Answer:
c. 6
Step-by-step explanation:
The function notation f(x)=2x-4 means replace the x on the right-hand side with the value in parentheses on the left.
For example, f(y)=2y-4; f(4)=2(4)-4=4; f(1)=2(1)-4=-2 and so on.
The same principle applies to g(x), for example
g(2)=4(2^2)-3=13,
g(x+1)=4(x+1)^2-3=4(x^2+2x+1)-3=4x^2+8x+4-3=4x^2+8x+1
and so on.
(g of f)(x) is another way to write g(f(x)), therefore
g(f(x))
=g(2x-4) [because f(x)=2x-4
=4(2x-4)^2-3
=4(4x^2-16x+16)-3
=16x^2-64x+64-3
=16x^2-64x+61
The answer:
according to the image, the main theorem concerning right triangle similarity is as follow:
the altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and each other,
in our case, KL is the altitude, and by applying theorem, we get three triangles that are similar:
therefore:
<span>△JKL ~ △JKM
</span><span>△JKM ~ △JKM
</span><span>△JMK ~ △KML</span>
2 supplementary angles when added together need to equal 180 degrees.
Add:
3x-23 + 2x-12 = 180
Simplify:
5x -35 = 180
Add 35 to both sides:
5x = 215
Divide both sides by 5:
X = 43
Now replace x with 43 in the equation for angle b:
2(43) -12 = 86-12 = 74 degrees
Angle B = 74 degrees
Answer:
5115
Step-by-step explanation:
a1(1-(r)^n)/1-r
5(1-(2.00)^10)/1-2.00
