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frosja888 [35]
3 years ago
5

A first number plus twice a second number is 4. Twice the first number plus the second totals 20. Find the numbers

Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

The first number is 6

The second number is -1

6+(-2)=4

6*2=12 12+(-1)=11

Step-by-step explanation:


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Write an equation for the perpendicular bisector of the line segment joining the two points.
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Points (1, 7)  and  (-3, 2)

Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)

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By condition of perpendicularity

For points (1, 7)  and  (-3, 2),

Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)

Midpoint for (1, 7)  and  (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)

= (-1, 9/2)

Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)

Equation  y - y₁ = m (x - x₁)

                y - 9/2 = (-4/5) (x - -1)
           
                y - 9/2 = (-4/5)(x + 1)

               5(y - 9/2) = -4(x + 1)

               5y - 45/2 = -4x - 4

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                  10y + 8x = 37

The equation of the line to perpendicular bisector is 10y + 8x = 37
7 0
4 years ago
George drew a line on a coordinate system by starting at (0,-5), then moved 2 units to the right and 1 unit up to locate each ne
faltersainse [42]

Answer:

y = 1/2x - 5

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I'm going to use slope-intercept form. Your y-intercept is already shown when x is zero, which is (0,-5). Your slope is defined as rise over run, so 1/2 in this case. This gives you an equation of f(x) = 1/2x-5

8 0
3 years ago
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I supose your function is: y(x)=a \cdot b^x

Step 1. Replace the coordinates of the first point in your equation:
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y(x)=5.54 \cdot 1.36^x
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