Hey Brion,
1) <span>Evaluate 2A - 3B for A = 7 and B = -2.
To solve this start by filling in the variables.
2(7) - 3(-2)
Now multiply, remember that a positive times a negative is a negative.
14 - (-6)
Finally, subtract. Remember, Keep, Change, Change (KCC). Keep the first number, change symbol (for subtraction use addition), and change the negative number to a positive number.
14 + 6 = 20
</span><span>2) If x = -3, then x 2-7x + 10 equals
Start by filling in the variables.
-3(2) - 7(-3) + 10
Now follow PEMDAS (Parentheses, Exponents, Multiplication & Division, Addition & Subtraction) to solve. Remember K.C.C (no. 1 above)
</span>-3(2) - 7(-3) + 10
<span>(-6) - (-21) + 10
(-6) + (21) + 10
15 + 10
25*****See NOTE!***
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Note: For #2 you may be missing a symbol between the first "x" and "2" because the answer I got above (25) is not one of your choices. Let me know what symbol is missing in the equation: </span><span>x 2-7x + 10, and I will help you solve it.</span>
Answer:
Step-by-step explanation:
Parallel lines have the same slope. The slope of the given line is 3. The easy way to do this, the one that uses our logical brains as opposed to our mathematical brain, tells us that since there is only one choice that has a given slope of 3, that is the one that we want. The second choice down is the only one that has a slope of 3.
Mathematically,
and
and
so
y = 3x - 7 (the second choice)
4.02, 5, 7.3, 19, 23, 23, 34, 35, 41, 42
(Numbers are organized in ascending order from smallest to largest)
Given:
The coordinates of point K' are (6,5).
K' is the image of K after a reflection in the line y=2.
To find:
The coordinates of point K.
Solution:
Let the coordinates of point K are (a,b).
If a figure is reflected over the line y=2, then
Using this formula, the coordinates of image of K are

The coordinates of point K' are (6,5).

On comparing both sides, we get




Therefore, the coordinates of point K are (6,-1).