Write the coordinates of two points that are the given distance from these points and horizontal/vertical:
6. 5 units from (–1, –2) ( , –2) and ( , –2) ___________
7. 8 units from ( 2 , 4 ) ( 2 , ) and ( 2 , ) _
8. 3 units from (–7, –5) (–7, ) and (–7, ) _
9. 6 units from ( 4, –1) ( 4 , ) and ( 4 , ) _
10. 10 units from (–1, 9) ( , 9 ) and ( , 9 )
11. 7 units from (–3 , 2) ( , 2 ) and ( , 2 ) ________________

Answers

Answer 1

Answer:

7 units from (-3,2)(,2)and(,2)

Step-by-step explanation:

The purpose of this task is for students to solve a mathematical problem using points in the coordinate plane. This task also helps lay the foundation for understanding operations on signed numbers without formally introducing those notions, which are not expected until 7th grade (see 7.NS.1). Students will not have the full machinery needed to find distances between two arbitrary points in the plane until they have studied the Pythagorean Theorem in 8th grade. However, it is straightforward for them to find horizontal and vertical distances, which mirrors how one might represent sums and differences of signed numbers on a number line. The solution for the first part shows how these questions can be represented using absolute values (as described in standard 6.NS.C.8), although students are unlikely to make this connection without being asked to do so. If students are asked to solve this problem on their own first, it could be used to launch a discussion of the relationship between the the absolute value of coordinates of points in the plane and their distance to the respective axes.

Please note that students will have to assume that the points have integer coordinates, which is reasonable but worth mentioning.

Solution

The distance between points B and C is 5 units, as indicated below.

We can determine the distance between points B and C by counting the units between the two points since they are on the same vertical line which happens to be a grid line.

We can also note that the coordinates for B are (3,2) and so it is |2| units above the x-axis. Similarly, the coordinates for C are (3,−3), so it is |-3| units below the x-axis. Thus, the distance between B and C is

|2|+|−3|=5

units.

The distance between points D and B is 7 units, as indicated below.

The distance between points D and E is 4 units, as indicated below.

Point C is the only one of points A,…E that is both 4 units away from (−1,−3) and 2 units away from (3,−1). There is another point that satisfies these two criteria (which is the other intersection point of the circle of radius 4 and circle of radius 2 shown below), but it does not have integer coordinates and is not one of the points identified in the task

Related Questions

There are currently 6,210 fish in a lake. If the number of fish in the lake increased by 15 percent during the last year and 20 percent during the year before that, how many more fish are in the lake currently than in the last two years ago?

Answers

I’m pretty sure the answer should be 1,710 if not i’m sorry

Answer:

1710 fish

Step-by-step explanation:

Let the number of fish in the lake last year be 'x'

The equation becomes-
x + 15x/100=6210 (This is because 15% of x is added in x to become
6210... hope you understand)

x + 15x/100 = 6210
115x/100 = 6210
23x/20 = 6210
x = 6210 * 20/23
x = 270 * 20
x = 5400

Therefore- The number of fish last year = 5400

Now, let the number of fish in the lake 2 years ago be 'y'

The equation becomes-
y + 20y/100 = 5400 (Same logic as last time)

y + 20y/100 = 5400
120y/100 = 5400
24y/20 = 5400
6y/5 = 5400
y = 5400 * 5/6
y = 900 * 5
y = 4500

Therefore- Fish in the lake two years ago = 4500 fish

Difference between current and two years ago = 6210-4500
= 1710 fish

Hope you understood the answer and I hope it helps you :)

???????????????????????????

Answers

Answer:

12 and 78 are complementary.

80 and 100 are supplementary.

50 and 50 are neither.

Step-by-step explanation:

Hope it helps! =D

An isosceles trapezoid has a perimeter of 33 centimeters. Its shorter base measures 6 centimeters and its longer base measures 9 centimeters. The two remaining sides have the same length; what is that length?

