The corresponding height of the triangle is 1.6 units
The formula for calculating the area of a triangle is expressed as:
- b is the base of the triangle
- h is the height of the triangle
Given the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:
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)]\\](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Bx_1%28y_2-y_3%29%2Bx_2%28y_3-y_1%29%2Bx_3%28y_1-y_2%29%5D%5C%5C)
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](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B%28-1%29%282-%28-1%29%29%2B3%28-1-1%29%2B-1%281-2%29%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B%28-1%29%283%29%2B3%28-2%29%2B-1%28-1%29%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B-3-6%2B1%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%20%28-8%29%5C%5C%7CA%7C%20%3D4%20units%5E2)
Recall that:
Hence the corresponding height of the triangle is 1.6 units
Learn more on area of triangles here: brainly.com/question/17335144
Answer:
14. - 15
Step-by-step explanation:
The first one is located at 14. The second one is located at - 15
Answer:
11
Step-by-step explanation:
11*2=22, 22+14=36, quick maths
The solutions are
- it is going to take 15.9 months to raise 10000 dollars
- You will have $37.31 after you have bought the car
- The money deficit would be $37.31
<h3>How to solve the question</h3>
a. 10000 = 9359.08e(0.05)
e⁰⁰⁵ = 10000/9359.08
= 0.05 = ln(10000/9359.08)
= 1.325 years
convert to months = 15.9 months
Hence it is going to take 15.9 months to raise 10000 dollars
b. 9359.08 x e^(0.05 x1.25)
= 9962.69
10000 - 9962.69
= $37.31
You will have $37.31 after you have bought the car
c. The money loss and the deficit would be same as above $37.31
d. ln(e^a) = a
We can clearly see that the money cannot be raised in the 15 months from $ 9359.08. there is a deficit amount of $37.31
Read more on compound interest here: brainly.com/question/24924853
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Answer:
M = 1170 g
Step-by-step explanation:
Mass = density × volume
M = p x v
M = 78 x 15
M = 1170 g
