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erica [24]
3 years ago
5

What is the slope of the line through (6,9) and (7,1)

Mathematics
1 answer:
suter [353]3 years ago
6 0
Slope of (6, 9) & (7, 1)

To find the slope, we use the equation : m = y₂-y₁ / x₂-x₁

**Remember : m = slope**

Let's say that (6, 9) is our first set of points, and (7, 1) is our second.

If those are our first and second points, then we now know this :

x₁ = 6, x₂ = 7, y₁ = 9, y₂ = 1

Now that we know that, we can simply plug those points into our slope equation.

m = y₂ - y₁ / x₂ - x₁

m = (1 - 9) / (7 - 6 )

Simplify.

m = -8 / 1

Simplify.

m = -8

So, our slope is -8. 

~Hope I helped!~ 
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A gardener measured the heights of two plants at the end of every week. The function y=3x+8.5 gives the hight of plant a in cent
MAVERICK [17]

Answer:

12 weeks

Step-by-step explanation:

Step one:

given data

let the heights of the plants be y

and the number of weeks be x

Plant A

y=3x+8.5--------------1

Plant B

y=2.5x+14.5----------2

Required

The number of weeks taken for both plants to have the same height

,equate the two expressions above

3x+8.5=2.5x+14.5

3x-2.5x=14.5-8.5

0.5x= 6

divide both sides by 0.5

x= 6/0.5

x= 12 weeks

6 0
3 years ago
What is (x+6)(x+4)(x-3) expand and simplify
mestny [16]

Answer:

x³ + 7x² - 6x - 72

Step-by-step explanation:

Given

(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is

(x + 4)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) + 4(x - 3) ← distribute both parenthesis

= x² - 3x + 4x - 12 ← collect like terms

= x² + x - 12

Now multiply this by (x + 6) in the same way

(x + 6)(x² + x - 12)

= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis

= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms

= x³ + 7x² - 6x - 72

7 0
3 years ago
A cylinder with a height of 4 m has a volume of approximately
tigry1 [53]

Answer:

18m

Step-by-step explanation:

113.04m/3.14 = 36m/4m = 9m*2 = 18m

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3 years ago
A liter is how many quarts
iogann1982 [59]

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