Answer:
<h2>7 square units</h2>
Step-by-step explanation:
As you can observe in the image attached, we know the coordinates of each vertex of the triangle.
To find the area using only its vertex coordinates, we need to use the following formula
Where the coordinates are
Replacing coordinates, we have
![A=\frac{1}{2}[1(0 -5)+4(5 -1 )+3(1-0 ) ]\\A=\frac{1}{2} [-5+16+3]=\frac{1}{2}(14)\\ A=7](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B1%280%20-5%29%2B4%285%20-1%20%29%2B3%281-0%20%20%29%20%20%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%20%5B-5%2B16%2B3%5D%3D%5Cfrac%7B1%7D%7B2%7D%2814%29%5C%5C%20A%3D7)
Therefore, the area of the triangle is 7 square units. So, the right answer is the second choice.
Answer:
- 84 + 10i
Step-by-step explanation:
A complex number in standard form is a ± bi
a is the real part and bi the imaginary part
and 
= i
Given
- 84
= 
- 84
= 
× - 84
= 10i - 84
= - 84 + 10i ← in standard form
Answer:
B
Step-by-step explanation:
Its hard to explain. Hmm lets see...okay so -1/4 is a quarter of -1 also -25%. so lets think of -1 to be -100% makes sense? and its opposite is mirrored on the number line. Hope that helped
From.the calculated area and perimeter of the field, it will cost the farmer $475740 to fence and seed the pasture.
<h3>What is the area of the field?</h3>
The area of the field is calculated as follows:
Area of square = 450 ft × 450 ft = 202500 square feet
Area of triangle = (450 ft × 120 ft)/2 = 27000 square feet
Area of field = 229500 square feet
Cost of seeding the field = 229500 × $2 = $459000
Perimeter of the field = 450 + 450 + 450 + 255 + 255 = 1860 ft
1 ft = 1/3 yard
1860 ft = 1860 × 1/3 yards = 620 yards
Cost of fencing = 620 × $27 = $16740
Total cost of seeding and fencing = $475200
Therefore, it will cost the farmer $475740 to fence and seed the pasture.
Learn more about area and perimeter at: brainly.com/question/19819849
Looks like y = |x| because the slopes of the lines are both 1
You shift it to the right making it |x-2| and you shift it down making y = -2
combine to get <em>y = |x - 2| - 2</em>.
