Answer:
f(g(x))=(x-4)+2
Step-by-step explanation:
Plug in the equation from g(x) into the x in f(x) and solve.
Answer:
21°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
subtract the sum of the 2 given angles from 180 for the other angle
other angle = 180° - (90 + 69)° = 180° - 159° = 21°
Answer: The dimensions of the rectangle are 6ft and 16ft.
Step-by-step explanation:
Let the width of the rectangle be y
Let the length of the rectangle be y+10
Area= 96ft
Since area of a rectangle is length multiplied by width
y(y+10) = 96
y^2 +10y =96
y^2 +10y -96= 0
Solving algebraically,
y^2 +16y - 6y - 96= 0
y(y+16) - 6(y+16)= 0
(y-6)(y+16)= 0
y-6= 0
y =6ft
Recall that the width was denoted as y. That means the width is 6ft.
Since length is y+10= 6+10 = 16ft
Length is 16ft, width is 6ft.
Answer:
Step-by-step explanation:
In this section, we will focus on graphing hyperbolas that open left and right or ... To easily sketch the asymptotes we make use of two special line segments ... From the center (5,4), mark points 3 units left and right as well as 2 units up and down. ... standard form for the equation of a hyperbola given the following information.