3x+7=13
move +7 to the other side
sign changes from +7 to -7
3x+7-7= 13-7
3x= 6
divide by 3 for both sides
3x/3= 6/3
x=2
Answer : x= 2
Answer:
2.5 hours
Step-by-step explanation:
<em>Let t = time in hours for reach friend's house
</em>
<em>(t-1.5) = time for friend to drive her home
</em>
:
Both trips are the same distance, Write a distance equation from this fact:
<em>Distance = speed * time
</em>
<em>Drive distance = Bike distance
</em>
<u>Equation-</u>
<u>step1)</u> 25 (t-1.5) = 10t (here u multiply 25 by t and 25 by 1.5)
<u>step2</u>) 25t - 37.5 = 10t (move 37.5)
<u>step3)</u> 25t - 10t = +37.5 (subtract 25t from 10t)
<u>step4</u>) 15t = 37.5 (divide 37.5 by 15)
<u>step5</u>) t = 2.5 (time it took Luke to reach his aunt's house)
Step-by-step explanation:
the x distance from A to B is 3 (from -1 to 2), and the y distance is 15 (from -4 to 11).
the x distance from C to D is also 3 (from 1 to 4), but the y distance is 9 (from 1 to 10).
so, the slopes are different
AB : 15/3 = 5
CD : 9/3 = 3
and the lines are therefore not parallel.
perpendicular slopes are simply inverting y and x in the ratio and flip the sign (from - to + and vice versa). but that is not the case here either (just to start - both slopes are positive).
so, the 2 lines are "neither".
Answer:
x = 13.6 in
Step-by-step explanation:
The arc x is calculated as
x = circumference of circle × fraction of circle
= 2πr × 
( cancel the 2π on numerator/ denominator )
= 17 × 0.8
= 13.6 in
