The area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units
<h3>Determining the perimeter and area of the triangle giving line equation</h3>
In order to determine the area and perimeter of the lines, we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.
The points of intersection of the line are;
(x₁, y₁) = (- 0.4, 5.2),
(x₂, y₂) = (-0.8, 4.4),
(x₃, y₃) = (0, 4)
Determine the base
b² = c² -a²
b = √(-0.8)² + (4 - 4.4)²
b = 2√5 / 5
Determine the height
h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²
height = 2√5 / 5
For the hypotenuse
r = √2 · b
r = 2√10 / 5
<h3>Determine the Perimeter and area</h3>
Perimeter = s1+s2+s3
Perimeter = 2√5 / 5 + 2√5 / 5 + 2√10 / 5
Perimeter = (2√10 + 4√5) / 5 units
<u>For the area</u>
area = 1/2* base * height
A = 0.5 · (2√5 / 5) · (2√5 / 5)
A = 2/5 square units
Hence the area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units
Learn more on area and perimeter of triangles here: brainly.com/question/12010318
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Answer: -270
Step-by-step explanation:
First, simplify the exponent

Then, distribute

Then, subtract(add a negative)

Hope it helps <3 :)
Answer:
8.66
Step-by-step explanation:
The answer is nucleus. The nucleus acts as the control center of a cell.
Answer:
<u>3 batches of biscuits.</u>
Step-by-step explanation:
For one batch of biscuits, Mito uses 1/4 cup of flour to coat the countertop and the rolling pin.He also uses 2 1/2 cups of flour for each batch of biscuits he bakes
When he uses 7 3/4 cups of flour
Let the number of batches = x
convert the given data to decimal:
2 1/2 = 2.5 and 1/4 = 0.25 and 7 3/4 = 7.75
So, the equation representing the problem is:
2.5 x + 0.25 = 7.75
Solve for x
2.5x = 7.75 - 0.25 = 7.5
x=7.5/2.5 = 75/25 = 3
<u>So, the number of batches of biscuits = 3 batches.</u>