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Alexxandr [17]
3 years ago
8

Find an equation for a line that passes through points -4,3 and 6,5

Mathematics
2 answers:
MatroZZZ [7]3 years ago
7 0
First you would want to find the slope. The equation for slope is y2-y1/x2-x1.

So the slope would be 5-3/ 6-(-4). Two negatives make a positive so it would be 5-3/6+4 or 2/10 which can be simplified to 1/2.

Next you used the point slope form equation. y-y1 =m(x-x1)

m is the slope we just found: 1/2
the equation would be = y-3=1/2(x-(-4))

two negatives make a positive so the equation would now be y-3=1/2(x+4)

You then distribute the x to what is in the parenthesis

y-3=1/2x+2
then add the 3 to both sides

you’re equation should be y=1/2+5



pickupchik [31]3 years ago
3 0

Answer: Find the equation of the line that passes through the points (-6,2) and (-5,3). Write your answer in standrard form. Answer by fractalier(6550) ...

Step-by-step explanation:

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Romashka-Z-Leto [24]

Answer:

0.69473828 radians east of north.

Step-by-step explanation:

Interpreting the information given on a Cartesian plane, the position of the ship will be (1,0) and that of the rock will be (7,5). Connecting the point (1,0) and (7,5) with a line and dropping a perpendicular line from point (7,5) to the x-axis to intersect the x-axis at (7,0), will form a right-triangle with base length 6 units and a height of 5 units.

<u>Finding the base length from points (1,0) and (7,0)</u>

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(7-1)²

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<u>Finding the height from points (7,5) and (7,0)</u>

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(7-7)² + (0-5)²

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So you now have a right triangle with base length 6 units and height 5 units.

To get the bearing of rock from ship position you apply the formula for tangent of an angle

Tan Ф = length of opposite side/length of adjustment side

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Tan Ф =0.83333333333

Tan⁻¹ (0.83333333333) =0.69473828 radians east of north.

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3 years ago
The area of a rectangular pool is given by the trinomial 2y^2-y-3. What are the possible dimensions of the pool? Use factoring.
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Step-by-step explanation:

1.49 \times 0.0000001 = 0.000000149 = 1.49

in this problem you also need to use scientific notation period to do scientific notation you need to go to the first non-zero digit after the decimal . and in this case that is one next thing you do is put the next numbers after the decimal that you just put in front of the one which is 49 in this case and that gives you your answer of 1.49

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