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1 year ago

What should be your first step when subtracting integers?

Mathematics

2 answers:

Elena-2011 [213]1 year ago

8 0

What should be my first step when subtracting integers is to .A.add the opposite.

<h3>What are the step to follow in order to subtract integers?</h3>

To perform this operation first number must be kept as the minuend, and then then change the operation from subtraction to addition.

Then proceed with the regular addition of integers, hence What should be my first step when subtracting integers is to add the opposite.

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Jessie draws triangle ABC on a coordinate grid. The slope of line segment AB is Jessie then transforms triangle

balu736 [363]

Answer:

1) Supports Jessie's Claim

2) Does Not Support Jessi's Claim

3) Supports Jessie's Claim

4) Does Not Support Jessi's Claim

Step-by-step explanation:

The given transformations are;

1) Rotation of 180° around the origin

For a rotation of 180° around the origin, either clockwise or anti clockwise, for a given coordinate of the preimage (x, y), the coordinate of the image is (-x, -y)

Therefore, whereby the slope of the preimage, given two points (0, 0) and (2, 2), = (2 - 0)/(2 - 0) = 1

For the image with the points (0, 0) and (-2, -2), we have;

(-2 - 0)/(-2 - 0) = 1

Therefore, the slope of the preimage and the image are equal

Therefore, supports Jessie's Claim

2) For a reflection across the line y = 2, we have

We note that the line y = 2 is parallel to the x-axis

For a reflection across the x-axis, for a preimage (x, y), we have the coordinates of the image (x, -y)

However for the reflection across the line y = 2, we have;

For a preimage, (x, y), the coordinate of the image is (x, -y+4)

Given two points, of the preimage (0, 0) and (2, 2), we have the image given as (0, 4) and (2, -2 + 4) = (2, 2);

The slope of the preimage is (2 - 0)/(2 - 0) = 1

The slope of the image is (2 - 4)/(2 - 0) = -1

The slope of the line of the preimage and the image are different

Therefore, does Not Support Jessi's Claim

3) For a translation up 1.25 units, we note that the difference in the y and x values of the coordinates of the preimage and the image will be equal when finding the slope, and therefore, the slope of the figure of the preimage and the slope of the figure of the image will be equal

Therefore, supports Jessie's Claim

4) For a reflection across the x-axis, a point on the preimage, with coordinates (x, y) will form a point on the image with coordinates (x, - y)

For a preimage with points (0, 0) and (2, 2), we have the image as (0, 0) and (2, -2)

The slope of the preimage is (2 - 0)/(2 - 0) = 1

The slope of the image is (-2 - 0)/(2 - 0) = -1

The slope of the line of the preimage and the image are different

Therefore, does Not Support Jessi's Claim

6 0

3 years ago

Will mark brainiest if right Is this function linear or nonlinear?<br><br> y=3x−5

qwelly [4]

Answer: This function is linear because it forms a straight line when graphed.

Would appreciate brainly <3

6 0

2 years ago

A bus company took a tour bus on a ferry when there were 30 people aboard. The ferry charged the bus company $180. The following

OLEGan [10]

Problem: A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. How much is the "base rate" for the empty bus? How much does each person cost? Show this using y = mx + b form.

Solution:
Let x = the number of people on the bus
Let y = the total cost for the bus with its passengers to use the ferry.

Then, when there are 30 people on the bus (x = 30), the cost was $180 (y = 180). This means the point (x, y) = (30, 180).
Also, when there were 50 people on the bus, the cost was $220. So that is the point (50, 220).

You see - we have two points and so we can write the equation of a line that goes through those points. The first thing we have to do is find the slope.

The slope of the line joining two points is the rise divided by the run. That means

m = (y2 - y1) / (x2 - x1)

So we put in the values of (30, 180) and (50, 220):

m = (220 - 180) / (50 - 30)
m = 40 / 20
m = 2.

The slope is 2. Now we can write it in the form y = mx + b, using 2 for m:

y = 2x + b.

This equation connects both points, so that means it goes through those points. We want to know "b" next, so we can now substitute in either point for the x and the y. I will substitute in x = 50 and y = 220:

220 = 2(50) + b
220 = 100 + b
b + 100 = 220
b = 120.

Now I know the b and the m, so I can finally write the full y=mx + b form of the equation:

y = 2x + 120.

For the other questions, I can look at the equation I got. The y-intercept (b value) is $120. That means that we are adding $120 on to the price all the time. That's the price for the empty bus. The 2x means to multiply the number of people by two and add this to the $120. So each person is $2.

Here's an example: if you had just 10 people on the bus, you'd pay $120 for the empty bus and $2 for each person. That's $20 for the people and $120 for the bus. That total is $140. Let's see if (10, 140) works in the equation we got:

y = 2x + 120
140 ?=? 2(10) + 120
140 ?=? 20 + 120
yes. 140 = 140. It does work.

Now you try it with your question.

5 0

3 years ago

BRAINLIEST FOR CORRECT ANSWER!!!<br> Please Help!

vlada-n [284]

Answer:

Step-by-step explanation:

x+2x+x+10=90

4x=80

x=20

give brainliest please

6 0

3 years ago

Read 2 more answers

What happens to the graph of y = |x| when the equation changes to y |x-9|?

zhenek [66]

Answer: The graph will move 9 spaces to the right.

7 0

3 years ago