3. Rectangle ABCD is shown on the coordinate grid below.
у
10
8 units
12 units
- 10 -8
X
9 units
D
o
7 units

Which is closest to the length of diagonal
AC?

3. Rectangle ABCD Is Shown On The Coordinate Grid Below.108 Units12 Units- 10 -8X9 UnitsDo7 UnitsWhich

Answers

Answer 1

Answer:

A. 8 units

Step-by-step explanation:

Coordinates of A = (-2, -2)

Coordinates of C = (5, 2)

Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex] to calculate the length of diagonal [tex] \overline{AC} [/tex].

Let,

[tex] A(-2, -2) = (x_1, y_1) [/tex]

[tex] C(5, 2) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(5 -(-2))^2 + (2 -(-2))^2} [/tex]

[tex] d = \sqrt{(7)^2 + (4)^2} [/tex]

[tex] d = \sqrt{49 + 16} = \sqrt{65} [/tex]

[tex] d = 8.1 [/tex] (nearest tenth)

Therefore, the closest to the length of diagonal [tex] \overline{AC} = 8 units [/tex]


Related Questions

nter the equation of the line in slope-intercept form.

Slope is 6, and (1, 3)

Answers

Answer:

The equation in the slope-intercept form will be:

[tex]y=6x-3[/tex]

Step-by-step explanation:

Given

slope = m = 6point = (1, 3)

As we know that the equation of a line in point-slope form is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = 6 and point = (1, 3)

[tex]y-3=6\left(x-1\right)[/tex]

Writing the equation in slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

[tex]y-3=6\left(x-1\right)[/tex]

add 3 to both sides

[tex]y-3+3=6\left(x-1\right)+3[/tex]

[tex]y=6x-3[/tex]

Therefore, the equation in the slope-intercept form will be:

[tex]y=6x-3[/tex]

can someone help me with?? −1(4/5)-Pleasee?

Answers

Answer:

1(4 / 5)

1 x 4= 4

1 x 5= 5

4 / 5 = 0.8

What percent of 85 is 51 ?​

Answers

Answer:

60%

Step-by-step explanation:

51/85×100×1/00

=3/5×100×1/100

=60×1/100

=60%

60 percent of 85 is equal to 51.

As per the given data:

We have to find what percent of 85 is 51.

In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage. To determine a percentage of a number, divide it by its value, then multiply the result by 100.

By using the above definition, we can find percentage.

Let's assume x percent of 85 is equal to 51.

= x% of 85 = 51

= (x/100) × 85 = 51

= (x/100) = 51/85

= (x/100) = 0.6

= x = 0.6 × 100 = 60

Hence, 60 percent of 85 is equal to 51.

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Write the point-slope form of the equation of the line through the given point with the given slope. through: (5, -1), slope –6/5 ​

Answers

Answer:

Y = - 6/5 + 5

Step-by-step explanation:

Go to the point (5,-1) on a graph and use the slope to find the y-intercept (5 to the left, then 6 up)

Joe is at the ice cream shop in his house is 9 blocks north of the shop the park is 9 blocks south of the ice cream shop where he is at the ice cream shop is Joe closer to the park or his house how could the number 0 be used in the situation explain using the number line to the right to help you​

Answers

Answer:

pls could you explain the question a bit more?...

Step-by-step explanation:

2 more leftttt yay help

Answers

Answer:

25%

Step-by-step explanation:

1/4 is 25% of 4 areas please Brainliest

dave can clean pools at a constant rate of 3/5 pools/hour what is the ratio of the number of pools to the number of hours?​

Answers

do you ever wake up and scroll to far maybe 1 year in someone’s Instagram and you like it and accidentally write the whole new movie script? Just me?

4 (correct me if I'm wrong)

a. Complete the model below using the ratio from Example 1, part (b). b. Complete the model below now using the rate listed below. 3. Dave can clean pools at a constant rate of 3/5 pools/hour. a. What is the ratio of pools to hours? b. How many pools can Dave clean in 10 hours? c. How long does it take Dave to clean 15 pools? 4.

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Can somebody pleaseee help me with my Absolute Value homework? I need help understanding the questions. They don't need long answers.. If I add someone as a friend can you send an image of the homework in the message? I need to complete hopefully tonight because its past due... I would really appreciate help!!

Answers

yes! i’m really good at absolute value! wanna add me on snap?

Answer:

I can try.....

Step-by-step explanation:

Accept my friend request and I'll see what i can do.

what is the range of the function shown below?

Answers

Answer:

Step-by-step explanation:

{ - 9, - 4, - 1}

the vertices of a rectangle are A(2,0), B(5,0), C(5, -2), and D(2,-2). reflect the rectangle in the y axis, and then rotate the rectangle 180 degrees about the origin. what are the coordinates of the image?

