Answer:
30 years
Step-by-step explanation:
2 is a factor of 30, so the LCM of 2 and 30 is 30.
Saturn and Mars will appear in the same direction in the night sky every 30 years.
Answer:
20,000 because I used my head
Answer:Thus, (-3)-4 = 1/(-3)4.
Step-by-step explanation:
Negative exponents have the following property: n-m = 1/nm OR 1/n-m = nm
So for (-3)-4 , n= -3 and -m= -4 (or m= 4).
Thus, (-3)-4 = 1/(-3)4.
Answer:

Step-by-step explanation:
<u>Slope-intercept form of a linear equation:</u>

where:
- m is the slope.
- b is the y-intercept.
<u>Rearrange</u> the given equation so that it is in <u>slope-intercept form</u>:



Therefore, the slope of the given equation is -⁵/₇.
If two lines are <u>perpendicular</u> to each other (at right angles), the <u>product of their slopes</u> will be -1. Therefore, their slopes will be negative reciprocals of each other.
Therefore, the slope of the line perpendicular to the given equation is:

<u>Substitute</u> the found <u>slope</u> and the <u>given point</u> (6, -5) into the <u>slope-intercept formula</u> and solve for b:



<u>Substitute</u> the found slope and the found value of b into the <u>slope-intercept formula</u> to create the equation for the <u>perpendicular line</u>:

Learn more about slope-intercept form here:
brainly.com/question/27317293
brainly.com/question/27926846
Eight fortyfive would most likely be the answer