Find the length of the segment AB with the endpoints as A(-3,7) and B(6,14).
Round to 1 decimal.
AB=

Answers

Answer 1

The length of AB is 11.40 units.

The length of two points can be calculated using the distance formulae.

The distance formulae comes under the Co-ordinate geometry section.

The distance between two points is measured by squaring  the sum of the difference between the x and y co-ordinates and then applying the square root to the result.

Here the two points given are A(-3,7) and B(6,14).

The length of the line segment AB is = √(-3-6)²+(7-14)²

                                                              = √(-9)²+(-7)²

                                                              = √81+49

                                                              = √130

                                                              = 11.40 units

So, the length of line segment AB is 11.40 units.

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Related Questions

3. What is the value of the 4 in 279,045,628,312? Answer​

Answers

Answer:

10 million

Step-by-step explanation:

The value is how many time i did Your mom

You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 11 buns, 13 defrosted beef patties, and 9 opened cheese slices. Rather than throw them out, you decide to use them to make burgers that you will sell at a discount. Plain burgers each require 1 beef patty and 1 bun, double cheeseburgers each require 2 beef patties, 1 bun, and 2 slices of cheese, while regular cheeseburgers each require 1 beef patty, 1 bun, and 1 slice of cheese. How many of each should you make? plain burgers Incorrect: Your answer is incorrect. double cheeseburgers 19 Incorrect: Your answer is incorrect. regular cheeseburgers 15

Answers

From calculations, the numbers of each type we should make are;

4 plain burgers

2 double burgers

5 regular burgers

How to solve equation word problems?

Let us denote each of the types of the hamburgers as;

Plain burgers is p

double cheeseburgers is d

regular cheeseburgers is r

Thus;

For Beef patty, the equation is;

p + 2d + r = 13  -----(1)

For buns, the equation is;

p + d + r = 11   ------(2)

For cheese, the equation is;

0 + 2d + r = 9   -----(3)

Solving these three equations simultaneously using an online calculator gives;

p = 4; d = 2; r = 5

From calculations, the numbers of each type we should make are;

4 plain burgers

2 double burgers

5 regular burgers

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(f) Is it true that a function that is always
increasing will have an inverse that is always
decreasing? Support your yes or no answer.

Answers

Answer: yes it is true .

Step-by-step explanation:

If the function f(x) is either always increasing or always decreasing then it has an inverse function f –1(x). The Range of f(x) becomes the Domain of f –1(x). We find the equation of the inverse by solving the equation y = f(x) for x.

2. Kenzie makes $12.50 per hour. She works 20 hours per week. Find:
a. Her weekly pay
b. Her monthly pay
c. Her yearly pay
d. Her weekly take-home pay if she takes home 76%.

can someone explain?

Answers

Her weekly pay is $250

Her monthly pay is $1000

Her yearly pay is $12000

Her weekly take-home pay if she takes home 76% is $190

What is a unit rate?

Unit rate is the ratio of two different units, with the denominator as 1.

We have,

1 hour = $12.50

1 week = 20 hours

The weekly pay:

= 20 hours

= 20 x 12.50

= $250

Monthly pay:

= 4 weeks

= 4 x 20 hours

= 80 hours

= 80 x 12.50

= $1000

Yearly pay:

= 12 months

= 12 x 4 weeks

= 48 weeks

= 48 x 20 hours

= 960 hours

= 960 x 12.50

= $12000

Weekly take-home pay:

= 76% of $250

= 76/100 x 250

= $190

Thus,

Her weekly pay is $250

Her monthly pay is $1000

Her yearly pay is $12000

Her weekly take-home pay if she takes home 76% is $190

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2(6x)(6x) +4(12x-9)(6x)]

Answers

Answer:

360x^2-216x

Step-by-step explanation:

2(6x)(6x) +4(12x-9)(6x)

We want to simplify

Multiply the first terms

72 x^2 +4(12x-9)(6x)

Distribute the 4 to each term in the first parentheses

72x^2 + (48x -36) 6x

Multiply

72x^2 +288x^2 - 218x

Combine like terms

360x^2-216x

lesson 6.1
Graph the image of the figure using the transformation given.
options are out of the last 3 images

Answers

The figure with the coordinates R'(-4, 2), S'(-4, 4), T'(1, 5) and U' (0, 0) are graph of the image of the figure.

