Answer:
b
Step-by-step explanation:
3/2
Answer:
(-10,-6)
Step-by-step explanation:
When this point is reflected in the x-axis, the y-coordinates change from either positive to negative or negative to positive. The x-coordinates will not change.
Since the y-coordinates is originally positive, it will change to negative. Giving us our answer of:
(-10,-6)
Answer:
2√46 + 25π/4 ≈ 33.2 . . . . m²
Step-by-step explanation:
The altitude of the triangle is given by the Pythagorean theorem. The right triangle of interest is the one that has 5√2 as its hypotenuse, and a leg of half the base shown. Then the other leg, the altitude of the triangle, is ...
h = √((5√2)² - 2²) = √46
Then the area of the triangle shown is ...
A = (1/2)bh = (1/2)(4)(√46)
A = 2√46
__
The area of the semicircle is given by the formula ...
A = (1/2)πr²
Filling in the radius shown, the area is computed as ...
A = (1/2)π(5√2/2)² = 25π/4
So, the total area of the figure is ...
total area = triangle area + semicircle area
= 2√46 + 25π/4 . . . square meters
≈ 33.2 . . . square meters
Answer:
The graph on the far right
Step-by-step explanation:
The negative in front of the absolute value indicates that the parent function |x| has been reflected over the x-axis and points downwards. The negative 2 being added to this portion shows that there has been a vertical shift of two units downwards as well. Therefore, the graph on the far right is the correct graph.
Answer:
y = 2x + 4
Step-by-step explanation:
First find 2 points on the line to determine slope.
(0, 4) and (2, 8)
Slope = 
y = 2x + b
b = y - intercept
b = 4
y = 2x + 4
