2(4x-3) ≥ - 3(3x) + 5x
2* 4x - 2*3 ≥ - 9x + 5x
8 x - 6 ≥ -4x
8 x + 4 x ≥ 6
12 x ≥ 6
x = 6/12 divide 6/6 = 1 and 12 / 6 = 2
x = 1/2
hope this helps!
Answer:
A(t) = 200+15t(1+0.02)^{t}
Step-by-step explanation:
Since the interest is calculated on the new balance every year.
Hence the formula used for compound interest is:
A = P(1+
^{nt}
where, A =Amount after t years
P =Principal amount
200 is the initial balance and Since, here the $15 is added to the balance each year. Therefore, P = 200+15t
r = rate each year (0.02)
t = time (in years) (t)
n = no. of times the interest is compounded in a year (n=1)
Therefore, the recursive formula is:
A(t) = 200+15t(1+0.02)^{t}
3. Yes, the shapes are congruent, because all the corresponding sides are the same lengths.
The figure that isn't labeled with any letters was reflected across the X-axis at X =1
4)
JKL was rotated 180 degrees, then shifted 2 units to the left.
Answer:
idk
Step-by-step explanation:
The circle was 126 meters around.
Step-by-step explanation:
Step 1; It is given that the big circle was 40 feet across the center. This implies the distance from any particular point on the circle to any other point is 40 feet. This means the diameter of this given circle is 40 feet. Any given circle's radius is 0.5 times the diameter of that same circle. So we divide 40 by 2 to get the circle's radius. So the radius is 40/2=20 feet. So the radius of this given circle is 20 feet.
Step 2; To find how many feet around means we need to find perimeter and not area. Area means the region inside the circle whereas perimeter is how long the circle is i.e how long the circle around is. So the distance around this circle is 2 multiplied with pi and its radius. The distance around any given circle = 2πr.
Perimeter of this circle = 2 × 3.141592 × 20 = 125.6637 feet.