Hence, Option B is the correct answer.

What is translation?

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other.

Given that,

The translation is 1 units left and 5 units up.

The coordinates of the given figure are R(-3, -3), S(-3, -1), T(2, 0) and

U(1, -5).

Now, If the translation is 1 units left and 5 units up, then the coordinates become (x - 1, y + 5).

Hence, Coordinates for the image of the graph are;

R' = (-4 - 1, 2 + 5) = (-5, 7)

S' = (-3 - 1, -1 + 5) = (-4, 4)

T' = (2 - 1, 0 + 5) = (1, 5)

U' = (1 - 1, -5 + 5) = (0, 0)

Hence, The coordinates are R'(-4, 2), S'(-4, 4), T'(1, 5) and U' (0, 0).

Therefore, The figure with the coordinates R'(-4, 2), S'(-4, 4), T'(1, 5) and

U' (0, 0) are graph of the image of the figure.

Hence, Option B is the correct answer.

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At 5:00 a.m., the temperature outside was 6 °F below zero. By noon, it rose by 15 °F. What was the temperature at noon?


A: 21 °F
B: 9 °F
C: –9 °F
D: –21 °F

Answers

The answer for this question is B.

What is 20•0 only wrong answers

Answers

Answer:37

Step-by-step explanation:

Evolve eagle flies 43.2 m in three seconds the graph shows a distance a typical peregrine Falcon flies overtime at this rate what is the difference in the distances flown by these two birds after three hours of light show your work. Pls show ur work!

Answers

The difference in the distances flown by these two birds after three hours of light is 94.47km

Distance graph

According to the question, Evolve eagle flies 43.2 m, the distance it will fly in 3 hours will be;

43.2m = 3 seconds

x = 10800seconds

Find the ratio

3x = 43.2  × 10,800

x = 155520 meters = 155.530km

From the graph, the distance traveled in 3 hours is equivalent to 250km

Difference in distance

Difference = 250 - 155.530
Difference = 94.47km

Therefore the difference in the distances flown by these two birds after three hours of light is 94.47km

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Please help me with this exercise!

Answers

Good and Gather Creamy Almond Butter provides the best deal based on cost.

What is cost?

A cost is an outlay needed to create, market, or prepare an item for regular usage. In other terms, it's the cost incurred to produce a good, buy inventories, sell goods, or prepare equipment for use in a commercial activity.

Costs come in a variety of forms, both fixed and variable, but they are always recorded in the same way. Costs are deducted in a closing entry at the conclusion of the accounting period after being reported as costs on the income statement throughout the period.

Here, Good and Gathe Creamy Almond Butter is provided 16 ounces at $8.69 which is the best deal among the three based on cost.

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Translate the English phrase into an algebraic expression: the quotient of y and 5.

Answers

The expression represented by the quotient of y and 5 is y/5

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to translate the algebraic expression?

The expression is given as

the quotient of y and 5.

Quotient means divide

So, we have

the quotient of y and 5 => y/5

Hence, the expression represented by the quotient of y and 5 is y/5

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You are hiking on a trail that leads to the top of a mountain. At 1 P.M. you reach an elevation of 4400 feet. At 4 P.M. you reach an elevation of 5600 feet. What is your mean/ average hourly change in elevation?

The mean change in elevation is____ feet per hour.

Answers

Answer:

Step-by-step explanation:

1200 feet in 3 hours

400 feet per hour

That was also a question that I had.

Use the table, along with dimensional analysis, to
convert the given square unit to the square unit
indicated.
18 in² to cm²
cm² (Round to the nearest hundredth as needed.)
1 in2
1 ft2
1 yd²
1 mi2
1 acre
= 6.5 cm²
= 0.09 m²
= 0.8 m².
= 2.6 km²
= 0.4 hectare (ha)

Answers

The required converted value of the dimension 18 in² in cm² is 117cm².

