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adoni [48]
3 years ago
15

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

Mathematics
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

4 0
2 years ago
Suppose I pick a jelly bean at random from a box containing eight red and four blue ones. I record the color and put the jelly b
Verdich [7]
I am not sure about this but in my opinion it would be 32 sorry if It's wrong. I hope this helped! :)
(I couldn't understand the question correctly)
7 0
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

x^{k+1} - 1\\=(x-1)x^k + x^k - 1\\=(x-1)x^k + y(x-1)\\(x-1)(x^k + y)

Thus, x^k - 1 is divisible by x-1.

Hence, by principle of mathematical induction, the given statement is true for all natural numbers,n.

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3 years ago
{(1, 2)
Talja [164]

Answer:

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7 0
3 years ago
In a right​ triangle, find the length of the side not given. a equals=6​, c equals=10
lbvjy [14]
B=8
6^2+B^2=10^2
36+b^2=100
100-36=64
The square root of 64 is 8
4 0
3 years ago
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