Opposite sides of a parallelogram are equal lengths, so ...
... AB = CD
... 6x +30 = 2y -10
and
... BC = AD
... 2x -5 = y -35
_____
The equations can be put in standard form to get
... 3x -y = -20
... 2x -y = -30
Subtracting the second from the first, we get
... x = 10
Solving for y, we have
... y = 2x+30 = 2·10 +30 = 50
The values of x and y are x=10, y=50.
_____
AB = 6x+30 = 90
BC = 2x-5 = 15
Answer:71
Step-by-step explanation:
Step-by-step explanation:
(x+3)(x-5)
= x²-5x+3x-15 = x²-2x-15
But the given polynomial x³-15
So it is not the correct factorization.
Again, (x-3)(x+5)
= x²+2x-15
But the given polynomial x³-15
So it is not the correct factorization.
Again , (x+3)(x²-4x+5)
= x³-4x²+5x+3x²-12x+15
= x³-x²-7x+15
But the given polynomial x³-15
So it is not the correct factorization.
So , optionD is the correct answer
If Jayden needs 900, and he already has 375, first you need to find out how much more money he needs. Do that first.
2. His job pays him 155 a week, so 155w. If he needs to make at least 900, that means that it would be ok if he earned equal to 900, or more. So the amount he earns is greater than or equal to 900.
3. Solve for w. This should give you your answer.
I hope this helps!
Answer:
(1/2)x - y = -2
General Formulas and Concepts:
<u>Pre-Alg</u>
<u>Alg I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Standard Form: Ax + By = C
Step-by-step explanation:
<u>Step 1: Define equation</u>
Slope-Intercept Form: 2 + (1/2)x = y
<u>Step 2: Find Standard Form</u>
- Rewrite: y = (1/2)x + 2
- Subtract 1/2x on both sides: y - 1/2x = 2
- Factor negative: -(1/2x - y) = 2
- Divide both sides by -1: 1/2x - y = -2