Answers

Answer:

I don't know what you think you should

Each remaining side is 9

I need help with the algebra equation 4x+2=38 can someone please help

Answers

How to solve your problem

4x+2=38

Solve

Subtract

from both sides

4x+2=38

4x+2\textcolor{#C58AF9}{-2}=38\textcolor{#C58AF9}{-2}

Simplify

Divide both sides by the same factor

Simplify

Solution

x=9

Answer:

x = 9

Step-by-step explanation:

4x + 2 = 38

4x = 38 - 2

4x = 36

x = 36/4

x = 9

Brainliest, please!

please help i'll do anything

Answers

Answer

Step-by-step explanation:

9=3q,q=3

Rashad took a test with 75 multiple - choice questions. If he got 9 questions incorrect,what is the ratio of the questions he got correct to the questions he got incorrect.

Answers

Step-by-step explanation:

If he got 9 questions wrong on a 75 multiple choices test, that means he got 66 right. That means the ratio to the questions he got correct to the questions he got incorrect is 66:9, or 22:3 simplified.

What the person said above me

A chemist prepares two acid solutions.

Solution 1
3 parts sulfuric acid to 7 parts water

Solution 2
4 parts sulfuric acid to 9 parts water

a. Use a ratio table to determine which solution is more acidic.

Solution 1 Solution 2
Water Sulfuric Acid
Water

Sulfuric Acid
7
9
21
18
42
45
63
63
Question 2
Solution
has the greater concentration.

Question 3
b. Use a graph to determine which solution is more acidic.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Both graphs begin at $($ Response area, Response area $)$ . The graph for solution Response area is steeper, so it has Response area concentration of acid.

Answers

Answer:

Check Description for answer

Step-by-step explanation

do it urself

Answer:

A) solution 2 is more acidic than solution 1

Step-by-step explanation:

A chemist prepares two acid solutions:

Solution 1: 3 parts sulfuric acid to 7 parts water

Ratio of sulphur to water: 3/7 (3:7)

Solution 2: 4 parts sulfuric acid to 9 parts water

Ratio of sulphur to water: 4/9 (4:9)

___________________________________________________

Part A: (using ratios to determine which solution is more acidic)

First we make same denominator, since the denominators are 9 and 7, we have to find the lcm (lowest common multiple) they both have with is 63. To do that, we must multiply the denominators with either 7 or 9.

Solution 1: Numerator (3) multiplied by 9 and then denominator (7) multiplied by 9. This makes out fraction/ratio 27/63

Solution 2: Numerator (4) multiplied by 7 and then denominator (9) multiplied by 7. This makes out fraction/ratio 28/63

Since 28/63 (or just 28) is a larger quantity than 27/63 (or just 27) this means solution 2 is more acidic than solution 1.

Mathematical Line (Not sure what you would call this lol): 28 > 27

Part B: (Let 'y' amount of sulfuric acid mix with 'x' amount of water)

Equation of solution 1: y = 3/7x

Equation of solution 2: y = 4/9x

Please find attachment for graph.

Part C: Don't have a graph, sorry! (part a. method is more preferred to find more acidic because it gives the actual acidic amount.)

what is the maximum number of 14 pound turkeys that can be purchased with the money donated while still purchasing 100 total turkeys? 10 pound turkeys cost 9.25 and 14 pound turkey cost 12.75. Money limit is $1000.

Answers

Answer:

64.05$

Step-by-step explanation:

A number that is 7 more than 3 times x

Answers

not sure what the question is but 3x + 7 is the algebraic expression that would represent this statement.

Answer:

Step-by-step explanation:

7 multiplied by 3

is =28

I need heeeeeellllllllpppppp

Answers

Answer:

-7/5 is greater than -1 1/5 because -7/5 lies above -1 1/5 on a vertical number line.

Step-by-step explanation:

I hope this is correct. If not I'm so sorry!

The answer would be 11/5

HELP ASAP PLEASE NOW!!!!!!

Answers

Answer:

The answer is the second graph

Step-by-step explanation:

The dot is closed meaning no more than 52

The answer is the second paragraph

(CORRECT ANSWER GETS BRAINLIEST) From the information in the graph, what is the mean number of books the boys read?A.3 B.4 C.5 D.6

Answers

B.4!
Explanation: Count how many books the boys read in total: 7, 2, 3, 5, 3
Add them up: 20
Divide by the number of days: 20/5
=4

On Monday 7 read
On Tuesday 2read
On Wednesday 3 read
On Thursday 5 read
On Friday 3read

Total read (7+2+3+5+3)
=20
Mean = Σf/n
Σf= sum of data(frequencies)point
n= total number of data(frequencies)
=20/5
=4
Man number of books the boys read is 4
Option B

i need help pls help

Answers

x is 5 cus in right triangle if it is 30* the ab^2=ac^2+cb^2 x was ab/2

Answer:

x is 5

Step-by-step explanation:

someone give me step by step?
(24) points given! (this is 7th-grade math, ixl)

Answers

91 hope this helps!

