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Diano4ka-milaya [45]

3 years ago

14

Two race cars,car x an y,are at the starting point of a two km track at the same time.car x and car y make one lap every 60 s an

d every 80 sec respectively.
How long, in minutes, will it take for the faster car to be 5 laps ahead of the slower car?

1 answer:

tino4ka555 [31]3 years ago

4 0

Answer is attached.

Please check the image.

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6. Write an equation of a line that is Parallel to the line: y = 3x -3

jeka94

Answer:

3x - y -6 = 0

Step-by-step explanation:

We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,

$\rm\implies y = 3x - 3$

<u>Slope </u><u>Intercept</u><u> Form</u><u> </u><u>:</u><u>-</u><u> </u>

$\rm\implies y = mx + c$

where ,

m is slope
c is y intercept .

Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .

<u>Using</u><u> point</u><u> slope</u><u> form</u><u> </u><u>:</u><u>-</u><u> </u>

$\rm\implies y - y_1 = m ( x - x_1) \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}$

3 0

2 years ago

Solve for x. Assume that lines which appear tangent are tangent.

NeX [460]

Answer:

x=2

Step-by-step explanation:

The angle formed by two tangents intersecting outside of a circle is half the difference of the intercepted arcs.

This implies that:

$55=\frac{1}{2}(116x+3-(180-55))$

We need to simplify this ad solve for x to get:

$110=(116x+3-125)$

Group the similar terms to get:

$110-3+125=116x$

232=116x

Divide by 116 to get:

x=2

8 0

3 years ago

What's the answer ?????

ra1l [238]

1/2 because it's 2 times smaller

7 0

3 years ago

Can someone plz solve this 6x + (9x + 4) - 11 = 21x - 7

qwelly [4]

Answer:

6x+9x+4-11=21x-7

15x-7=21x-7

15x-21x=0

x=0

8 0

2 years ago

Help me with equations

Mrrafil [7]

Hey there!

Assuming that $"f" = y$

So, let's solve your function, shall we?

$y(-1) = 2 \\ \\ \\ -y= 2 \\ \\ DivideBy(-1) \\ \\ \\ \frac{-y}{1} = \frac{2}{-1} \\ \\ \\ CancelOut: \frac{-y}{1} \\ \\ \\ Keep: \frac{2}{-1} \\ \\ \\ \\ Answer: y = -2 (option D)$

Good luck on your assignment and enjoy your day!

~ $LoveYourselfFirst:)$

6 0

3 years ago