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3 years ago

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What is the orthocenter of the triangle with two altitudes given by the lines x=-1 and y=x+1

2 answers:

nordsb [41]3 years ago

7 0

Hello there.
<span>
What is the or thocenter of the triangle with two altitudes given by the lines x=-1 and y=x+1
</span>
(-1,0)

timama [110]3 years ago

3 0

The answer to the problem is as follows:

<span>The orthocenter is where the altitudes of a triangle are concurrent (where they intersect each other). On your graph, that would be (-1,0)

I hope my answer has come to your help. God bless and have a nice day ahead!</span>

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A furniture store has a sale during which the sale price of a sofa is 1/3 off its original price. The original price

dmitriy555 [2]

Answer:

$694.06

Step-by-step explanation:

OG price= 1,029

discount=.05

sales tax =.065

1/3(og price)=1/3(1029)=343

one third of $1,029 is 343, hence we take off $343 from the orginial price

1029-343= $686--> sales price

.05*salesprice= .05*686=34.3

subtract 5% discount: 686-34.3= $651.71

=find 6.5% tax: .065*651.71= $42.36

add 6.5% tax: 651.81+42.36=694.06

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2 years ago

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Verdich [7]

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3 years ago

Prove that x-1 is a factor of x^n-1 for any positive integer n.

PolarNik [594]

Answer:

$x-1$ is a factor of $x^n - 1$

Step-by-step explanation:

$x-1$ is a factor of $x^n - 1$

We will prove this with the help of principal of mathematical induction.

For n = 1, $x-1$ is a factor $x-1$ , which is true.

Let the given statement be true for n = k that is $x-1$ is a factor of $x^k - 1$ .

Thus, $x^k - 1$ can be written equal to $y(x-1)$ , where y is an integer.

Now, we will prove that the given statement is true for n = k+1

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3 years ago

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lbvjy [14]

B=8
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