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xxMikexx [17]
2 years ago
12

Without graphing, find the slope of the line that goes through: (0, 5) and (8, 2) ​

Mathematics
2 answers:
Nata [24]2 years ago
8 0

Answer:

3/-8 is the slope.

Step-by-step explanation:

GREYUIT [131]2 years ago
5 0

Answer: Slope (m) = ΔY/ΔX = -3/8= -0.375

Step-by-step explanation:

θ = arctan( ΔY/ΔX) + 360°= 339.44395478042°

ΔX = 8 – 0 = 8

ΔY = 2 – 5 = -3

Distance (d) = √ΔX2 + ΔY2 = √73 = 8.5440037453175

Equation of the line:

y = -0.375x + 5 or y = -3/8x +5

When x=0, y = 5

When y=0, x = 13.333333333333

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3 0
2 years ago
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How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R
serg [7]

Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

  • x = liters of the 35% acid used.
  • y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

If you want to learn more about systems of equations:

brainly.com/question/13729904

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7 0
1 year ago
Anjali's Bikes rents bikes for $15.24 plus $2.61 per hour. Kathryn paid $30.90 to rent a bike. For how many hours did she rent t
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3 years ago
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Definition of congruent
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Corresponding in character.

Step-by-step explanation:

6 0
2 years ago
Describe the different type of polygons
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Convex Polygons



All of its angles are less than 180°.

All of the diagonals are internal.

Concave Polygons


 At least one angle measures more than 180°.
 At least one of the diagonals is outside the shape of the polygon.

 

Equilateral Polygons


All sides are equal.

 

Equiangular Polygons


All angles are equal.

 

Regular Polygons


They have equal angles and sides

 

Irregular Polygons

They do not have equal angles and sides.

Types of Polygons based on Number of Sides

Triangle


3 sides.

 

Quadrilateral


4 sides.

 

Pentagon


5 sides.

 

Hexagon


6 sides.

 

Heptagon


7 sides.

 

Octagon


8 sides.

 

Enneagon or Nonagon


9 sides.

 

Decagon


10 sides.

 

Hendecagon


11 sides.

 

Dodecagon


12 sides.

 

Tridecagon or triskaidecagon


13 sides.

 

Tetradecagon or tetrakaidecago


14 sides.

 

Pendedecagon


15 sides.

 

Hexdecagon


16 sides.

 

Heptdecagon


17 sides.

 

Octdecagon


18 sides.

 

Enneadecagon


19 sides.

 

Icosagon


20 sides.

 


3 0
3 years ago
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