Hi there! :)
<u>Answer:</u>
The good answer is the top left one, which is:
2x -1(5 - 3x) = 4x +2
2x - 5 + 3x = 4x + 2
Step-by-step explanation:
2x <u>- 1</u>(5 - 3x) = 4x + 2
The correct first step is to distribute the "-1" to the entire parentheses:
-1 × 5 = <u>-5</u>
-1 × -3x = <u>3x</u>
Once this first step is done, you are left with an equation looking like this:
2x - 5 + 3x = 4x + 2
Which is the top left answer for you!
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
$30
Step-by-step explanation:
6 • 1/3 = 18
18 • 1/2 = 36
36 - 6 = 30
Answer: -5
Step-by-step explanation: The common difference is the same number we are adding each time to get from one term to the next.
In this sequence, we are adding -5 each time
so our common difference is -5.
9514 1404 393
Answer:
Step-by-step explanation:
The conjugate is found by changing the sign of the square root term.‡ (For this purpose, i = √-1.)
a) the sign of 3i is changed: 2 + 3i
b) the sign of sqrt(-5) is changed: 8 -sqrt(-5) = 8 -i√5
c) the sign of 2i is changed: 7 +2i
d) the sign of sqrt(7) is changed: 4 +√7
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‡ Actually, the conjugate of a binomial is formed by changing the sign <em>between</em> terms. The purpose is to allow the product of the binomial and its conjugate to be the difference of squares.
Conventionally, the conjugate of a complex number is the value with the sign of the imaginary part reversed. That is why (-2i+7)* = 7+2i.
Answer:
B. Square
Step-by-step explanation:
When in doubt, it can help to plot the points on a graph.
__
By looking at the coordinate values, you see that the first two points have the same y-coordinate (0) and the other two points have the same y-coordinate (-4). These points are on horizontal lines that are 4 units apart.
Looking at the x-coordinates, you see that one pair of points has x-coordinates 4, and the other pair has x-coordinates 8. That is, these pairs of points are on vertical lines that are 4 units apart.
Vertical and horizontal lines are at right angles to each other. That means the figure must be a rectangle or square. The lengths of the sides are all 4 units, so the figure is a square.
