Answer:
3.14159
Step-by-step explanation:
Answer:
CE = 17
Step-by-step explanation:
∵ m∠D = 90
∵ DK ⊥ CE
∴ m∠KDE = m∠KCD⇒Complement angles to angle CDK
In the two Δ KDE and KCD:
∵ m∠KDE = m∠KCD
∵ m∠DKE = m∠CKD
∵ DK is a common side
∴ Δ KDE is similar to ΔKCD
∴ 
∵ DE : CD = 5 : 3
∴ 
∴ KD = 5/3 KC
∵ KE = KC + 8
∵ 
∴ 
∴ 
∴ 
∴ 
∴ KC = (8 × 9) ÷ 16 = 4.5
∴ KE = 8 + 4.5 = 12.5
∴ CE = 12.5 + 4.5 = 17
Answer:
a) (3a-5b)(2x-7) or (-3a+5b)(7-2x)
b) (x-y)(x-y+a) or (y-x)(y-x-a)
Step-by-step explanation:
a) 3a(2x-7)+5b(-(-7+2x))
3a(2x-7)-5b(2x-7)
(3a-5b)(2x-7)
3a(-(-2x+7))+5b(7-2x)
-3a(7-2x)+5b(7-2x)
(-3a+5b)(7-2x)
b)(x-y)^2-a(-(-y+x))
(x-y)^2+a(x-y)
(x-y)(x-y+a)
(-1(-x+y))^2-a(y-x)
(1(y-x)^2-a(y-x)
(y-x)(y-x-a)
The transformation from 1 to 2 is a translation, as the shape is moved from one point to another with no rotation, reflection, or change in size.
The transformation from 2 to 3 is a reflection, as the shape is now upside down. It is still the same distance from the y-axis.
The answer is D. translation, then reflection.
G(x)=2x+1
g(3)=2(3)+1
g(3)=6+1
g(3)=7
