Answer:
4.9 m²
Step-by-step explanation:
Area of a Triangle = (base * height)/2
(3.5*1.4)/2 = 2.45 m² = A of CBD
(3.5*1.4)/2 = 2.45 m² = A of BCA
Awnser: (15,15)
The image of (3,3) after a dilation by a scale factor of 5 centered at it's origin would be (15,15), I believe. From what I remember, if it's asking for a dilation by a scale factor, you're basically just multiplying that point (the 3,3) by whatever the scale factor is (5 in this case). So for example, here you would just multiply the (3,3) by 5, since 5 is our scale factor. And you would get (15,15). I hope this helps, I'm quite new to this.
The correct answer to this question is:
A-"Rotation"
D-"Reflecting"
E-"Translating"
Hope this helped, Mollifay450
Your Welcome :)
Answer:
B
Step-by-step explanation:
This is a quadratic in cosines
Factor by considering the factors of the product 2 × 1 = 2 which sum to give the coefficient of the cos x term (3 )
the factors are + 2 and + 1
use these factors to split the middle term
2cos²x + 2cosx + cosx + 1 = 0 (factor by grouping )
2cosx(cosx + 1) + 1(cosx + 1) = 0 (take out common factor (cosx + 1) )
(cosx + 1)(2cosx + 1) = 0
equate each factor to zero and solve for x
cosx + 1 = 0
cosx = - 1 ⇒ x = π
2cosx + 1 = 0
cosx = -
since cosx < 0 then x is in second/ third quadrant
x = or x =
In a trapezoid, the segment at the midpoint is the average of the other two bases.
In other words: YZ = (QR + TS) / 2
5x + 1 = ( (2x + 7) + 19 ) / 2
2(5x + 1) = 2x + 26
10x + 2 = 2x + 26
8x = 24
x = 3
YZ = 5x + 1
YZ = 5(3) + 1
YZ = 15 + 1
YZ = 16
Hope this helps!