What is the equation of the straight line shown below?

Mathematics

1 answer:

Studentka2010 [4]2 years ago

4 0

Answer:

y = x/2 + 8

Step-by-step explanation:

Finding m :

⇒ m = 9 - 8 / 2 - 0

⇒ m = 1/2

C is equal to 8, because it intersects the y-axis at the point (0, 8).

Hence, the equation of the line will be :

⇒ y = mx + c

⇒ y = (1/2)x + (8)

⇒ y = x/2 + 8

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Answer:

$\large \boxed{17}$

Step-by-step explanation:

Let's call the numbers "tu", where t is the tens digit and u is the units digit.

We can solve this by the "brute force" method — examining each number to see if it satisfies the conditions.

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$\begin{array}{cccl}6 & 16, 26, 36, 46 & 1 & \text{Only 36 is divisible by six}\\7 & 17, 27, 37, 47 & 0 & \text{None of the numbers is divisible by seven}\\8 & 18, 28, 38, 48 & 1 & \text{Only 48 is divisible by eight}\\9 & 19, 29, 39, 49 & 0 & \text{None of the numbers is divisible by nine}\\& \textbf{TOTAL =} &\mathbf{17}& \\\end{array}\\\text{$\large \boxed{\mathbf{17}}$ numbers between 10 and 50 are divisible by their units digit}$