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umka21 [38]
3 years ago
12

The area of triangle ABC is?

Mathematics
1 answer:
melisa1 [442]3 years ago
5 0

Answer:

A(\triangle ABC) =17.5 \:  {units}^{2}

Step-by-step explanation:

AB = 4 - (-3) = 4 + 3 = 7 units

BC = 3 - (-2) = 3 + 2 = 5 units

A(\triangle ABC) = \frac{1}{2} \times AB\times BC \\  \\ A(\triangle ABC) = \frac{1}{2} \times 7\times 5 \\  \\ A(\triangle ABC) = \frac{1}{2} \times 35 \\  \\ A(\triangle ABC) =17.5 \:  {units}^{2}

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antoniya [11.8K]
The answer is 4...... More than positive.
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3 years ago
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Find all solutions to the following system of equations -y²+6y+x-9=0 ; 6y=x+27.Illustrate with a graph.
Dimas [21]

Answer:

The solution to the system is the pair (9, 6)

Step-by-step explanation:

Hi!

First, let´s write the system of equations:

-y² + 6y + x -9 = 0

6y = x +27

The solutions of the system are the pairs (x, y) that satisfy both equations.

Let´s take the second equation and solve it for x:

6y = x +27

Subtract 27 from both sides of the equation

6y - 27 = x

Now, we can replace x in the first equation and solve it for y:

-y² + 6y + x -9 = 0

-y² + 6y + 6y - 27 -9 = 0

-y² + 12y - 36 = 0

Notice that -y² + 12y - 36 = -(y - 6)², then:

-(y - 6)² = 0

y - 6 = 0

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(alternatively you can solve the quadratic equation using the quadratic formula).

Now let´s find the value of x:

x = 6y -27

x = 6·6 -27

x = 9

The solution to the system is the pair (9, 6)

Please see the attached figure. The point where the curves intersect is the solution to the system.

6 0
3 years ago
Help me with this plz
wel

Answer: 42

Step-by-step explanation:

7 0
3 years ago
Round 4.9 to the nearest whole number<br>​
mina [271]

Answer:

5

Step-by-step explanation:

4.9 is closer to 5 than 4

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Vesnalui [34]

Answer:

Step-by-step explanation:

2x-6=x+14

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6 0
2 years ago
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