Answers

Answer:

a(2,0) b(5,0) c(5,2) d(2,2)

Step-by-step explanation:

hope this helps!!

Help with math

I have to have 20 characters or more to ask question...

Answers

Answer:

x=[tex]-\frac{113}{3}[/tex]

Step-by-step explanation:

First, we need to solve the angle inside the triangle. That would be 55+40+angle measure=180

angle measure=85°

Now that we know that, we can solve for x by setting 85-3x-18 equal to 180° because these two values form a linear pair which is 180°.

Let's use some simple algebra to solve for x:

85-3x-18=180

67-3x=180

-3x=113

x=[tex]-\frac{113}{3}[/tex] or about -37.67

Hope this helps!! :)

Use the point-slope form to write an equation, then write the equation in slope-intercept form.

Answers

Point slope: y-y1 = m(x-x1)

6. Find slope
(0-2)/(2+3) = -2/5
y - 2 = -2/5 (x + 3)
Y = -2/5x - 1.2 + 2
Slope intercept: y = -2/5x + 0.8

8. Slope: (-1+4)/(5+7) = 1/4
y + 4 = 1/4(x+7)
Y = 1/4x + 1.75 - 4
Y = 1/4x - 2.25

what is the corresponding definition of opposites ​

Answers

Answer: absolute values

Step-by-step explanation:

PLEASE HELP ASAP!!!!!!!!!!100 POINTS!!!!!!!!!!!! WILL GET MARKED BRAINLEST!!!!!!!!!!!!!
1. A local pizzeria sold 75 pizzas yesterday.

(A) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today.

How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning. Show your work!

(B) Suppose the actual number of pizzas sold today was 66. Describe the number of pizzas sold as a percent increase or decrease. Show your work!

Answers

Answer:

(A) The pizzeria needs to sell 90 pizzas to receive the bonus.

(B) It would be a 12% decrease then the original amount of pizzas sold which is 75.

Step-by-step explanation:

(A)- You convert 20% into a decimal which is 0.20 then multiply it to 75 to find out how many more pizzas need to be sold for them to receive the bonus. In this case it was 15. Then you add it to the 75 and you get 90. So the pizzeria needs to sell 90 pizzas for them to receive their bonus.

(B)- First you see if it was an increase or decrease. In this case it was a decrease because it dropped from 75 to 66. Now you calculate by how much it had dropped. Here it dropped by t9. Now to find the percent on how much it dropped you divide 9 by 75 and you get 0.12. Then you multiply by 100 to get your percentage with is 12%. So the number of pizzas sold today would show as a 12% decrease.

If you can make my answer the brainliest that would be much appreciated. Thanks!

Find the ordered triple of these equations.
X + y + z = 12
y = 1
X - Y - Z = 0

Answers

Answer:

the ordered triple of these equations will be:

(x, y, z) = (6, 1, 5)

Step-by-step explanation:

Given the equations

[tex]x + y + z = 12[/tex]

[tex]y=1[/tex]

[tex]x - y - z = 0[/tex]

As

[tex]y=1[/tex]

We can get the value of x by adding the first and third equation

so

[tex]x + y + z = 12[/tex]

[tex]x-y-z=0[/tex]

so the equations become

[tex]x+x+y-y+z-z=12+0[/tex]

[tex]2x = 12[/tex]

[tex]x = 6[/tex]

Putting x = 6 and y=1 in the first equation [tex]x+y+z=12[/tex]

[tex]6 + 1+ z = 12[/tex]

[tex]7 + z = 12\\z = 12 -7[/tex]

[tex]z = 5[/tex]

Therefore, the ordered triple of these equations will be:

(x, y, z) = (6, 1, 5)

The cost of my monthly train ticket was £60 it went up by 25% what is the new price

Answers

Answer:

75 EUR

Step-by-step explanation:

1.00 (EUR 60) + .25 (EUR 15)

60 EUR * 1.25 = 75 EUR

Answer:

45

Step-by-step explanation:

[tex]60 \times 25 \div 100 = 15 \\ 60 - 15 = 45[/tex]

Benny gets paid $500 every two weeks. After his paycheck is deposited, he has to pay his cell phone bill of $30 and buy a birthday gift for his girlfriend. If Benny has $390 left in his account, how much did he spend on the gift?

Answers

Answer:

$80

Step-by-step explanation:

500-390-30

$80

500-30= 460
460-390=70
Benny spend 70$ on the gift

When solving the following system using elimination, which of the following will allow you to get opposites?

−4x−15y=−17
−x+5y=−13

Multiply the first equation by -1.


