction of the rotation and the magnitude ​
Eddi Din [679]

I dont know I would.ask the teacher

6 0
3 years ago
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