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mario62 [17]
3 years ago
5

Find an equation of the line that passes through the points (1,2) and (2,3).

Mathematics
2 answers:
klemol [59]3 years ago
6 0

Answer:

y=x+1

Step-by-step explanation:

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

m=(3-2)/(2-1)

m=1/1

m=1

y-y1=m(x-x1)

y-2=1(x-1)

y-2=x-1

y=x-1+2

y=x+1

Pie3 years ago
5 0

Slope-intercept form:  y = mx + b

[m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y) or the point where the line crosses through the y-axis]

To find the slope(m), use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}         And plug in the two points

(1, 2) = (x₁, y₁)

(2, 3) = (x₂, y₂)

[lines go from left to right, so the point furthest to the left is the 1st point]

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{3-2}{2-1}

m=\frac{1}{1}

m = 1     Now that you found the slope, plug it into the equation

y = mx + b

y = 1x + b    or   y = x + b        To find b, plug in one of the points into the equation (doesn't matter which point, I will use (1, 2))

2 = (1) + b     Subtract 1 on both sides to get b by itself

2 - 1 = 1 - 1 + b

1 = b      

y = x + 1

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Answer:

12 and 7 meters

Step-by-step explanation:

The area is 84 square meters and the width is 5 meters less than the length. 12 is the length and 7 is the width. 7 is 5 less than 12, and 12*7=84.

The length is 12 and the width is 7

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3 years ago
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6(4x + 5) = 3(x + 8) + 3
24x + 30 = 3x + 24 + 3
24x + 30 = 3x + 27
24x - 3x = 27 - 30
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Which of the following is the best definition of a circle?
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Answer:

The answer is A

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13. The radius of Earth is approximately 6.4 x 100 m. Use the formula V = 4/3pr^3
romanna [79]

<u>We are given</u>

  • Radius of Earth; 6.4 x 100 meters = 640 meters

Clearly, the shape of the earth is a sphere. Thus, to determine the volume of the earth, we will use a formula that determines the volume of a sphere.

\implies \text{Volume of sphere =} \   \dfrac{4\pi r^{3}}{3}

When we substitute the radius in the formula, we get;

\implies\text{Volume of sphere} = \dfrac{4\pi (640)^{3}}{3}

\implies\text{Volume of sphere} = \dfrac{4\pi (640)(640)(640)}{3}

Take π as 3.14

\implies\text{Volume of sphere} = \dfrac{4\pi (640)(640)(640)}{3}

\implies \text{Volume of sphere} = \dfrac{4(3.14)(640)(640)(640)}{3}

Simplify the numerator;

\implies \text{Volume of sphere} = \dfrac{4(3.14)(640)(640)(640)}{3}

\implies \text{Volume of sphere} = \dfrac{3292528640}{3}

Divide the numerator by 3;

\implies \text{Volume of sphere} = \dfrac{3292528640}{3}

\implies \text{Volume of sphere} = \boxed{1097509546.67 \ \text{m}^{3} } \ \ \ (\text{Estimated})

4 0
1 year ago
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