Solve through substitution

–3x+3y=4

y=x+3

can you give me point of intersection

–3x + 3y - 4 =0 and - x + y -3 = 0 do not have any solution which means two lines are parallel and there will be no intersection point.

Solution:

Need to determine solution of following system of equations

–3x + 3y = 4  

y = x + 3  

Let's modify given equation in standard form

–3x + 3y - 4 =0        ------- (1)

- x + y -3 = 0          ------- (2)

Lets first analyze whether given system of equation is having solution or not.

If and are two equation, then if, then the given system of equation has no solution.

In this problem,

So equations –3x + 3y - 4 =0 and - x + y -3 = 0 do not have any solution which means two lines are parallel and there will be no intersection point.

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13