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3 years ago

What is the area of triangle QRS? Q(-1 , 2) R(1 , -4) S(-2 , -2)

Mathematics

1 answer:

kogti [31]3 years ago

7 0

$\left[\begin{array}{ccc}-1&2&1\\1&-4&1\\-2&-2&1\end{array}\right]$

Find the determinant

D = [(-1).(-4).1 + 2.1.(-2) + 1.1.(-2)] - [1.(-4).(-2) + (-1).1.(-2) + 2.1.1]

D = [4 - 4 - 2] - [8 + 2 + 2]

D = -10 - 12

D = -22

A = |D|/2

A = |-22|/2

A = 22/2

A = 11

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Rama09 [41]

Answer:

40 m

Step-by-step explanation:

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3 years ago

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2 years ago

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maxonik [38]

Answer:

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Step-by-step explanation:

we know that

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by proportion

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2 years ago

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Chef Selena is making her special dish that requires pasta, sauce, and onions. She has 5 1/8 pounds of pasta, 6 pounds of sauce,

arlik [135]

Answer:

$\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}$

Step-by-step explanation:

The Weight of Ingredients to be used by Chef Selena are:

$5\frac{1}{8}$ pounds of pasta,
6 pounds of sauce; and
$4\frac{7}{8}$ pounds of onions.

Total Weight of Food Made, x

$=5\frac{1}{8}+6+4\frac{7}{8}\\=5+6+4+\frac{1}{8}+\frac{7}{8}\\=16 \: Pounds$

Since each serving is $\frac{1}{2} Pounds$

Number of Servings of her dish, y

$16 \div \frac{1}{2}\\ =32 \: Servings$

The two equations needed to solve the problem are therefore:

$\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}$

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2 years ago

Write an equation in point-slope form of the line that passes through the given point and has the given slope. (3, 2); m = 2/3

77julia77 [94]

Answer:

$y - 2 = \frac{2}{3}(x-3)$

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Slope: $\frac{2}{3}$

Point: (3, 2) = (x1, y1)

To write the equation in point-slope form, we need to know the values of the slope and one point. Since we've already been given those values, all we have to do is input them into the equation:

y - y1 = m(x - x1)

$y - 2 = \frac{2}{3}(x-3)$

The equation in point-slope form is: $y - 2 = \frac{2}{3}(x-3)$

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2 years ago