Given that,
To convert the given square unit to the square unit indicated. 18 in² to cm² with the help of the table, along with dimensional analysis.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given unit to convert
is
18 in² to cm²
Since 1 in² = 6.5 cm²
So now,
18 in² = 18* 6.5 cm² = 117 cm²

Thus, the required converted value of the dimension 18 in² in cm² is 117cm².

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Write the number in Scientific notation form.
0.0755

Answers

Answer:

The scientific notation will be 7.55 x 10^-2

Step-by-step explanation:

You need to make the number at least 1 but below 10 so you would move the decimal over 2 places to the right

Hope this helps :)

Answer:

7.55 x 10⁻²

Step-by-step explanation:

0.0755

As we move the decimal two spaces to the right it will be a negative integer.

7.55 x 10⁻²

Look at attached image.

there are ten birdbaths in a park. on the first day of spring, the birdbaths are filled. Several weeks later, the overall change in the water level is found. the results are shown in the table. what is the range of the data?

Answers

Based on the change in the water levels of the ten birdbaths in the park, the range of the data is 4.2.

How to find range?

To find the range of a distribution of numbers, you need to subtract the smallest number from the largest number.

The largest number in the distribution of birdbaths is 2.6 and the smallest number in the distribution is -1.6

The range is therefore:
= 2.6 - (-1.6)

= 2.6 + 1.6

= 4.2

The range of numbers are:

2.2, 0.3, -1.5, 2.6, 1.9, 0.4, 0.6, -1.6, 2.5, -0.6

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Ben borrowed 20,000 pesos from Glennand promised to pay him after 3 years with and interest of 5% compounded annually. On the 3rd year, exact date of his payment, Ben requested to extend his deadline for another 2 years. Glenn being a considerate man, agreed but under the new condition that from then on, the interest shall be 6% compounded semi-annually. Two years later, on exact deadline, Ben asked Glenn, again, for 1 more year. He also borrowed an additional 12,000 pesos with 2% interest compounded quarterly from Glenn. He promised that he will pay everything (principal and interest) on the exact deadline. How Much will Ben pay in total?

Answers

Answer:

pay him after 3 years with and interest of 5% compounded annually. On the 3rd year, exact date of his payment, Ben requested to extend his deadline for another 2 years. Glenn being a considerate man, agreed but under the new condition that from then on, the interest shall be 6% compounded semi-annually. Two years later, on exact deadline, Ben asked Glenn, again, for 1 more year.

Step-by-step explanation:

Use the percentage method to calculate the (a) allowance amount, (b) taxable wage, and (c) amount withheld for federal income tax using the amount of income tax to be withheld information given (show work) Please help.

13.) Charlene Kirkwood manages a gift shop. She is single, earns $1243.49 each week, and claims 3 allowance.
According to this the amount of income tax to be withheld is $183
Please find the 3 following things:
a) Allowance amount
b) taxable wages
c) amount withheld for federal income tax​

Answers

Answer:

The allowance amount is the product of the number of allowances and $ 63.46

Step-by-step explanation:

1x$ 63.46 = x$ 63.461×$63.46=$63.46

Which expression is equivalent to quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity?

A negative forty nine over 8 times d minus one tenth
B forty nine over eight times d minus one tenth
C negative three eighths times d minus one and three tenths
D negative three eighths times d minus one tenth

Answers

C is the correct answer...

A delivery person has two different delivery routes that he follows the first route is 20.75 miles long and the second is 30.25 miles long he travels each route 4 times a week after 7 weeks how many total miles has he traveled

Answers

Answer:

Step-by-step explanation:

20.75 miles x 4 = 83 miles

30.25 miles x 4 = 121 miles

Now take the 83 and multiply by 7 for the 7 weeks and multiply the 121 also by 7.

83 x 7 = 581

121 x 7 = 847

Now add the 581 miles with the 847 to get the total miles travelled.

