Answer:
The answer is the 3.72 and the 3.66
You can remove the parentheses:-
= 7q^3r^2 + 5qr^2 + 23q + −5qr^2 − qr^2 − 11q − 4q^3r^2 ( because there is + outside)
Bring like terms together
= 7q^3r^2 − 4q^3r^2 + 5qr^2 − 5qr^2 − qr^2 + 23q − 11q
= 3q^3r^2 - qr^2 + 12q answer
Answer:
432 in^2
Step-by-step explanation:
in similar quadrilaterals, the first point of one quad. corresponds to the first point of the other quad, so in this case UA corresponds with CH.
since CH is 3/4 the length of UA, we can also assume that the other sides in ZUCH are 3/4 the length of their corresponding sides in SQUA.
even though we don't know what quadrilateral SQUA and ZUCH are, we know the area of SQUA is 9/16 times less than ZUCH.
want some proof?
lets say SQUA and ZUCH are rectangle/square
ZUCH: 4X4 = 16
SQUA: 3X3 = 9
now lets say they are trapezoids. We will set ZUCH 2nd base to 8 and height to 16, therefore SQUA bases will be 3 and 6, and the height will be 12 (multiply ZUCH lengths by 3/4)
ZUCH = (b1+b2)(h)/2 = (4+8)(16)/2 = 96
SQUA = (b1+b2)(h)/2 = (3+6)(12)/2 = 54
simplify 96/54 = 16/9
now we can multiply 243 by our factor 16/9 to find the area of SQUA.
243 * 16/9 = 432 in^2
Answer:
(f-g)(4) = 10
Step-by-step explanation:
(f-g)(x) = f(x) - g(x)
= 1/2 x^2 - 1/4 x + 4 - 1/2 x + 1
= 1/2 x^2 - 1/4 x - 1/2 x + 4 + 1
= 1/2 x^2 - 3/4 x + 5
(f-g)(4)
= 1/2 (4)^2 - 3/4 (4) + 5
= 1/2 * 16 - 3 + 5
= 8 - 3 + 5
= 5 + 5
= 10
Answer:
351
Step-by-step explanation:
The top box draw a line and then it will be just 9*9
then you have 30ft * 9ft
30*9 = 270
9*9 = 81
270+81 = 351
