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disa [49]
3 years ago
15

Write the expanded form of the expression. -1/2 (y - x) = ?

Mathematics
1 answer:
morpeh [17]3 years ago
3 0

Answer:

The expanded form of the expression -\frac{1}{2}(y-x) is \mathbf{-\frac{1}{2}(y)+\frac{1}{2}(x)}

Step-by-step explanation:

We need to write expanded form of the expression -\frac{1}{2}(y-x)

For expansion we will use distributive property of multiplication over addition

a(b+c)=ab+ac

Applying above rule:

-\frac{1}{2}(y-x)\\=-\frac{1}{2}(y)-(-\frac{1}{2}(x))\\=-\frac{1}{2}(y)+\frac{1}{2}(x)

So, the expanded form of the expression -\frac{1}{2}(y-x) is \mathbf{-\frac{1}{2}(y)+\frac{1}{2}(x)}

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Multiply the following complex numbers:<br>(7-3i)(8 + 4i)​
mel-nik [20]

Answer:

A

Step-by-step explanation:

Noting that i² = - 1

Given

(7 - 3i)(8 + 4i) ← expand factors using FOIL

= 56 + 28i - 24i - 12i²

= 56 + 4i - 12(- 1)

= 56 + 4i + 12

= 68 + 4i → A

3 0
3 years ago
Hi :) I need help with the question in the screenshot if anybody knows it can you plz help I will give you brainliest, thanks an
amm1812

This question is difficult to give a definite answer to because it's an approximation, but I estimate the solutions to be around x = 2.6 and x = -2.6.

When they ask for solutions of the graphed function they are asking for an approximation of where the graph intercepts the x-axis, and we can see it kind of intercepts in the middle of 2 and 3, except slightly closer to 3, which is why I estimated 2.6.

The graph also appears to be symmetrical, which means the solutions will be the same except one would be negative and one would be positive, which means the second solution would be -2.6.

I hope this helps! Let me know if you have any questions :)

6 0
3 years ago
There are 2 boys for every 3 girls. Today 5 new boys were added making the number of girls and boys the same. How many boys and
Anna11 [10]

Answer:

10 boys, 15 girls

Step-by-step explanation:

Original ratio: 2 boys/3 girls

let x be the scale factor of the ratio

2x plus 5 boys over 3x girls = 1 (because the # of boys/girls are the same)-------> 2x+5/3x = 1

Simplify: 2x+5=3x

Simplify: 5=x

plug x back into the original ratio: 10/15

Check: 10/15 = 2/3

10 boys + 5 boys = 15, 15/15 = 1

5 0
2 years ago
I need help with #7 ?!!! <br> Btw #6 is correct
Musya8 [376]

Choice C for problem 6 is correct. The two angles (65 and 25) add to 90 degrees, proving they are complementary angles.

===========================================

The answer to problem 7 is also choice C and here's why

To find the midpoint, we add up the x coordinates and divide by 2. The two points A(-5,3) and B(3,3) have x coordinates of -5 and 3 respectively. They add to -5+3 = -2 which cuts in half to get -1. This means C has to be the answer as it's the only choice with x = -1 as an x coordinate.

Let's keep going to find the y coordinate of the midpoint. The points A(-5,3) and B(3,3) have y coordinates of y = 3 and y = 3, they add to 3+3 = 6 which cuts in half to get 3. The midpoint has the same y coordinate as the other two points

So that is why the midpoint is (-1,3)

7 0
3 years ago
How do i solve 6y-5=-3(2y+1)
ziro4ka [17]
<span>6y-5=-3(2y+1)
6y - 5 = -6y - 3
12y = -3 + 5
12y = 2
    y = 2/12
    y = 1/6</span>
3 0
4 years ago
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