581+847 = 1428 Miles

Answer: The delivery person travels 1428 miles

Decide which of the two given functions is
linear and find its equation
X 10 1 2 3 4
f(x) 6 10 14 18 22
g(x) 8 10 12 16 22

Answers

The function f(x) represents the linear relationship between f(x) and x because the slope remains constant.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope remains constant throughout the data.

Then the slope of the function f(x) at different stages is given as,

⇒ (14 - 10) / (2 - 1)

⇒ 4

⇒ (22 - 18) / (4 - 3)

⇒ 4

Then the slope of the function g(x) at different stages is given as,

⇒ (12- 10) / (2 - 1)

⇒ 2

⇒ (22 - 16) / (4 - 3)

⇒ 6

The function f(x) represents the linear relationship between f(x) and x because the slope remains constant.

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If Ð1 and Ð2 are complementary angles, and mÐ1 = 74!; "nd mÐ2.

Answers

Answer:

∠ D2 = 16°

Step-by-step explanation:

complementary angles sum to 90° , then

∠ D1 + ∠ D2 = 90°

74° + ∠ D2 = 90° ( subtract 74° from both sides )

∠ D2 = 16°

If two angles are complementary they add up to a total of 90 degrees.

So we know that

D1+D2=90, because the problem tells us they're complementary

Now, we know as well that D1 = 74, so we can plug it into the little equation and solve in terms of D2.

[tex]D1+D2=90[/tex]

[tex]74+D2=90[/tex]

[tex]D2=90-74[/tex]

[tex]D2=16[/tex]

hope it helps have a great time learning!

Find the coordinates of the midpoint M
C(3,-5)and D(7,9)

Answers

Answer:

(2,7)

Step-by-step explanation:

we use the midpoint formula:

(3+-5/2 , 7+9/2)

(4/2, 14/2)

(2,7)

Answer: M(5,2)

Step-by-step explanation:

C(3,-5)    D(7,9)   the midpoint M(x,y)=?

x₁=3       x₂=7     y₁=-5      y₂=9

[tex]\displaystyle\\M(x,y)=(\frac{3+7}{2} ,\frac{-5+9}{2})\\\\M(x,y)= (\frac{10}{2},\frac{4}{2})\\\\ M(x,y)=(5,2) \\\\Thus,\ M(5,2)[/tex]

Randy had $18.80 in his wallet. He spent $1.75 on a drink. How much does he have left? (a) Estimate the answer by rounding to the nearest whole numbers before subtracting (b) Will your estimate be high or low? Explain. (c) Find the difference. Show your work

Answers

a. My estimate of the answer by rounding to the nearest whole numbers before subtracting is $19.00 and $2.00

b. Given the difference of the estimate is 19-2= $17 and the difference of the original values is 18.80-1.75=-$17.05, then the estimate is low.

c. The difference of the estimate is $17

Calculations and Parameters

Given that:

Randy had $18.80 in his wallet.

He spent $1.75 on a drink

If we round $18.80 to the nearest whole number, it would be $19.00

Rounding off $1.75 to the nearest whole number, it would be $2.00

The difference of the estimate is 19-2= $17 and the difference of the original values is 18.80-1.75=-$17.05, then the estimate is low.

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Write, in slope-intercept-form, the inequality shown in the graph.
Two points which the boundary line intersects are shown.
-10

Answers

The slope intercept for is represented as y=mx+b. “m” being the slope and “b” being the y-intercept.

The slope intercept form for this graph is written as:
y=(5/4)x+10

1 Which of the following relations is a function?
L(-2, 3), (2, -3), (4, -2), (-3,4)}
II ((-2, 2), (4, 3), (-3, 3), (-2, 4)}
III. {(2, -3), (3, -4), (3, -3), (-4,4)}
IV. ((-4, 3), (-3, -3), (2, -3), (-2,-4)}
Help me

Answers

Answer: I and lV

Step-by-step explanation:


to find function just look at the x values if they repeat it’s not a function.

