Answer:
x = -2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x - 1
f(x) = -7
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: -7 = 3x - 1
- Isolate <em>x</em> term: -6 = 3x
- Isolate <em>x</em>: -2 = x
- Rewrite: x = -2
If "a" and "b" are two values of x-coordinate, and "m" is the midpoint between them, it means the distance from one end to the midpoint is the same as the distance from the midpoint to the other end
... a-m = m-b
When we add m+b to this equation, we get
... a+b = 2m
Solving for m gives
... m = (a+b)/2
This applies to y-coordinates as well. So ...
... The midpoint between (x1, y1) and (x2, y2) is ((x1+x2)/2, (y1+y2)/2)
_____
Jennifer had (x1, y1) = (-4, 10) and (x2, y2) = (-2, 6). So her calculation would be
... midpoint = ((-4-2)/2, (10+6)/2) = (-6/2, 16/2) = (-3, 8)
Brandon had (x1, y1) = (9, -4) and (x2, y2) = (-12, 8). So his calculation would be
... midpoint = ((9-12)/2, (-4+8)/2) = (-3/2, 4/2) = (-1.5, 2)
The answer is 12 but the way you get it is you subtract 400 from 1000 which gives you 600 then you divide 600 by 50 to get 12. So it looks like this 1000-400= 600, 600/50=12. Hope this helps. :)
Answer:
lenght = 13 inches
width = 7 inches
Step-by-step explanation:
p= 2(l+b)
let lenght be x
width be y
so x=y+6
40 = 2(y+6 + y)
40= 2( 2y+6 )
20= 2y +6
2y = 20-6
2y=14
y=7
x=7+6=13
so lenght is 13 inches
width is 7 inches
