Answer: B
Step-by-step explanation:
Answer: 8.94
Step-by-step explanation:
d = sqrt ((x2 - x1)^2+ (y2 - y1)^2)
d = sqrt (80)
d = 8.944272
Answer:
g(x) = –5*(0.8)^x
Step-by-step explanation:
In order to get the reflection of a function across the x-axis, you have to multiply that function by (-1)
Given the function:
f(x) = 5*(0.8)^x
then, its reflection across the x-axis is -f(x) = g(x) = –5*(0.8)^x. This result can be checked replacing the known points into the equation, as follows:
x | g(x)
0 | –5*(0.8)^0 = -5
1 | –5*(0.8)^1 = -4
4 | –5*(0.8)^4 = -2
1. find the area of the two triangles, including the shaded section. the formula for this is a=1/2bh
the height and base are both 24 inches. this is because you add the 10 from the side of the square to the 14 that is given
so:
a=1/2(24)(24)
a=(12)(24)
a=288 sq. inches
since there are two triangles, you would multiply the area by 2
a=2(288)
a=576 sq. inches
now, since you only need the unshaded section, you have to take away the shaded section, which is a square. to do this, you must calculate the area of the square and take it away from the area of both triangles.
a=576-(lw)
a=576- (10)(10)
a=576-100
a=476 sq. inches
that is your answer