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uranmaximum [27]
3 years ago
14

Rearranging Equations: Solve the equation for y: 8x + y = 14 Solve the equation for x: -9x + 3y = 18

Mathematics
1 answer:
podryga [215]3 years ago
7 0

Answer:

y=14-8x

x= -2 + 3y/9x

Step-by-step explanation:

8x+y=14

isolate y so you get:

y=14-8x

-9x+3y=18

isolate x so you get:

-9x=18-3y

divide on both sides to get x by itself

-9x/-9x  18-3y/-9x

x= -2 + 3y/9x

Hope this helps :)

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Answer:

Below

Step-by-step explanation:

You can use this formula to find the sum of an arithmetic series

     Sn = n / 2 (a1 + an)

You need to find the number of terms in each series before using the formula

     Tn = a + (n - 1) d

a) 53 = 5 + (n - 1) 3

      n = 17

Sn = 17 / 2 (5 + 53)

    = 493

b) 98 = 7 + (n - 1) 7

      n = 14

Sn = 14 / 2 (7 + 98)

   = 735

       

c) -102 = 8 + (n - 1) -5

        n = 23

Sn = 23 / 2 (8 + (-102))

   = - 1081

d) 41/3 = 2/3 + (n - 1) 1

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Sn = 14 / 2 (2/3 + 41/3)

    = 301 / 3 or 100 1/3  

Hope this helped! Best of luck <3

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3 years ago
The scale on a map shows that 10 kilometers is represented by 4 centimeters. Which proportion can be used to find the actual dis
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10/4=x/20
Your answer will be x=50 kilometers
3 0
3 years ago
Read 2 more answers
1.- What type of parabola is this?
xz_007 [3.2K]

Answer:

<u>Part 1</u>

<u>Sideways or "horizontal" parabola</u> with a horizontal axis of symmetry.

<u>Part 2</u>

The vertex is the turning point:  (-3, 1)

<u>Part 3</u>

Vertex form of a horizontal parabola:

x=a(y-k)^2+h    

where:

  • (h, k) is the vertex
  • a is some constant
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    If a < 0 the parabola opens to the left.

Point on the curve:  (-1, 2)

Substituting the vertex and the found point into the formula and solving for a:

\implies -1=a(2-1)^2-3

\implies -1=a-3

\implies a=2

<u>Part 4</u>

Equation for the given parabola in vertex form:

x=2(y-1)^2-3

Equation in standard form:

x=2y^2-4y-1

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Three runners competed in a race. Data were collected at each mile mark for each runner. If the runner ran at a constant pace, t
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Answer: Runner C ;)

Step-by-step explanation:

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3 years ago
Which best describes the relationship between the line that passes through the points
yulyashka [42]

Answer:

Perpendicular (A)

Step-by-step explanation:

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Now find the gradient of the second line:

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When we multiply the gradient of two perpendicular lines we will get:

m1 x m2 = -1

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