Answer:
C) 19.5 square units
Step-by-step explanation:
The area from coordinates can be computed as ...
A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|
= (1/2)|7(10 -4) +0(4 -1) +9(1-10)| = (1/2)|7·6 +9·(-9)|
= (1/2)|-39| = 39/2 = 19.5
The area of the triangle is 19.5 square units.
Answer:
Fell by 25%
Step-by-step explanation:
+20% January
-20% February (20-20 is zero, so we're back to the original price we started at here)
+25% March
?? April
Currently, we are 25% more than what we had, so to get back to normal, the price needs to go down by 25 percent. This will put us back to zero. Put another way...
+20%-20%+25%-25%=0% (Original Price)
Answer:
Dilation followed by Translation.
Step-by-step explanation:
We have the function
.
The new transformed function is 
Now, the transformation applied to f(x) to obtain g(x) are:
1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.
Since, we are dilating the given function by 2 units, the new dilated function becomes
.
2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.
As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes
.
Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.
The slope intercept form is y=mx+b
in this case y=-x
y=(-1)x + 0
so the slope m=-1 and y-intercept which is b is 0
It is SAS because
1) it is given that sides are equal (AB=CD)
2)it is also given that angles B and C are equal
3) BC is a common side so it is equal in both triangles.
answer: SAS