Marcella bought a 300 pack of candied chocolates. she randomly picked out 30 candies. the results

Drag the point A to the location indicated in each scenario to complete each statement.

Art [367]

The graph from which the position of the point A can determined following

the multiplication with a scalar is attached.

Responses:

If A is in quadrant I and is multiplied by a negative scalar, c, then c·A is in quadrant III

If A is in quadrant II and is multiplied by a positive scalar, c, then c·A is in quadrant II

If A is in quadrant II and is multiplied by a negative scalar, c, then c·A is in quadrant IV

If A is in quadrant III and is multiplied by a negative scalar, c, then c·A is in quadrant I

<h3>Methods by which the above responses are obtained</h3>

Background information;

The question relates to the coordinate system with the abscissa represent the real number and the ordinate representing the imaginary number.

Solution:

If A is in quadrant I; A = a + b·i

When multiplied by a negative scalar, c, we get;

c·A = c·a + c·b·i

Therefore;

c·a is negative

c·b is negative

c·A = c·a + c·b·i is in the quadrant III (third quadrant)

If A is quadrant II, we have;

A = -a + b·i

When multiplied by a positive scalar c, we have;

c·A = c·(-a) + c·b·i = -c·a + c·b·i

-c·a is negative

c·b·i is positive

Therefore;

c·A = -c·a + c·b·i is in quadrant II

Multiplying A by negative scalar if A is in quadrant II, we have;

c·A = -c·a + c·b·i

-c·a is positive

c·b·i is negative

Therefore;

c·A = -c·a + c·b·i is in quadrant IV

If A is in quadrant III, we have;

A = a + b·i

a is negative

b is negative

Multiplying A with a negative scalar c gives;

c·A = c·a + c·b·i

c·a is positive

c·b is positive

Therefore;

c·A = c·a + c·b·i is in quadrant I

Learn more about real and imaginary numbers here;

brainly.com/question/5082885

brainly.com/question/13573157

4 0

2 years ago

Which expression is equivalent to -7(y-2)

soldi70 [24.7K]

Hello!

Distributive property: a(b+c)=ab+ac

$a=-7, b=y, c=2$

$-7y-(-7)*2$

Minus and plus sign.

$-7y+7*2$

Then multiply by the numbers.

$7*2=14$

$\boxed{=-7y+14}$

Hope this helps!

Thanks!

Have a great day!

5 0

2 years ago

Angel lives 3 3 4 blocks to the east of school. Tyrone lives 7 1 4 blocks to the west of Angel. Nadeem lives 8 blocks to the eas

Vladimir79 [104]

Answer:

3 1/2

Step-by-step explanation:

Given that:

Angel lives 3 3/4 blocks to the east of school

Tyrone lives 7 1/4 blocks to the west of Tyrone

Nadeem lives 8 blocks to the east of Tyrone.

Determining each of their homes in terms of distance from school :

Angel = 3 3/4 blocks from school

Tyrone = 7 1/4 blocks to the west of angel

Hence, distance from school will be :

7 1/4 - 3 3/4 = 3 1/2 blocks to the west of school

Nadeem = 8 blocks to the east of Tyrone :

Distance from school will be:

8 - 3 1/2 = 4 1/2 to the east of school.

Hence, 3 1/2 to the west of school is the closet distance of the three.

Hence, Tyrone lives closest to school

8 0

2 years ago

Instructions

Anuta_ua [19.1K]

Step-by-step explanation:

Drag the empty jar to the lake to get a water sample

2. Fill two beakers with 600 ml water from the jar

3. Put the “1” and “2” labels on each beaker

Take the pH meter to Beaker 1 and record the pH and description in Table A

Take the pH meter to Beaker 2 and record the pH and description in Table B

Add 1 unit of each base (soap, alkaline batteries, baking soda) to Beaker 2 and record the pH and description in Table B, and clear

This means that my hypothesis at the beginning was correct, more of m/s means KE will increase proportionally because they are all linear. I found it surprising when the bean bag height went over the water bottle drop mark.

4. To conclude, my hypothesis matched my data. The data values went up when more mass or speed was added. This means if I were in a situation where I needed more kinetic energy for something, I would know to increase mass or the speed of the object giving it energy.

The reason that this hypothesis is correct is when you have more mass, you have more energy. So, when you drop let's say a baseball, it isn’t that heavy so it would only launch the bean bag so far. But a bowling ball is very heavy and has lots of energy when falling because of that, it would make the bean bag go very high.

To make this experiment better, I would use a smoother material for the lever so energy wouldn’t be lost by friction from wood rubbing together. Also, maybe a scanner or video camera to more accurately record how far the bean bag went. All of these would help the lab get more precise results, maybe they could be used in a future lab.

7 0

2 years ago

Read 2 more answers

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. A. 4.54 B. 5.00 C. 5.83 D. 3

Kryger [21]

Answer:

5.83 = CD

Step-by-step explanation:

We can use the pythagorean theorem to solve

The legs are the x and y distances

x = (1- -4) = 5 units and y = 3 units

a^2+ b^2 = c^2

5^2 + 3^2 = c^2

25+9 = c^2

34 = c^2

Taking the square root of each side

sqrt(34) = c which is the distance from C to D

5.830951895 = CD

5.83 = CD

5 0

3 years ago