Analyze the diagram below and answer the question that follows.
Which statement describes the shaded region in the Venn diagram?

Answers

Answer:

A

Step-by-step explanation:

The shaded region represents the intersection of L and N.

LESSON 7.5 HELP PLEASE .
Find the missing side. Round to the nearest tenth.

Answers

By using trigonometric relations, we can see that the hypotenuse of the right triangle measures 30.8 units.

How to find the missing side on the right triangle?

Here we will need to use trigonometric relations. We want to find the value of x, which is the hypotenuse of the right triangle.

We know the measure of one angle, and the adjacent cathetus to said angle, the measures are:

angle = 65°

Cathetus = 13 units.

Now we can sue the trigonometric relation:

cos(a) = (adjacent cathetus)/(hypotenuse)

Replacing what we know, we can rewrite that as:

cos(65°) = 13/x

Now we just need to solve the equation for x, we will get:

x = 13/cos(65°) = 30.8 units.

We conclude that the hypotenuse of the right triangle measures 30.8 units.

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Find all of the points of the form (x,-1) which are 3 units from the point (-6, 1).
(x, y) =
(smaller x-value)
(x, y) =
(larger x-value)

Answers

Answer:

The values of x are -6 + √5 and -6 - √5.

Step-by-step explanation:

It is given that we need to find all of the points of the form (x,-1) which are 3 units from the point (-6, 1).

Now, let us suppose that these points are in 2D coordinate system such as;

=> (x1, y1) = (-6, -1)

and let us suppose that the other point is;

=> (x2, y2) = (x, 1)

Further, the distance between both these points them is 3 units and we can write this as;

=> d = √(x1 - x2)² + (y1 - y2)²

=> 3 = √(-6 - x)² + (-1 - 1)²

After squaring both the sides;

=> 9 = 36 + x² + 12x + 4

=> 9 = x² + 12x + 40

On rearranging the equation;

=> x² + 12x + 31 = 0

Now, this is a quadratic equation of the form ax² + bx + c = 0 in which;

=> x = -b ± √(b² - 4ac) / 2a

After putting values in this for obtaining the value of x on comparing we get;

=> x = -12 ± √(12² - 4×31) / 2

=> x = -12 ± √(144 - 124) / 2

=> x = -12 ± √20 / 2

=> x = -12 ± 2√5 / 2

=> x = 2(-6 ± √5) / 2

=> x = -6 ± √5

Therefore, the values of x are -6 + √5 and -6 - √5.

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Zendaya has $540 to spend at a bicycle store for some new gear
and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $269.88.
She buys 4 bicycle reflectors for $10.57 each and a pair of
bike gloves for $17.76.
She plans to spend some or all of the money she has left to
buy new biking outfits for $65.65 each.
Write and solve an inequality which can be used to determine
x, the number of outfits Zendaya can purchase while staying within her budget.

Answers

The inequality to determine the number of outfits Zendaya can purchase while staying within her budget is

     269.88 + 4*10.57 + 17.76 + 65.65x ≤ 540

And the number of outfits Zendaya can buy is 3 .

According to the question we have been given that the

 Total money Zendaya has = $540

  Cost of new bicycle = $269.88

   Cost of bicycle reflectors = $10.57

   Cost of bike gloves = $17.76

  Cost of biking outfits = $65.65

Let the number of outfits Zendaya purchases be x.

The inequality to determine the number of outfits Zendaya can purchase while staying within her budget is

     269.88 + 4*10.57 + 17.76 + 65.65x ≤ 540

Now solving this inequality for x we get

     269.88 + 42.28 + 17.76 + 65.65x = 540

    329.92 + 65.65x = 540

          65.65x = 210.08

              x = 3.2 ≈ 3

Thus number of outfits Zendaya can buy is 3

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POV: I don't trust most of the people on here to give me the correct answer, but... T^T

Answers

Answer:

650,000

Step-by-step explanation:

[tex]10^5=100000\\=100000\cdot \:6.5\\=650000[/tex]

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