Multiply the first equation by -4.


Multiply the second equation by 4.


Multiply the second equation by -4.

Answers

Multiplying the second equation by -4 will give you +4x, which now allows you to eliminate the x variable and solve for y.

the floor of a room 3m wide and 5m long is to be covered with square tiles of side 10cm. How many tiles will be used?​

Answers

Step-by-step explanation:

division is key (divide both areas)

change units to cm

300×500÷10×10=1500 tiles

Pls help I will give u 10 points

Answers

It is correct
One room per day. Nine rooms in nine days

Answer:

1. isn't

2. 0.5 or 1/2

3. 9x0.5=4.5 or 9/2

You can do this... it's easy stuff. You got it!

Rational Numbers
Irrational Numbers
2.3495
65.4279
39
7
54
2.45
64
20
6
0.24244...
1.3
89.3668...
7.121314...
2.6363...
7101

Answers

irrational numbers never end.

r: 2.3495, 65.4279, 39, 7, 54, 2.45, 64, 20, 6, 1.3, 7101.

ir: 0.24244..., 89.3668..., 7.121314..., 2.6363...

Please help me I’m struggling awnser a fraction in simplest form

Answers

Answer:

the answer is 4

the slope would be 4/1 which simplifies to 4

Answer:

m=1/4

Step-by-step explanation:

When counting from your first point, you could think of it like this:

"up 1 over 4"

1/4

HTH :)

am i wrong or right?i will give brainliest to the right answer

Answers

Answer:

The correct answer is the first one

Step-by-step explanation:

The initial charge means when x is 0.

When x is 0, the y-value would be $3 (i think you thought that the initial value was 1)

Good luck with other questions

2 divided by 3/4 in fraction form

Answers

Answer:

8/3  or 2   2/3

Step-by-step explanation:

so we take 3/4 and flip it. 2 x 4/3= 8/3  or   2    2/3

Hope this helps :3

The Quotient is 8/3.

What is Division?

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2 divided by 3/4

As, division is not possible in fraction so we will perform the multiplication

= 2  ÷ 3/4

= 2 x 4/3

= 8/3

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Which values should you plot to show a linear relationship? Day Number of bacteria Log(bacteria) 0 2 0.301 1 1 5 0.699 N 8 0.903 3 15 1.176 4 33 1.516 5 65 1.813 A. "Day" on the x-axis and "Number of bacteria" on the y-axis B. "Number of bacteria" on the x-axis and "Log(bacteria)" on the y axis C. "Day" on the x-axis and "Log(bacteria)" on the y-axis D. "Log(bacteria)" on the x-axis and "Day" on the y-axis​

Answers

The values you should plot to show a linear relationship is;

C. "Day" on the x-axis and "Log(bacteria)" on the y-axis

What is the graph of the linear relationship?

The table for the relationship between days and number of bacteria is;

Days       Bacteria          log bacteria

0               2                      0.301

1                5                      0.699

2               8                      0.903

3                15                    1.176

4                33                   1.516

5               65                    1.813

We see from the table that bacteria is showing exponential growth  

Thus, if log of bacteria is plotted against day, it will show a linear relationship.

Therefore, the graph will be plotted as Day on the x-axis and Log(bacteria) on the y-axis  

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Please help, other 70 points in other question

Answers

Step-by-step explanation:

Given Equation :-

y = -1/2x + 5

On comparing :-

y = mx + c m = -1/2

Slope of perpendicular line :-

m ' = 2

Using Point slope form :-

y - y1 = m ( x - x1) y - 0 = 2 ( x -3)y = 2x - 6 2x - y - 6 = 0

8 metallic cubical blocks o of
equal size are
melted and joined together to form a
bigger cubical block - If each smaller
block is lorm thick find the thickness of
the
block.
bigger

Answers

Here is the answer. Your welcome

Estimate the sum to the nearest whole number. Then perform the
calculation.
8.575 + 12.625 + 8.4 + 70.4

Answers

Answer:

=100

Step-by-step explanation:

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Which of the following set of numbers could NOT represent the three sides of a triangle.

Need this answer in 5 minutes.

Answers

Answer:

dou still need the answer?

Step-by-step explanation:

Find the perimeter and area of a circle with diameter 14 m​

Answers

Answer:

perimeter = 43.96 m

area = 153,86 m2

Step-by-step explanation:

d = 14 m

r = 7 m

perimeter = 2πR = 43.96 m

area = π[tex]R^{2}[/tex] = 153,86 m2

Find radius (half diameter) then area is Pi x r squared which is Pi x49 for area and permitter is 2 x Pi x r which in this case is pi x 14
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