Answer:
Step-by-step explanation:
<u>Given points </u>
<u>Use slope formula to find the slope</u>
- m = (y2 - y1)/(x2 - x1)
- m = (-7 -5)/(1 + 2) = -12/3 = -4
Slope is -4
I think the answer is 6 from the information you provided.
Answer: < -4/5, 3/5>
This is equivalent to writing < -0.8, 0.6 >
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Explanation:
Draw an xy grid and plot the point (-4,3) on it. Draw a segment from the origin to this point. Then draw a vertical line until reaching the x axis. See the diagram below.
We have a right triangle with legs of 4 and 3. The hypotenuse is 
through use of the pythagorean theorem.
We have a 3-4-5 right triangle.
Therefore, the vector is 5 units long. This is the magnitude of the vector.
Divide each component by the magnitude so that the resulting vector is a unit vector pointing in this same direction.
Therefore, we go from < -4, 3 > to < -4/5, 3/5 >
This is equivalent to < -0.8, 0.6 > since -4/5 = -0.8 and 3/5 = 0.6
Side note: Unit vectors are useful in computer graphics.
Hey there! I'm happy to help!
We want to find to find the length of the wire that will go around the friends field. The distance around something is called the perimeter. To find this, we will take our two sides with the length of 219 and two sides with the width of 7525 and then add them.
2(219)+2(7525)=15488
Therefore, we will need a wire with a length of 15488.
I hope that this helps! Have a wonderful day!
Answer:
Step-by-step explanation:
As we move from the point (2, 4) to the point (3, 6), x increases by 1 and y increases by 2. Thus the slope of the line connecting these two poins is m = rise/run = 2/1, or just 2.
Use the basic point-slope equation: y - k = m(x - h). Substitute 2 for x, 4 for y and 2 for m:
y - 4 = 2(x - 2). This is the desired equation in point slope form.
To find the equation in standard form, perform the multiplication as follows:
y - 4 = 2x - 4. We want this to look like Ax + By = C.
Thus, subtract 2x from both sides:
-2x + y = -4, or
2x - y = 4 This is the desired equation in Standard Form.