The answer is $91

Explanation: The problem wants you to understand how to interpret tables. The question is asking how much a silver bracelet costs. If you to the bracelets column and find the style, (silver) you will see that a silver bracelet costs $91.

The composite figure is made up of three simpler shapes. What is the area of the figure?

A. 80
B. 49
C. 68
D. 74

Answers

Answer: I’m pretty sure it’s 80

Step-by-step explanation:

Because the very top triangle is 4x3 which is 12 then the rectangle under it is 6x3 which is 18 then the triangle under that is 5x3 which is 15 and the triangle on the left is also 15 and the square in the middle is 4x5 which is 20 and add it all up 12+18+15+15+20=80 sry if that’s confusing.

Answer:

74 is the answer

Step-by-step explanation: You should find the area of each shape and add all the areas together to get the full area of the shape.

(base x height)+(length x breath)+(1/2 x base x height)
(10x5)+(6x3)+(1/2x3x4)

50+18+6

74 ← this is the full area of the shape

and, remember when finding the area of a triangle you should always multiply 1/2 too for example- ( 1/2 x base x height )

If a circle has a diameter of 26 inches what is its radius?

Answers

The radius of the circle is 13

Hope this helps!!!!

A diameter of a circle is twice as long as the radius, or D =2r. Plug in the diameter in this problem for the D and find the radius. 26=2r Divide by 2 on both sides
13 = r. Hope this helps

At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.

Ketchup Relish Chili
54 36 60

Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042

Answers

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

A supermarket chain has 1,100 stores locations in all and 780 of them are in Florida The chain had total revenue of 33 billion last year. assuming the stores have equal revenue. which of the following was correct for last year

A.) The revenue for all of the stores in Florida 31$ million per store

B.) The revenue for all of the stores in Florida was $23.4 billion

C.) The revenue for all of the stores in Florida was $24 billion

D.) The revenue was $29 million per store

Answers

Answer:

the answer is b....i think

Step-by-step explanation:

The correct answer should be B

PLS PLS PLS HELP I WILL MARK BRAINLIEST !!!!!!!

Answers

Reflection over the Y Axis

A. The figure is reflected across the y-axis.

Pls help me to find the median and mode, with solution pls

Answers

Answer:

Mode=32

Mean=32

Median=32

Step-by-step explanation:

Mode=highest frequency

Mode=10

Mean=£fx

£f

Mean=1280

=32

Median=n/2

=40/2

=20

median=32

Mode-32
Median-32
Hope this helpsssss

Use the Midpoint Rule with $n=5$ to estimate the volume obtained by rotating about the y-axis the region under the curve $y=\sqrt{1+x^3}$, $0\leq x\leq 1$.

Answers

To estimate the volume using the Midpoint Rule with $\displaystyle n=5$, we need to divide the interval $\displaystyle 0\leq x\leq 1$ into $\displaystyle n$ subintervals of equal width. Since $\displaystyle n=5$, each subinterval will have a width of $\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}$.

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

$\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x$

where $\displaystyle y_{i}$ represents the value of the function $\displaystyle y=\sqrt{1+x^{3}}$ evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is $\displaystyle \Delta x=\frac{1}{5}$, the midpoint of the $\displaystyle i$-th subinterval is given by:

$\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}$

Substituting $\displaystyle x_{i}$ into the function $\displaystyle y=\sqrt{1+x^{3}}$, we obtain:

$\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}$

Now, we can calculate the approximate volume using the Midpoint Rule:

$\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x$

Substituting the values of $\displaystyle y_{i}$ and $\displaystyle \Delta x$ into the formula, we can evaluate the sum and compute the estimated volume.

