Step-by-step explanation:
.3f+1 = .2f-4.5
1. Subtract .2f both sides
.1f+1 = -4.5
2. Subtract 1 from both sides
.1f = -5.5
3. Divide .1 both sides
f = -55
To check plug in -55 to all the f’s and both sides should be equal.
Hope this helps!
Answer:
D(4,-3)
Step-by-step explanation:
Given three of the vertices of the square: A(4, -7), B(8, -7),C(8, -3)
Let the coordinate of the fourth vertex be D(x,y).
We know that diagonals of a square are perpendicular bisector. So, the midpoint of both diagonals is the same.
The diagonals are BD and AC
Midpoint of BD = Midpoint of AC
![\left(\dfrac{8+x}{2},\dfrac{-7+y}{2}\right) =\left(\dfrac{4+8}{2},\dfrac{-7+(-3)}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(\dfrac{12}{2},\dfrac{-10}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(6,-5\right)\\$Therefore$:\\\dfrac{8+x}{2}=6\\8+x=12\\x=12-8\\x=4\\$Similarly$\\\dfrac{y-7}{2}=-5\\y-7=-5*2\\y-7=-10\\y=-10+7=-3](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B8%2Bx%7D%7B2%7D%2C%5Cdfrac%7B-7%2By%7D%7B2%7D%5Cright%29%20%3D%5Cleft%28%5Cdfrac%7B4%2B8%7D%7B2%7D%2C%5Cdfrac%7B-7%2B%28-3%29%7D%7B2%7D%5Cright%29%5C%5C%20%5Cleft%28%5Cdfrac%7B8%2Bx%7D%7B2%7D%2C%5Cdfrac%7By-7%7D%7B2%7D%5Cright%29%20%3D%5Cleft%28%5Cdfrac%7B12%7D%7B2%7D%2C%5Cdfrac%7B-10%7D%7B2%7D%5Cright%29%5C%5C%20%5Cleft%28%5Cdfrac%7B8%2Bx%7D%7B2%7D%2C%5Cdfrac%7By-7%7D%7B2%7D%5Cright%29%20%3D%5Cleft%286%2C-5%5Cright%29%5C%5C%24Therefore%24%3A%5C%5C%5Cdfrac%7B8%2Bx%7D%7B2%7D%3D6%5C%5C8%2Bx%3D12%5C%5Cx%3D12-8%5C%5Cx%3D4%5C%5C%24Similarly%24%5C%5C%5Cdfrac%7By-7%7D%7B2%7D%3D-5%5C%5Cy-7%3D-5%2A2%5C%5Cy-7%3D-10%5C%5Cy%3D-10%2B7%3D-3)
The coordinates of the fourth vertex is D(4,-3)
The sign of the product would be the postitive sign because all three integers have the same sign.
Answer:
245.1361868
Step-by-step explanation:
126 51.4
___ = ____ 126x100=12600 12600/51.4=245.1361868
x 100
Answer:
nj +k = p
Step-by-step explanation:
n = (p-k)/j
Multiply each side by j
nj = (p-k)/j *j
nj = p-k
Add k to each side
nj +k p-k+k
nj +k = p