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nadezda [96]
3 years ago
10

Find the slope of the line on the graph

Mathematics
2 answers:
Svetllana [295]3 years ago
5 0

Answer:

<em>m </em>=<em> </em>1/2

Step-by-step explanation:

Use two points on the line given.

(0 , 2) & (-4 , 0)

You are solving for the slope. The slope formula:

<em>m</em> (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-4 , 0)

(x₂ , y₂) = (0 , 2)

Plug in the corresponding numbers to the corresponding variables:

<em>m</em> = (2 - 0)/(0 - (-4))

Simplify:

<em>m</em> = (2)/( 0 - (-4))

<em>m</em> = (2)/(0 + 4)

<em>m</em> = 2/4

Simplify the slope. Divide the common factor 2 from both the numerator and denominator:

<em>m</em> = (2/4)/(2/2) = 1/2

1/2 is your slope.

~

Ludmilka [50]3 years ago
4 0

Answer:

0.5

Step-by-step explanation:

the rise is 4 and the run is 8 so it would be 4/8 or 1/2 which would equal 0.5

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At a restaurant, three salads, two sandwiches, and one drink cost $17.75. One salad, one sandwich, and three drinks cost $10.75.
Leno4ka [110]

Answer:

A salad costs $2.50

A sandwich costs $4.50

A drink costs $1.25

Step-by-step explanation:

Let x represent the salad, y represent the sandwich, and z represent the drink.

Since three salads, two sandwiches, and one drink cost $17.75:

3x + 2y + z = 17.75  (1)

Since one salad, one sandwich, and three drinks cost $10.75:

x + y + 3z = 10.75  (2)

Since a salad costs twice as much as a drink:

x = 2z  (3)

Multiply the equation 2 by -2 then, sum the equation 1 and equation 2:

-2x - 2y - 6z = -21.50

3x + 2y + z = 17.75

→ x - 5z = -3.75

Replace the x with 2z using equation 3:

2z - 5z = -3.75

-3z = -3.75

z = 1.25

x = 2z → x = 2.50

x + y + 3z = 10.75 → 2.50 + y + 3.75 = 10.75 → y + 6.25 = 10.75 → y = 4.50

5 0
3 years ago
Please help me answer this with an explanation
Nata [24]
You need to find the slope first. (-9,-4). (3,4)

-4-4= -8
-9-3 =-12. Slope is -8/-12 or 8/12 or 2/3


Perpendicular is the negative reciprocal. Or flip over the 2/3 and make it negative.

The answer is - 3/2
5 0
3 years ago
Read 2 more answers
12. Samantha can walk 4.5 miles in 30<br> minutes. How many miles can she walk per<br> minute?
Ostrovityanka [42]

Answer:

  0.15 miles per minute

Step-by-step explanation:

You want the rate 4.5 miles in 30 minutes expressed in terms of miles per minute.

<h3>Unit rate</h3>

To find miles per minute, divide miles by minutes.

  speed = miles/minutes = (4.5 mi)/(30 min) = 0.15 mi/min

Samantha can walk 0.15 miles per minute.

4 0
1 year ago
Christopher is deciding between two landscaping companies for his place of business.
Eddi Din [679]

Answer:

A=30t+200

B=50t+100

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30(5)+200= A

  150+200=350

50(5)+100= B

  250+100=350

Step-by-step explanation:

3 0
3 years ago
Find an equation of a plane containing the line r=⟨−5,−1,−1⟩+t⟨−6,10,−5⟩r=⟨−5,−1,−1⟩+t⟨−6,10,−5⟩ which is parallel to the plane
rodikova [14]
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Your plane is
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7 0
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