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Goshia [24]
3 years ago
10

2x - 5y = 5 and y = x + 2

Mathematics
2 answers:
Dafna1 [17]3 years ago
8 0

Answer:7

Step-by-step explanation:

mars1129 [50]3 years ago
7 0

Answer:

x = -5 & y = -3

Step-by-step explanation:

2x - 5y = 5          --------------------------(I)

y = x + 2               -----------------------(II)

Using substitution method

Substitute y = x + 2 in equation (I)

            2x - 5(x + 2) = 5            

      2x - 5*x + (-5)*2 = 5

            2x - 5x - 10  = 5        

Combine like terms

                -3x - 10 = 5               {Add 10 to both sides}

                        -3x = 5 +10

                        -3x = 15                 {Divide both sides by (-3)}

                           x = 15/(-3)

x = -5

Substitute the x = (-5)  in equation (II)

y = -5 + 2

y = -3

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riadik2000 [5.3K]

Answer:

hello : k = - 9

Step-by-step explanation:

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by (*) and (**) : 3+k = -6

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3 years ago
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3 years ago
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Degger [83]

Answer:

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Step-by-step explanation:

step 1

Find the slope

we have

(0,-6) and (1,4)

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3 years ago
Round to nearest thousandth!! (3 decimal places) photo attached
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Answer:

<em>Probability point lies on shaded region: ( About ) 0.294</em>

Step-by-step explanation:

<em>~ If we are to find the probability, we must find the area of the shaded figure, over that of the total area of this trapezoid ( whole figure ) ~</em>

Let us get the general dimensions. Firstly, the base of the trapezoid is composed of parts 5, 12, and 5. This is an isoceles trapezoid, meaning that the triangles ( shaded region )  are congruent to one another, including the altitudes. That would mean the non - shaded region is a parallelogram, provided altitudes are congruent and by definition of a trapezoid the bases are congruent.

1. Given the information above, the smaller base is congruent to the opposite side of the parallelogram created, so it is 12 units in length, the larger base being 12 + 5 + 5 ⇒ 22 units

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5. The shaded region is composed of two triangles, and knowing the triangles are ≅, let us solve for the area of one triangle and multiply that by 2 to find the total area of the shaded region. Area of triangle: 1/2 * base * altitude ⇒ 1/2 * 5 * 12 ⇒ 30 units^2. Area of shaded region: 30 * 2 = 60 units^2

<em>Probability point lies on shaded region: 60/204 ⇒ ( About ) 0.294</em>

8 0
3 years ago
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irinina [24]

Answer:

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Why:

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8 0
2 years ago
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