$\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}$

♥️ $\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}$

The answer your looking for is right above my

Debra sold t-shirts at a festival. She made $5 for each t-shirt she sold. Her expenses were $22. If she made a profit of $83, how many t-shirts did she sell?

Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 5, 22, and 83. Let x represent the number of t-shirts.
answer options:

_x+_=_
_x-_=_

Answers

Answer:

Step-by-step explanation:

she sold 22

Find the volume of a prism. Show your work.

Answers

Answer:

Step-by-step explanation:

11 times 22

the area of its cross-section multiplied by the length

answer: 242cm squared

The answer is 242 CM squared. The answer above explains better than I can :)

pls help me with dis bro its aleks

Answers

Answer: 8

Work: if you were to write it out like the picture, you would get 8

PLEASE HELP IM BEGGING U

Answers

Answer:

0.6, -0.1, -1/4, -3/4

Step-by-step explanation:

From what I have learned over the years, I believe this is correct. :)

Hope this helps!

All the love, Ya boi Fraser

Heyy! The answer from great to least is:
0.6
0.1
-1/4
-3/4

This is because:
-3/4= -0.75
-1/4= -0.25

Hope this helps!! May I please have brainliest? Have a great day! :)

At an office supply store, Samantha bought 5 notebooks and 2 pens for $9.
Jeffrey bought 3 notebooks and 2 pens for $6. Write a system of equations to represent this situation.

Answers

Answer: Let x be the cost of one notebook and y be the cost of one pen. Then we can write the following system of equations to represent the situation:

5x + 2y = 9

3x + 2y = 6

This system represents the fact that Samantha paid $9 for 5 notebooks and 2 pens, and Jeffrey paid $6 for 3 notebooks and 2 pens.

Step-by-step explanation:

Answer: hope this helps ♡

5x + 2x = 9

3x + 2x = 6

Step-by-step explanation:

x = cost of 1 item

Samantha → 5x + 2x = $9

Jeffrey → 3x + 2x = $6

5x + 2x = 9

3x + 2x = 6

Liz's age is two-thirds of Debbie's age. Debbie's age is half of Freya's age. what is the ratio of Liz's age to Freya's age?

Answers

Answer:

Let's start by using variables to represent the ages of the three people:

Let L be Liz's age.

Let D be Debbie's age.

Let F be Freya's age.

From the problem, we know that Liz's age is two-thirds of Debbie's age, so we can write:

L = (2/3)D

We also know that Debbie's age is half of Freya's age, so we can write:

D = (1/2)F

To find the ratio of Liz's age to Freya's age, we need to express Liz's age and Freya's age in terms of a common variable. Since we have an equation relating Debbie's age to Freya's age, we can use that as the common variable. From the equation D = (1/2)F, we can solve for F in terms of D:

F = 2D

Now we can substitute this expression for F into the equation for Liz's age:

L = (2/3)D = (2/3)(1/2)F = (1/3)F

So Liz's age is one-third of Freya's age. The ratio of Liz's age to Freya's age is therefore 1:3.

The ratio of Liz’s age to Freya’s is 1:3

I have 60% on my iPad and my brother has 90% on his how much more percentage I need as a fraction.

Answers

Answer:

1/3

Step-by-step explanation:

just convert it?

3/10

Step-by-step explanation:

60% is the same as 60/100

90% is the same as 90/100

90-60=30

30/100

30/100 is divided by 10 on each side to simplify it to 3/10

suppose the length of each card in the example problem is shortened to 1/4 meter.Will the area of each card now be greater or less than 1/20 square meter? Explain

Answers

Answer:

less than 1/20 square meter

Step-by-step explanation:

The area of each card will be less than 1/20 square meter.

Reason: A card that is 1/10 m wide and 1/2 m long has an area of 1/20 square meter. By making the length of the card half of what it was but not changing the width, the area of each card is 1/2 of what it was, so the area is now smaller. The new area is less than 1/20 square meter.

2. The graph shows a proportional relationship between the number of prairie dogs in a community and the amount of grass they eat per week.

Answers

Answer:

A.3,000 prairie dogs

B. 18,000 pounds

C. 6 pounds per prairie dog

Step-by-step explanation:

A. Use graph

B. 2000x9=18,000

C.18000 divided by 3000= 6

*Give 5 stars*

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