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vlabodo [156]
2 years ago
13

Aarón rides his bike away from home at a constant speed he stops at the park for a while before riding back home at a constant s

peed
Mathematics
1 answer:
Nikolay [14]2 years ago
5 0

Answer:

Step-by-step explanation: This is the answer

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7 0
3 years ago
Find the slope of the line that passes through (4,2) and (9,1)?
pshichka [43]

Answer:

The slope of the line is \displaystyle -\frac{1}{5}.

Step-by-step explanation:

We are given two coordinate points:

  • (4, 2)
  • (9, 1)

We are asked to find the slope of the line.

We can use the rise-over-run formula to solve for the slope of the line.

\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}

However, we firstly need to name our coordinate points.

In math, we can label our coordinates using the following label system:

(x_1, y_1), (x_2, y_2)

Therefore, we can also label our coordinates as such:

  • x_1 = 4
  • y_1 = 2
  • x_2 = 9
  • y_2 = 1

Now, we can supply these values into the formula and solve for our slope, or a better known variable, <em>m</em>.

\displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}

Therefore, our slope is \displaystyle -\frac{1}{5}.

8 0
3 years ago
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What is the decimal representation of 2/10 ? 
Marina CMI [18]
2/10 basically means "2 divided by 10".

10 / 2 = .2
7 0
3 years ago
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Solve the quadratic equation by completing the square. x^2-14x+42=0 First, choose the appropriate form and fill in the blanks wi
Tom [10]
X^2 - 14x + 42 = 0
x^2 - 14x = -42
x^2 - 14x + 49 = 49 - 42
(x - 7)^2 = 7
x - 7 = (+-) sqrt 7
x = 7 (+-) sqrt 7

solutions are : x = 7 + sqrt 7 and x = 7 - sqrt 7

5 0
3 years ago
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Find an equation for those points P such that the distance from P to A(0, 1, 2) is equal to the distance from P to B(6, 4, 2). W
suter [353]

Answer:  The required equation for points P is 4x+2y=17.

Step-by-step explanation: We are give two points A(0, 1, 2) and B(6, 4, 2).

To find the equation for points P such that the distance of P from both A and B are equal.

We know that the distance between two points R(a, b, c) and S(d, e, f) is given by

RS=\sqrt{(d-a)^2+(e-b)^2+(f-c)^2}.

Let the point P be represented by (x, y, z).

According to the given information, we have

PA=PB\\\\\Rightarrow \sqrt{(x-0)^2+(y-1)^2+(z-2)^2}=\sqrt{(x-6)^2+(y-4)^2+(z-2)^2}\\\\\Rightarrow x^2+y^2-2y+1+z^2-4z+4=x^2-12x+36+y^2-8y+16+z^2-4z+4~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow -2y+1=-12x-8y+52\\\\\Rightarrow 12x+6y=51\\\\\Rightarrow 4x+2y=17.

Thus, the required equation for points P is 4x+2y=17.

8 0
3 years ago
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