First I'd expand the brackets so that you can re-simplify the values, so:
(2x + 3)(3x + 4)
6x^2 + 9x + 8x + 12
6x^2 + 17x + 12
The answer A. 2x(3x + 4) + 3(3x + 4) can be simplified the same way, with 6x^2 + 8x + 9x + 12, and so the answer is A. I hope this helps!
Answer:
Step-by-step explanation:
You have a 30-60-90 triangle. The sides of a 30-60-90 are in the ratio 1:√3:2.
The side opposite the 30° angle is 5, so the side opposite the 60° angle is 5√3, and the side opposite the 90° angle is 5×2 = 10.
x = 5√3
y = 10
Answer:
C = ~50 deg
Step-by-step explanation:
Apply the cosine theorem:
cos(C) = (CA^2 + CB^2 - AB^2)/(2*CA*CB)
= (7.5^2 + 6.5^2 - 6^2)/(2*7.5*6.5)
= 0.6410
=> C = ~50 deg
Hope this helps!
Answer:
(i) 22.5
(ii) 7.2
Step-by-step explanation:
(i)
AB:PQ = 2:5 = 1:2.5
So PQ is 2.5 times longer than AB.
PQ=2.5AB=(2.5)9=22.5
(ii):
Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:
QR=2.5BC
BC=QR/2.5=18/2.5=7.2
Answer:
56.6 °
Step-by-step explanation:
For a RIGHT triangle cos (x ) = adjacent leg / hypotenuse
cos (x) = 4.4 / 8
arc cos (4.4/8) = 56.63 ° = ~ 56.6°
