Answer:
Step-by-step explanation:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
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Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
Answer:
Bowl B contains 2 apples more than Bowl A and Bowl A contains 1 mango more than Bowl B.
Step-by-step explanation:
Number of apples in Bowl A = 6
Number of mangoes in Bowl B = 8
Difference in apples = 8 - 6 = 2
So, Bowl B contains 2 apples more than Bowl A.
Number of mangoes in Bowl A = 3
Number of mangoes in Bowl B =2
Difference in mangoes = 3 - 2 = 1
So, Bowl A contains 1 mango more than Bowl B.
The answer is
first you must multiply or use the FOIL method (First, Outer, Inner, Last)
First you multiply the first terms
this gives you 3x^2, then you multiple the outer terms
this gives you -21x, then you multiply the inner terms
that gives you 2x, finally you multiply the last terms
that gives you 14, now you combine like terms
now you put all the terms together and end up with your solution
Answer:
<u>13 - 2x </u>
Step-by-step explanation:
(x +2)² + (x - 3)² - 2x²
<em>Expand.</em>
(x + 2)(x + 2) + (x - 3)(x - 3) - 2x²
x² + 2x + 2x + 4 + x² - 3x - 3x + 9 - 2x²
<em>Bring all the like terms together then simply.</em>
x² + x² - 2x² + 2x + 2x - 3x - 3x + 4 + 9
2x² - 2x² + 4x - 6x + 13
= <u>13 - 2x</u> (or <u>-2x + 13</u> )
Answer:
-27, -25, -23
Step-by-step explanation:
Let the three consecutive odd integers be:
First integer = a
Second integer = a + 2
Third integer = a + 4
Two times the least integer = 15 + three times the greatest
2a = 3(a + 4) + 15
2a = 3a + 12 + 15
2a - 3a = 27
a = -27
So the first integer is -27, the second integer is -25 and the third integer is -23.
