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Tema [17]
3 years ago
5

Write the equation of a line of a line passing through the points (3,1) and (6,3).​

Mathematics
2 answers:
Natasha2012 [34]3 years ago
8 0

Answer:

y =2/3x-1

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( 3-1)/ (6-3)

   = 2/3

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = 2/3x +b

Using a point

3 = 2/3(6)+b

3 = 4+b

3-4 =b

-1=b

y =2/3x-1

maxonik [38]3 years ago
5 0

Answer:

i think its 2 1

Step-by-step explanation:

You might be interested in
Jake bought 2 shirts and 1 pair of pants for $6. Mike bought 1 shirt and 1 pair of pants for $4. How much is each shirt and each
EastWind [94]

The cost of a shirt and a pair of pants is the same and is equal to $2. The correct option is B.

<h3>What is a solution to a system of equations?</h3>

For a solution to be the solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at a single point(as we need a common point, which is going to be the intersection of course)(this can be one or many, or sometimes none)

Let x represent the cost of a shirt, while y represent the cost of a pair of pants.

Given that Jake bought 2 shirts and 1 pair of pants for $6. Therefore, the equation that represents this situation is,

2x + y = 6 ..... equation 1

Also, Mike bought 1 shirt and 1 pair of pants for $4. Therefore, the equation that represents this situation is,

x + y = 4

Solve the equation for x,

x = 4 - y

Substitute the value of x in equation 1,

2x + y = 6

2(4 - y) + y = 6

8 - 2y + y = 6

-y = 6 - 8

-y = -2

y = 2

Substitute the value of y in equation 1,

2x + y = 6

2x + 2 = 6

2x + 2 = 6

2x = 6 - 2

2x = 4

x = 4/2

x = 2

Hence, the cost of a shirt and a pair of pants is the same and is equal to $2.

Learn more about finding the solution graphically here:

brainly.com/question/26254258

#SPJ1

6 0
1 year ago
7/8y + 1/2 = 1 1/5<br><br> Solve for y.
abruzzese [7]

Answer:

y = 4/5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

7/8y + 1/2 = 1 1/5

<u>Step 2: Solve for </u><em><u>y</u></em>

  1. Convert to improper fraction:                                                                          7/8y + 1/2 = 6/5
  2. [Subtraction Property of Equality] Subtract 1/2 on both sides:                       7/8y = 7/10
  3. [Division Property of Equality] Divide 7/8 on both sides:                              y = 4/5
3 0
3 years ago
Find the surface area of the composite solid.
Dvinal [7]

Answer:

281 ft^2

Step-by-step explanation:

We need to add each individual 2d shape together to find the surface area

Bottom: 5*12 = 60

Left side and right side: 4*5 = 20, 2 sides so 20*2= 40

Side facing us and side facing away from us: 12*4 = 48, 2 sides so 48*2=96

Top side that is cut by base of triangle: 7*5 = 35

Each triangle face: base = 5 (12-7), height = 5             1/2base * height so each triangle is .5*5*5 = 12.5; 4 triangles so 12.5*4=50

60+40+96+35+50=281

4 0
2 years ago
Read 2 more answers
If f(x)= 15x+7x and g(x)= x^2-5x, find (f+g)(x)
cupoosta [38]

Answer:

(f+g)(x) = x^2 +10x +7

Step-by-step explanation:

(f+g)(x) = f(x) +g(x) = (15x +7) +(x^2 -5x)

= x^2 +x(15 -5) +7

= x^2 +10x +7

7 0
3 years ago
Which statement illustrates the distributive property? <br> Please help
bogdanovich [222]
<span>It's letter C

Addition, you can have 6 + 107 = 113 </span>
<span>Commutative Property by moving: 107 + 6 = 113 </span>
<span>Associative Property by grouping: (3 + 3) + (100 + 7 ) = 113 </span>
<span>Distributive Property by allotting: 2 (3) + 107 = 113   </span>

<span>Multiplication, you can have 6 x 107 = 642 </span>
<span>Commutative Property by moving: 107 x 6 = 642 </span>
<span>Associative Property by grouping: (3 + 3) x (100 + 7 ) = 642 </span>
<span>Distributive Property by allotting: 2(3) x 107 = 642<span>
</span></span>
5 0
3 years ago
Read 2 more answers
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