Answer:
x = -10
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
8x - 2(x + 1) = 7x + 8
Step 2: Distribute
8x - 2x - 2 = 7x + 8
Step 3: Combine like terms
6x - 2 = 7x + 8
Step 4: Subtract 6x on both sides
-2 = x + 8
Step 5: Subtract 8 on both sides
-10 = x
Step 6: Rewrite
x = -10
The equation of a circle is:
(x-h)^2+(y-k)^2=r^2, where (h,k) is the center and r is the radius
So the first thing we can do is to find the center of the circle, which will be at the midpoint of the two endpoints of the diameter. The midpoint is simply the average of the coordinates of the endpoints.
mp=((-1+3)/2, (-4+2)/2)
mp=(1, -1), and this midpoint is the center of the circle our (h,k) for the circle equation.
Now we must find the length of the diameter so that we can know what our radius is. The distance between any two points is:
d^2=(x2-x1)^2+(y2-y1)^2 so
d^2=(-1-3)^2+(-4-2)^2
d^2=4^2+6^2
d^2=16+36
d^2=52
Note that this distance squared is our diameter squared.
Since d=2r
d^2=4r^2
r^2=d^2/4, we showed that d^2=52 so
r^2=52/4
r^2=13 (r=√13, but we need r^2 for our equation anyway)
So now we can fill out our circle equation because we know the center is at (1,-1) are r^2=13
(x-1)^2+(y+1)^2=13
Answer:
T= 1.29k
Step-by-step explanation:
T= total price which is an independent variable
? kgs since we dont know how many kilograms she will buy.
k = number of kilograms of food
Each kilos costs is 1.29
T= 1.29k
Draw a diameter through the center of the circle. Any radius of this circle is 1/2 the length of the diameter. Thus, if we divide the diameter into two equal parts, we have two lengths that form the ratio 2:1, where 2 represents the diameter and 1 the radius.
Answer:
Step-by-step explanation:
1.666666666 in fraction form is 1666666666/1000000000.
Convert 3.55555 to a Fraction
355555/100000 = 71111/20000 = 3 11111
20000
What is 2.111111 as a fraction?
To write 2.111111 as a fraction you have to write 2.111111 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
2.111111 = 2.111111/1 = 21.11111/10 = 211.1111/100 = 2111.111/1000 = 21111.11/10000 = 211111.1/100000 = 2111111/1000000
And finally we have:
2.111111 as a fraction equals 2111111/1000000
