Answer:
Choice 4.
Step-by-step explanation:
f(g(x))
Replace g(x) with x^2+8 since g(x)=x^2+8.
f(g(x))
f(x^2+8)
Replace old input,x, in f with new input, (x^2+8).
f(g(x))
f(x^2+8)
2(x^2+8)+5
Distribute:
f(g(x))
f(x^2+8)
2(x^2+8)+5
2x^2+16+5
Combine like terms:
f(g(x))
f(x^2+8)
2(x^2+8)+5
2x^2+16+5
2x^2+21
We know that
area of the tent=length*breath
length=240 cm---convert to m---> 240/100----> 2.40 m
breath=170 cm----convert to m---> 170/100----> 1.70 m
find the area
area=2.40*1.70-----> area=4.08 m²
therefore
the answer is
<span>the friend's statement is incorrect the area is 4.08 m</span>²
Answer:
B
Step-by-step explanation:
The graph starts at 15, so that's the y intercept and the Gallons of gasoline is going down so the slope is negative
Answer:
16.24 Units
Step-by-step explanation:
The perimeter of the triangle is the sum of the length of the sides of the triangle. Given the points on the vertices, the length of each side may be found using the formula
Length = √(x2 - x1)^2 + (y2 - y1)^2
Considering the pair (-1, 2), (3, 1), the length of that side
= √(3 -- 1)^2 + (1-2)^2)
= √(16 + 1)
= √17 units
Considering the pair (-1, 2), (7, 2), the length of that side
= √(7 -- 1)^2 + (2-2)^2)
= √(64)
= 8
Considering the pair (3, 1), and (7, 2), the length of that side
= √(7 - 3)^2 + (2 - 1)^2
= √(16 + 1)
= √17
Hence the perimeter of the triangle
= √17 + 8 + √17
= 4.12 + 8 + 4.12
= 16.24 Units
9514 1404 393
Answer:
see attached
Step-by-step explanation:
To plot the line through the point, plot the point. Then find another point that has the given "rise" and "run". Draw the line through the two points.
__
The given point is (-7, -4). Locate that on the graph.
The slope is given as -2/3. This is the ratio of "rise" to "run", so it means the "rise" will be -2 for each "run" of 3. (rise/run = -2/3)
The rise is the vertical change. So, you want your second point to be 2 units below the given point. Its y-coordinate will be -4-2 = -6.
The run is the horizontal change. Your second point will be 3 units to the right of the given point, so its x-coordinate will be -7+3 = -4. Now, you can plot the point (-4, -6) and draw your graph through these two points.
