Distribute each term in one parenthesis to the other terms in the other parenthesis.
(x - 2) (2x + 3)
First, distribute x. When distributing, multiply
x(2x) = 2x²
x(3) = 3x
Next, distribute the other term, -2. Remember to change the signs.
-2(2x) = -4x
-2(3) = -6
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2x² + 3x - 4x - 6
Combine like terms
3x - 4x = -x
2x² - x - 6
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2x² - x - 6 is your answer
hope this helps
Answer: the bill for a hamburger is $0.7
the bill for a salad is $1.5
Step-by-step explanation:
Let x represent the bill for a hamburger.
Let y represent the bill for a salad.
The bill for five hamburgers and four salads is $9.50. This means that
5x + 4y = 9.5- - - - - - - - - - - - - - 1
The bill for four hamburgers and five salads is $10.30. This means that
4x + 5y = 10.3 - - - - - - - - - - - - - -2
Multiplying equation 1 by 4 and equation 2 by 5, it becomes
20x + 16y = 38
20x + 25y = 51.5
Subtracting, it becomes
- 9y = - 13.5
y = - 13.5/ - 9
y = 1.5
Substituting y = 1.5 into equation 1, it becomes
5x + 4(1.5) = 9.5
5x + 6 = 9.5
5x = 9.5 - 6 = 3.5
x = 3.5/5 = 0.7
Yes. If the diagonals bisect the angles, the quadrilateral is always a parallelogram, specifically, a rhombus.
Consider quadrilateral ABCD. If diagonal AC bisects angles A and C, then ΔACB is congruent to ΔACD (ASA). Hence AB=AD and BC=CD (CPCTC).
Likewise, if diagonal BD bisects angles B and D, triangles BDA and BDC are congruent, thus AB=BC and AD=CD. (CPCTC again). Now, we have AB=BC=CD=AD, so the figure is a rhombus, hence a parallelogram.
Step-by-step explanation:
use desmos it's a graphing calculator just put in the equation
Answer:
a) -0.5 • 1.7 - 0.5 • 1.7
Step-by-step explanation:
I knew this answer. It is in distributive property.
