the answer will be around 53.398
Answer:
2( x + 4)
Step-by-step explanation:
2
x
+
8
Factor
2
out of
2
x
.
2
(
x
)
+
8
Factor
2
out of
8
.
2
x
+
2
⋅
4
Factor
2
out of
2
x
+
2
⋅
4
.
2
(
x
+
4
)
Answer:
10 units squared
Step-by-step explanation:
Looking at the figure, we can observe that it consists of two triangles: one on the left of the y-axis and one on the right. This means that we can find the separate areas of each triangle and then sum them to get the total area.
The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height.
<u>Left Triangle</u>:
The base is 4 and the height is 4, so the area is:
A = (1/2) * b * h
A = (1/2) * 4 * 4 = (1/2) * 16 = 8 units squared
<u>Right Triangle</u>:
The base is 2 and the height is 2, so the area is:
A = (1/2) * b * h
A = (1/2) * 2 * 2 = (1/2) * 4 = 2 units squared
The total area is 8 + 2 = 10 units squared.
<em>~ an aesthetics lover</em>
Option 1: Graph both equations to see where they intersect. If they do not intersect at lattice points, then use the substitution method.
Option 2: Use substitution method of system of equations
Equation of a circle: (x-h)² + (y-k)² = r²
Choose one of the equations and solve for one of the variables
(I am choosing to solve for y)::
(y-k)² = r² - (x-h)²
|y - k| = √(r² - (x-h)²)
y - k = +/- √(r² - (x-h)²)
y = k +/- √(r² - (x-h)²)
Now, substitute k +/- √(r² - (x-h)²) for y into the other equation to solve for x.
Substitute those x values into y = k +/- √(r² - (x-h)²) to solve for y.
Hope this makes sense!
