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Veseljchak [2.6K]
3 years ago
10

A line goes through the points (1, 2) and (5, 10). Which of the following is the equation of the line?

Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0
The answer is A: y=2x. For more help just google equation of a line solver and calculate it. Have a nice day.
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On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 1), point B is at (3, 2), and points C is at (negativ
oksian1 [2.3K]

The corresponding height of the triangle is 1.6 units

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

A=\frac{1}{2} bh

  • 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:

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

Recall that:

A = 0.5bh\\h=\frac{A}{0.5b}\\h=\frac{4}{0.5(5)}\\h=\frac{4}{2.5}\\h=   1.6 units

Hence the corresponding height of the triangle is 1.6 units

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

8 0
2 years ago
BRAINLIEST AND LOTS OF POINTS! Help please, and quickly!!!!!
Zigmanuir [339]
The answer is 5/9

Hope this helps
8 0
2 years ago
Read 2 more answers
Factor 6x2 + 192 + 3
skad [1K]

Answer:

213

Step-by-step explanation:

u multiply first then add the rest ez

5 0
3 years ago
Read 2 more answers
Last year, Pattersonville had a population of 40,500 people . The census indicated that the population of the town has been decr
AleksandrR [38]

Answer:

34175 people will live in Pattersonville 8 years from now

Step-by-step explanation:

Initial population of Pattersonville =40,500

We are given that The census indicated that the population of the town has been decreasing by 2.1% per year .

Now we are supposed to find If this trend continues , approximately how many people will live in Pattersonville 8 years from now

Formula : N(t)=N_0(1-r)^t

Where N(t)= Population after t years

N_0= Initial population

r = rate of decrease = 2.1 %=0.021

t = 8 years

Substitute the values in the formula :

So,N(8)=40500(1-0.021)^8

N(8)=34175.63223

So, 34175 people will live in Pattersonville 8 years from now

7 0
3 years ago
What is the fractional equivalent of 0.2323
kicyunya [14]
Hello!

Your answer is \frac{23}{99}

If you use a calculator and divide 23 by 99, you will get 0.232323............

Answer ⇒ \frac{23}{99}
8 0
3 years ago
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