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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did this answer your question...no. OK well that is your loss
Just plot the values onto a normal number line
Answer:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
A <u>function</u> is increasing when the <u>y-value increases</u> as the <u>x-value increases</u>.
A <u>function</u> is decreasing when the <u>y-value decreases</u> as the <u>x-value increases</u>.
From x = -2 to x = -1 the function is decreasing as the y-value decreases as the x-value increases:
- x-value -2 to -1 → increase
- y-value 2 to 0 → decrease
From x = -1 to x = 0 the function is increasing as the y-value increases as the x-value increase:
- x-value -1 to 0 → increase
- y-value 0 to 2 → increase
From x = 0 to x = 1 the function is increasing as the y-value increases as the x-value increase:
- x-value 0 to 1 → increase
- y-value 2 to 8 → increase
When you say "Which number ...", I expect to see a list of choices at the
end of the question, and I get very upset when there's nothing there.
9h + 15 > 55
Subtract 15 from each side: 9h > 40
Divide each side by 9 : <em> h > 40/9</em>
Any number greater than (4 and 4/9) satisfies the inequality.
