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pantera1 [17]
3 years ago
14

Area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4).

Mathematics
1 answer:
qwelly [4]3 years ago
5 0
Here: (Aₓ, Ay) = (-3,-4), (Bₓ, By) = (-7,0), (Cₓ, Cy) = (-3, 4)
Now, Formula of area of triangle is:

area = [Aₓ(By - Cy) + Bₓ(Cy - Ay) + Cₓ(Ay - By)] / 2

Substitute the values in to the expression, 
area = [-3(0-4) - 7(-4-(-4)) - 3(-4-0)] / 2
area = [-3(-4) -7(0) -3(-4)] / 2
area = [12-0+12] / 2
area = 24 / 2
area = 12

Final answer would be 12 units.

Hope this helps!
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State the point on the line y - 18 = 71.3(x +98)
krek1111 [17]

9514 1404 393

Answer:

  (-98, 18)

Step-by-step explanation:

We recognize the equation as being in the "point-slope" form.

  y -k = m(x -h) . . . . . . . a line with slope m through point (h, k)

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Comparing this form to the given equation, we identify the parameters as ...

  k = 18, m = 71.3, h = -98

The point on this line is (h, k) = (-98, 18).

6 0
3 years ago
Measures of Center and Variability
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1. The mean of all the numbers is 41.
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Wittaler [7]
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4 0
3 years ago
Determine how much water needs to be evaporated from 15 kilograms of a 6% salt solution to produce an 8% salt solution.
mario62 [17]
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CK
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7 0
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Sally and her friend Lucie started saving money for their vacation on the same day. Sally started with $150 and plans to add $5
solniwko [45]

Answer:

Their savings will be same after 25 weeks.

Step-by-step explanation:

The difference in both person's saving is $ 2/week

$5-$3=$2

The total difference in the starting point is $50 if we divide $50 by $2 we will get a number of 25 which is the number of weeks it will take both savings to reach at a same level

Calculation:

Starting point $150

Savings $5/week

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Starting point: $200

Savings 3$/week

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