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3 years ago

2. Which is an equation of the line with a slope of 2 that passes through (3,-5)?

Mathematics

1 answer:

Vadim26 [7]3 years ago

7 0

Answer:

y + 5 = 2(x - 3) (Answer A)

Step-by-step explanation:

Since the slope and a point on the curve are given, use the point-slope formula for the equation of a straight line:

y - k = m(x - h)

Here, m = 2, h = 3 and k = -5, so we have:

y + 5 = 2(x - 3) (Answer A)

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Christopher's best time in a race is four seconds faster than his second-best time. his second best time is 1 1/3 times slower t

a_sh-v [17]

If his best time is x, and the best time is smaller, then (1+1/3)*x=his second best time. If x+4=his second best time (since his second best time is 4 seconds slower), then (1+1/3)*x=x+4. Multiplying it out, we get (3/3+1/3)*x=x+4
=4x/3=x+4. Subtracting x from both sides, we get 4x/3-3x/3=x/3=4. Multiplying both sides by 3, we get x=12=his best time

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4 years ago

Find the circumference of the circle

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C = 8 x pi
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3 years ago

The drawing of a building, shown below, has a scale of 2 inches to 8.5 feet.

sashaice [31]

Answer:

36 1/8 feet

Step-by-step explanation:

x = height of house in feet

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cross-multiply:

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3 years ago

Which number line graph shows the correct solution to 5 - 3x s 8?

gladu [14]

Answer:

Option 1.

Step-by-step explanation:

Let me know if you want the full explanation. Brainliest please ❤!

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3 years ago

Is the following statement correct? Explain.

Maksim231197 [3]

Answer: The answer is NO.

Step-by-step explanation: The given statement is -

If the graph of two equations are coincident lines, then that system of equations will have no solution.

We are to check whether the above statement is correct or not.

Any two equations having graphs as coincident lines are of the form -

$ax+by=c,\\\\dax+dby=dc,\\\\\textup{where}~~d\neq 1.$

If we take d = 1, then both the equations will be same.

Now, subtracting the second equation from first, we have

$a(1-d)x+b(1-d)y=c(1-d)\\\\\Rightarrow ax+by=c,~\textup{since}~d\neq 1,~\textup{so}~1-d\neq 0.$

Again, we will get the first equation, which is linear in two unknown variables. So, the system will have infinite number of solutions, which consists of the points lying on the line.

For example, see the attached figure, the graphs of following two equations is drawn and they are coincident. Also, the result is again the same straight line which has infinite number of points on it. These points makes the solution for the following system.

$2x+5y=10,\\\\6x+15y=30.$

Thus, the given statement is not correct.

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3 years ago