X - 0.25x = 0.75x

Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2). What is the area of the triangle? a 18 square units b 9 square unit

natka813 [3]

Answer:

Option C. 6 square units

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

Let

a,b,c be the lengths of the sides of a triangle.

The area is given by:

$A=\sqrt{p(p-a)(p-b)(p-c)}$

where

p is half the perimeter

p= $\frac{a+b+c}{2}$

we have

Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

$d=\sqrt{(-3-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(-4)^{2}+(0)^{2}}$

$dAB=4\ units$

step 2

Find the distance BC

$d=\sqrt{(-2+3)^{2}+(1+2)^{2}}$

$d=\sqrt{(1)^{2}+(3)^{2}}$

$dBC=\sqrt{10}\ units$

step 3

Find the distance AC

$d=\sqrt{(-2-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-3)^{2}+(3)^{2}}$

$dBC=\sqrt{18}\ units$

step 4

$a=AB=4\ units$

$b=BC=\sqrt{10}\ units$

$c=AC=\sqrt{18}\ units$

Find the half perimeter p

p= $\frac{4+\sqrt{10}+\sqrt{18}}{2}=5.70\ units$

Find the area

$A=\sqrt{5.7(5.7-4)(5.7-3.16)(5.7-4.24)}$

$A=\sqrt{5.7(1.7)(2.54)(1.46)}$

$A=\sqrt{35.93}$

$A=6\ units^{2}$

7 0

3 years ago

They need $146,000 for the franchise. They invest in a 3:6 ratio, respectively.

jeka57 [31]

Answer:

Step-by-step explanation:

sum of ratio=3+6=9

Jeff invest=3/9×146,000=146000/3=48666 2/3 $

Trudy invest=6/9×146,000=292,000/3=97,333 1/3 $

6 0

3 years ago

What is 6 thousandths of a meter of a decimal

Svetllana [295]

0.006
That's you're answer

5 0

3 years ago

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What is the sum of the geometric sequence-1 6 -36 yes there are 7 terms

vagabundo [1.1K]

Answer:

-39991'

Step-by-step explanation:

We require the sum of 7 terms of the G.S. -1, 6, -36 .....

The common ratio r = 6/-1 = -6 and the first term = -1.

Sum of n terms = a1 . (r^n - 1) / (r - 1)

Sum of 7 terms = -1 * (-6)^7 - 1) / (-6 - 1)

= -1 * 39991

= -39991 (answer).

7 0

3 years ago

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Maya walks 9 blocks to school. If she walks 2 blocks in four minutes, how long will it take Maya to get to school.

katrin2010 [14]

Hello!

In order to find this out we should first know the ratio for the time and distance. So it takes her 4 minutes to go 2 blocks. So the ratio looks like this: 4:2. If we are trying to find 9 blocks, then multiply it by 4 and just add the other two minutes .

So in total your answer is: It takes Maya 18 minutes to walk 9 blocks.

I hope it helps!

4 0

4 years ago

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