125feet/5sec = 25feet/sec
Answer:
I think it's -13
Step-by-step explanation:
The 3rd graph: Dotted line with shading on the right
- Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept.
If two lines are perpendicular, then they will have slopes that are <u>negative reciprocals</u> to each other. An example of negative reciprocals are 2 and -1/2
<h2>6.</h2>
Now with line 2, I have to convert it to slope intercept form. Firstly, subtract 2x on both sides of the equation: ![-5y=-2x+8](https://tex.z-dn.net/?f=%20-5y%3D-2x%2B8%20)
Next, divide both sides by -5 and your slope-intercept form is ![y=\frac{2}{5}x+\frac{8}{5}](https://tex.z-dn.net/?f=%20y%3D%5Cfrac%7B2%7D%7B5%7Dx%2B%5Cfrac%7B8%7D%7B5%7D%20)
Now since 2/5 is <em>not</em> the negative reciprocal of -2/5, <u>these lines are not perpendicular.</u>
<h2>7.</h2>
It's pretty much the same process; convert to slope-intercept and determine if negative reciprocal. This time I'll brush through them:
![6x-3y=15 \\-3y=-6x+15\\y=2x-5\\\\2x+4y=-12\\4y=-2x-12\\y=-\frac{1}{2}x-3](https://tex.z-dn.net/?f=%206x-3y%3D15%20%5C%5C-3y%3D-6x%2B15%5C%5Cy%3D2x-5%5C%5C%5C%5C2x%2B4y%3D-12%5C%5C4y%3D-2x-12%5C%5Cy%3D-%5Cfrac%7B1%7D%7B2%7Dx-3%20)
Now since 2 <em>is</em> the negative reciprocal of -1/2, <u>these lines are perpendicular.</u>
Answer:
Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.