3 because the next number to the right is a 0 and will not be rounded up.
Think: To write the equation of a line in slope-intercept form y=mx+b, you must have the slope (m) and the y-intercept (b).
g(0)= -6 tells us that the y-intercept is (0, -6). Thus, b= -6.
(0,-6) and (15,-9) are points on the line. Find the slope of the line. It is:
-9-(-6)
m = ------------- = -3/15 = -1/5
15-0
Thus, the equation of the line in question is y=(-1/5)x - 6.
Important that you understand that g(0)=-6 is also represented by (0,-6), and that -6 is the y-intercept.
Answer:
11.2 miles
Step-by-step explanation:
We can create a triangle from the information given.
<u>We can call the starting point (0,0) in the coordinate system.</u>
- <u>10 mi east</u> - 10 miles to the right. then,
- <u>5 mi north</u> - 5 miles above
<em><u>See the attached picture. The direct distance is labeled as x.</u></em>
Now we need to find x using pythagorean theorem.
Pythagorean Theorem = leg²+leg²=hypotenuse²
Solving for x:
<em>Rounding to nearest tenth, we have </em><em>11.2 miles</em>
"A scale factor is a number which scales, or multiplies, some quantity. ... In the field of measurements, the scale factor of an instrument is sometimes referred to as sensitivity. The ratio of any two corresponding lengths in two similar geometric figures is also called a scale factor." (not my wording but i hope this helps)
I am guessing you want to round to the tenths, because nothing comes after the hundredths. So it would be 0.9. (But it would stay the same if you are rounding to the hundredths.)
