The coordinates for D are (-4, -7)
First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint.
x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4
y values = -4 + 6 = 2
Then divide by 2 for the average 2/2 = 1
Therefore B must be (-4, 1)
Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages.
x - values = (Bx + Dx)/2 = Ex
(-4 + Dx)/2 = -4 ---> multiply both sides by 2
-4 + Dx = -8 ---> add -4 to both sides
Dx = -4
y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
Dy = -7
So the coordinates for D must be (-4, -7)
Answer:
<h2>radius = 1.47 cm</h2>
Step-by-step explanation:
Area of a circle = πr²
where
r is the radius
From the question
Area = 6.76 cm²
To find the radius substitute the value of the area into the above formula and solve for the radius
That's
Divide both sides by π
We have
r = 1.46689291
We have the final answer as
radius = 1.47 cm
Hope this helps you
Answer:
4
Step-by-step explanation:
1. if the mass of coffee worth $10 is 'x', then its worth is 10x, and the worth of the mixture is 5(x+20);
2. using the previous item it is possible to write the next equation:
5(x+20)=4*20+10*x; ⇒ x=4.
3. the required mass is 4 pounds.
There is no rectangle but the formula is
Answer:
$320
Step-by-step explanation:
From simple interest formular
A=P(1+int) where A is amount payable, P is principal amount borrowed and int is interest gained
int=Rt where R is rate of interest in decimal form, t is duration
The rate of 10% converted to decimal is 10/100=0.1
Substituting P for $3200, R for 0.1 and t for 1 year
A=$3200(1+(0.1*1))=$3200*(1+0.1)=3200*1.1=$3520
To find the interest, it's A-P hence $3520-$3200=$320
Therefore, interest owed is $320
