Answer:
Step-by-step explanation:
A right triangle is formed.
300 miles and 400 miles are the legs of the triangle.
We can apply Pythagorean theorem.
We will use demonstration of recurrences<span>1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation </span>10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, <span>for all positive integers n>=1
</span>3) let's show that the equation<span> is also true for n+1, n>=1
</span><span>10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
</span>let be N=n+1, N is integer because of n+1, so we have
<span>10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
</span>so the equation<span> is also true for n+1,
</span>finally, 10 + 30 + 60 + ... + 10n = 5n(n + 1) is always true for all positive integers n.
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Answer:
<h2> There is no slope.</h2>
Step-by-step explanation:
It means that for a line passing through two points to have the slope, the x-coordinates of these point have to be different.
(-4, 0) and (-4, -10) means x₁ = x₂ = -4, <u>so there is no slope.</u>
{the line is parallel to Y-axis, and has an equation: x=-4}
I hope it’s helpful. y = 2x + 5 x = 1