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egoroff_w [7]
4 years ago
7

Graph the linear equation by plotting the x and y intercepts x +4y -16 =0

Mathematics
1 answer:
ira [324]4 years ago
5 0

Answer:

x intercept = 16

y intercept = 4

Step-by-step explanation:

For the x intercept...y = 0...where the equation would be...x + 4(0) = 16..hence giving us the x intercept as... x = 16

For the y intercept...x = 0...where if we substitute x = 0 into our equation...the equation would be....0 + 4y = 16..hence giving us..., 4y = 16...divide both sides by 4...y = 4

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Answer:

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Step-by-step explanation:

5 0
3 years ago
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Solve these systems of equations Using the elimination method.
grandymaker [24]
A. 3x + y = 13 → 15x + 5y = 65
    x -  5y = 15 →     x -  5y = 15
                                     16x = 80
                                      16     16
                                        x = 5
                                 x - 5y = 15
                                 5 - 5y = 15
                               - 5          - 5
                                     -5y = 10
                                      -5     -5
                                        y = -2
                                 (x, y) = (5, -2)

b.    6x - y = 14
      2x + y = 12
            8x = 26
             8      8
              x = 3¹/₄
       6x - y = 14
6(3¹/₄) - y = 14
   19¹/₂ - y = 14
 - 19¹/₂       - 19¹/₂
             -y = -5¹/₂
             -1      -1
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        (x, y) = (3¹/₄, 5¹/₂)

c. 3x -  4y = 22 → 15x - 20y = 110
    2x + 5y =   7 →  8x + 20y =   28
                                        23x = 138
                                         23       23
                                            x = 6
                                   3x - 4y = 22
                                3(6) - 4y = 22
                                   18 - 4y = 22
                                 - 18         - 18
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                                          -4    -4
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8 0
3 years ago
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Please help me with this
postnew [5]
Area of a regular polygon = 1/2 x apothem x perimeter

We know that each side is 10, because if you draw a segment from the center to a vertex it creates a 30-60-90 triangle (those are the angles). This type of triangle has a ratio for its sides where the longer side is radical three times as long as the shorter leg. This shorter leg happens to be half of a side of the polygon. Knowing that the polygon has 6 sides, we can multiply 10 by 6 to get the perimeter. 

Area of polygon = 1/2 x apothem x perimeter = 1/2 x 5\sqrt{3} x 60
=30 x  5\sqrt{3}
= 30 x 5 x <span>1.73205080757
= 150 x </span><span>1.73205080757
= </span><span>259.807621135

To the nearest tenth of a cm, the area of the polygon is 260 cm squared</span>
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21 phones because 3.5% of 600 = 21.
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ollegr [7]

we can sue formula

P(t)=P_0e^{kt}

where

P(t) is population after t years

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k is growth rate

t is time in years since 1985

Let's assume

h(t)=P(t) is million

h_0=P_0 in million

we can replace it

and we get

h(t)=h_0e^{kt}..............Answer

7 0
3 years ago
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