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marshall27 [118]
3 years ago
13

Find the area of the triangle whose vertices are (0,4) , (0,0) and (2,0) by plotting them on graph

Mathematics
1 answer:
Luden [163]3 years ago
4 0

Refer to the attached image. Since one vertex is the origin and the other two lay on the coordinate axes, the triangle is a right triangle. This means that, if we consider AB to the be base, AC is his height, and vice versa.

Anyway, it means that the area is given by

A = \cfrac{\overline{AB}\times\overline{AC}}{2}

Since AB is a horizontal segment and AC is a vertical segment, their length is given by the absolute difference of the non-constant coordinate: points A and B share the same x coordinate, so we subtract the y coordinates:

\overline{AB} = |2-0| = |2| = 2

The opposite goes for AC: points A and C share the same y coordinate, so we subtract the x coordinates:

\overline{AC} = |4-0| = |4| = 4

So, the area is

A = \cfrac{2\times 4}{2} = 4

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Please help I will mark brainlist if correct
Virty [35]
We have 2 equations  here  ( b = cost of bush and  t = cost of a tree)

10b + 4t = 246........................................................(1)
5b + 3t = 147      Multiply this equation by -2:-
-10b - 6t = -294.......................................................(2)

Adding equations (1) and (2) we get:-

0 - 2t = - 48

t = -48/-2 = 24

Plug t = 24 into the first equation:-
10b + 4(24) = 246
10b = 246 - 96 = 150
b = 15 

The answer is one bush costs $15 and one tree costs $24.



4 0
3 years ago
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Fynjy0 [20]

Answer:

5

Step-by-step explanation:

4 0
3 years ago
For the end-of-year party, Mt.Rise Middle School ordered 112 pizzas. There were eight fewer veggie pizzas than there were pepper
rodikova [14]
Let the number of pepperoni pizzas be x
pepperoni = x
veggie = x - 8    [<span>There were eight fewer veggie than pepperoni]
</span>combo = 3x       [T<span>here were three times as many combo as pepperoni]
</span>
Given that the total Pizza: 112
x + x - 8 + 3x = 112
5x - 8 = 112
5x = 112 + 8
5x = 120
x = 24

x= 24
x - 8 = 16
3x = 72

So there were 24 pepperoni pizza, 16 veggie pizza and 72 combo pizza

5 0
3 years ago
John should drive to his workplace and back to home. On the way to the workplace it was raining, so he drove at speed of 42mph.
nataly862011 [7]

Answer:

48 mph

Step-by-step explanation: Add 42mph and 54 mph and you get 96.  To find the average of the two --- divide 96 by 2 and you get 48mph as the average speed for the entire trip.

3 0
3 years ago
What are the answers I need help ?
olchik [2.2K]

Answer:

I can't see -_-

Step-by-step explanation:

I can't -_-

7 0
3 years ago
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