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lara31 [8.8K]
3 years ago
12

7= a-9.2 divided by 3 what does a equal

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
8 0

Answer:

a =  \frac{151}{15}  = 10 \frac{1}{15}

Step-by-step explanation:

7 = a - 9.2 \div 3

7 = a -  \frac{46}{5}  \times  \frac{1}{3}

7 = a -  \frac{46}{15}  =  - a =  -  \frac{46}{15}  - 7

\boxed{\green{a =  \frac{151}{15}  = 10 \frac{1}{15}}}

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The corresponding height of the triangle is 1.6 units

The formula for calculating the area of a triangle is expressed as:

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Given the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\BC= \sqrt{(-1-2)^2+(-1-3)^2}\\BC=\sqrt{3^2+4^2}\\BC=\sqrt{25}\\BC=5units

The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:

A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\

Substituting the coordinate points:

A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2

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Learn more on area of triangles here: brainly.com/question/17335144

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