Answer:
A.
Step-by-step explanation:
Subtract -4x on both sides to get to -2y=-4x-8, then you should divide -2 into both sides to get to the slope of y=2x+4 since two negatives would equal to a positive when dividing and multiplying. Because the slope is positive, it is safe to assume that the first two options A and B are the best options due to their slopes being positive and going up. The y-intercept is 4 which makes the answer A because on 0 it is on the positive side.
Simplest method: elimination.
Subtract the first equation from the second one.
(2a+b=-33)-(a+b=-10) gets you to a=-23.
Now plug that in for a and solve.
-23 +b=-10
b=13
Amount in compound interest = p(1 + r/t)^nt where p is the initial
deposit, r = rate, t = number of compunding in a period and n = period.
Here,
Amount after 6 months (0.5 year) = 1,950(1 + (4.25/100)/4)^(0.5 x 4) = 1,950(1 +
0.0425/4)^2 = 1,950(1 + 0.010625)^2 = 1,950(1.010625)^2 = 1,950(1.0213629) =
$1,991.66
Compound interest = Amount - principal (initial deposit) = $1,991.66 - $1,950 = $41.66
Use the distance formula: D=sqrt((x2-x1)^2+(y2-y1)^2)
Plug in:
D=sqrt((9-8)^2+(-1-2)^2)
D=sqrt(1^2+(-3)^2)
D=sqrt(1+9)
D=sqrt(10)
So the distance is about 3.16 units
Hope this helped!
Answer:
By S.S.S. congruence property; ΔTZW ≅ ΔVZU
Step-by-step explanation:
Given:
TUVW is a rectangle.
To Prove : TZW ≅ UZV
Proof:
Since TUVW is a rectangle, and we know that opposite side of a rectangle is equal.
So,
And also TV and WU are the diagonals of the rectangle.
And the diagonals of rectangle bisects each other.
Therefore;
Now In ΔTZW and ΔVZU
TW = UV (from 1)
TZ = ZV (from 2)
WZ = ZU (from 3)
So, by S.S.S. congruence property;
ΔTZW ≅ ΔVZU
Hence proved.
