2 years ago

find the coordinates of the orthocenter with vertices at each set of points on a coordinate plane. (3,1) (10,8) (5,13)

1 answer:

3 0

Answer:

The orthocenter of a triangle is the point of intersection of any two of three altitudes of a triangle (the third altitude must intersect at the same spot).

Step-by-step explanation:

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Can someone help me with this

Morgarella [4.7K]

Answer:

FG=30

Step-by-step explanation:

Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:

$FH=FG+GH$

We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:

$4x=(2x+10)+x$

Solve for x. On the right, combine like terms:

$4x=3x+10$

Subtract 3x from both sides:

$x=10$

So, the value of x is 10.

To find the value of FG, substitute 10 into its x:

$FG=2x+10\\FG=2(10)+10$

Multiply:

$FG=20+10$

Add:

$FG=30$

And we're done!

6 0

2 years ago

Which system of equations can be used to find the roots of the equation 4x^5-12x^4+6x=5x^3-2x?

Sveta_85 [38]

$^{(1)}\ \ 4x^5-12x^4+6x=5x^3-2x\ \ ^{(2)}\\\\ \left\{\begin{array}{ccc}y=4x^5-12x^4+6x\ \ \ ^{(1)}\\y=5x^3-2x\ \ \ ^{(2)}\end{array}\right$

Answer: system nr 4.

7 0

2 years ago

Simplify 6(x + y) + (x - y). 6x 7x 7x + 6y 7x + 5y

poizon [28]

6(x + y) + (x - y)

<em>use distributive property</em>

= 6x + 6y + x - y

<em>combine like terms</em>

= (6x + x) + (6y - y)

8 0

3 years ago

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