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motikmotik
3 years ago
10

Evaluate the following algebraic expression: 2 x + y for x = 1 and y = 1​

Mathematics
1 answer:
12345 [234]3 years ago
8 0

Answer:

3

Step-by-step explanation:

2*1+1

2+1

3

how this helps :)

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A triangle has vertices at (1,10), (-5,2), and (7,2). What is its orthocenter. Show your work.
kondor19780726 [428]

Answer:

Question: What is the orthocenter of a triangle with the vertices (-1,2) (5,2) and (2,1)?

The coordinates of point A are (-1,2), point B are (5,2), and point C are (2,1).

The orthocent is the intersection of the three altitudes. An altitude goes from a vertex and is perpendicular to the line containing the opposite side.

In the coordinate plane the equations of the altitudes can be found and then a system of equations can be solved.

Altitude 1. From point C perpendicular to the line containing side AB.

Slope of line AB is 0 (horizontal line), a vertical line is perpendicular to a horizontal line. Thus, the equation of altitude 1 is  x=2 .

Altitude 2. From point B perpendicular to the line containing side AC.

Slope of line AC is  −13 , the slope of a line perpendicular to line AC is 3. The equation of altitude 2 is  y=3x−13  

Altitude 3. From point A perpendicular to the line containing side BC.

Slope of line BC is  13 , the slope of a line perpendicular to line BC is  −3 . The equation of altitude 3 is  y=−3x−1  

The orthocenter is the point where all three altitudes intersect.

x=2  

y=3x−13  

y=−3x−1  

Use substitution to solve the first two equations  y=3(2)−13=−7  

The orthocenter is the point  (2,−7)  

we did not need the third equation, but we can use it as a check, plug the coordinates into the third equation:

−7=−3(2)−1  

−7=−6−1  

−7=−7  it works.

3 0
3 years ago
1. What will be the letter in the following sequence?
svetlana [45]

Answer:

1. G

2. Not sure what you are ask

5 0
3 years ago
Could you help solve this for me
finlep [7]

Answer:

Bro

Step-by-step explanation:

No

5 0
3 years ago
How do I do this and solve it
Nutka1998 [239]
Hey there! :D

Since the sides are equal in length, we know this is an isosceles triangle. It will have two equal angles. 

We already know the vertex is 80 degrees, so the bottom two angles will be equal in measure. All angles in a triangle equal 180 degrees

180-80= 100

100/2= 50 

x= 50

I hope this helps!
~kaikers
4 0
3 years ago
Read 2 more answers
A square has side length 10 yd. What is the length of a diagonal of the square?
Vsevolod [243]

Answer:

10√2

Step-by-step explanation:

Lets cut the square into a triangle, making a line from one corner to another, then let's see what we have.

We shoupd have a triangle where we don't know the hypotenuse, which we can find using the formula: a^2 + b^2 = c^2

so:

10^2 + 10^2 = c^2

100 + 100 = c^2

c^2 = 200

now let's square root what we got

√200

there are 2 10's in 200, which will turn the equation to:

10√2

this can't be simplified further, so our answer is 10√2

3 0
3 years ago
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