Answer:
3/2y - 5
Step-by-step explanation:
-1/2(-3y+10)
Expand the brackets.
-1/2(-3y) -1/2(10)
Multiply.
3/2y - 5
The standard form for the equation of a circle is :
<span><span><span> (x−h)^</span>2</span>+<span><span>(y−k)^</span>2</span>=<span>r2</span></span><span> ----------- EQ(1)
</span><span> where </span><span>handk</span><span> are the </span><span>x and y</span><span> coordinates of the center of the circle and </span>r<span> is the radius.
</span> The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter with endpoints at (−10,1)and(−8,5) is :
((−10+(−8))/2,(1+5)/2)=(−9,3)
So the point (−9,3) is the center of the circle.
Now, use the distance formula to find the radius of the circle:
r^2=(−10−(−9))^2+(1−3)^2=1+4=5
⇒r=√5
Subtituting h=−9, k=3 and r=√5 into EQ(1) gives :
(x+9)^2+(y−3)^2=5
Gonna assume it’s 3x so, 1-3, 2-6, 4-12, 5-15
Answer:
<h3>$189,292.92</h3>
Step-by-step explanation:
Using the compound interest formula to get the equivalent amount after 5 years;
A = P(1+r/n)^nt
P is the principal = 120,000
r is the rate = 10% = 0.1
t is the time = 5 years
n is the time of compounding = 1/2 = 0.5(semi annual interest)
Substitute into the formula;
A = 120,000(1+0.1/0.5)^(5)(0.5)
A = 120,000(1+0.2)^2.5
A = 120,000(1.2)^2.5
A = 120,000(1.5774)
A = 189,292.92
Hence the company issue is $189,292.92
Answer:
x = 
= 2 
Step-by-step explanation:
34.2 = 13.4 + 9.6x
20.8 = 9.6x
x = 20.8 / 9.6
x =
