3 years ago

Write the equation of the line based on the given information explain the answer in slope intercept form

Mathematics

1 answer:

Butoxors [25]3 years ago

7 0

Answer:

y = 2/3 x - 3

Step-by-step explanation:

substitute the given slope and the coordinate into the slope-intercpet form:

y = mx + b to solve for b,

-1 = 2/3(3) + b

=> b = -3

y = 2/3 x - 3

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Two points are selected randomly on a line of length 32 so as to be on opposite sides of the midpoint of the line. In other word

Paladinen [302]

Solution :

Let us consider the squares be $[1, 16] \times [16, 32]$

If x ranges from the 0 to 16 and the y ranges from 16 to 32, we see that the boundary of the region $y-x \geq 9 \text{\ is}\ y - x = 9$ which goes from the $(7, 16 ) \text{ to}\ (16, 25)$ .

And so it is easier to find the area of region where $y-x \leq 9$ . This is the triangle with points $(7,16),(16,25) \text{ and}\ (16,16)$ as its vertices.

The area if the triangle is = $\frac{1}{2} \times 9 \times 9$

= $\frac{81}{2}$

Now the entire area is $(16)^2$ = 256

Then, $P(y-x \leq 9) = \frac{81/2}{256} =\frac{81}{512}$

or $P(y-x \geq 9) = 1 - \frac{81}{512}=\frac{431}{512}$

Thus the answer is $\frac{431}{512}$

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3 years ago

I will give brainliest for the best awnser

hodyreva [135]

I worked it out and I got south Africa

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3 years ago

Read 2 more answers

Find the point of intersection of the lines 3=6x-y and 3x-2y=24 ?

Svet_ta [14]

$\left \{ {{3=6x-y\ \ |*(-2)} \atop {3x-2y=24}} \right. \\\\ \left \{ {{-6=-12x+2y} \atop {24=3x-2y}} \right. \\+----\\add\ both\ equations\\\\
18=-9x\ \ \ | divide\ by\ -9\\\\
x=-2\\\
y=6x-3=6*(-2)-3=-12-3=-15\\\\
Point\ of\ intersection:\ (-2,-15)$