Find the length of segment QA when Q(-7,10) and A(3,4).

Answers

Answer 1

Answer:

The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units

Step-by-step explanation:

Given points are:

Q(-7,10) and A(3,4)

Here

[tex](x_1,y_1) = (-7,10)\\(x_2,y_2) =(3,4)[/tex]

The distance between two points is the length of the segment formed by those two points. The distance between 2 points is given by:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Putting the values

[tex]d = \sqrt{(3-(-7))^2+(4-10)^2}\\d = \sqrt{(3+7)^2+(-6)^2}\\d = \sqrt{(10)^2+(-6)^2}\\d = \sqrt{100+36}\\d = \sqrt{136}\\d= 11.66\ units[/tex]

Hence,

The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units


Related Questions

Find the dimensions of a rectangle with area 729000 m2 whose perimeter is as small as possible. (Give your answers in increasing order, to the nearest meter.)

Answers

Step-by-step explanation:

Area of a rectangle = Length * Width

A = LW

729000 =  LW .... 1

Perimeter of a rectangle P = 2L+2W

P = 2L+2W

From 1;

W = 729000/L

P = 2L + 2(729000/L)

P = 2L + 1458000/L

To minimize the perimeter, dP/dL = 0

dP/dL = 2 -  1458000/L²

2 -  1458000/L² = 0

2L² - 1458000 = 0

2L² = 1458000

L² = 729000

L = √729000

Length = 853.8m

W = A/L

Width = 729000/853.8

Width = 853.8

Hence the dimension to the nearest meter is 854m by 854m

a. Identify at least three cases in your daily life/work where the analytics could be applied.
b. Choose one of the cases and describe how you will approach the problem. For example, you can start from where/how you collect data, how to use the data, what kind of problem can be solved, and etc.

Answers

Explanation:

Remember, the term analytics (or data analytics) refers to the act of carefully examining raw data in other to observe if there are any trends.

a) The following are three cases in our daily life/work where analytics could be applied:

analyzing changes in cell phone charges based on call durationanalyzing changes in our sleeping pattern based on hours spent on electronic gadgetsanalyzing changes in train ticket sales based on the time of the day.

b) For example, to analyze changes in my sleeping patterns based on hours spent on electronic gadgets, I need to first know

how many hours of sleep do I have every day in a particular period of time,how many hours have I spent on electronic gadgets daily for a period of time,Next, I need to answer based on the data; Is the amount of hours I sleep lower than expected? or Do I spend more time on electronic gadgets than sleep?

How would you describe the relationship between the real zero(s) and x-intercept(s) of the function
f(x) =
3x(x - 1)
x2(x+3)(x + 1)
When you set the function equal to zero, the solution is x = 1; therefore, the graph has an x-intercept of (1,0).
O When you set the function equal to zero, the solutions are x = 0 or x = 1; therefore, the graph has x-intercepts at
(0, 0) and (1,0).
O When you substitute x = 0 into the function, there is no solution, therefore, the graph will not have any X-
intercepts.
Since there are asymptotes at x = -3, x = -1, and x = 0, the graph has no x-intercepts and therefore, no real
zeros.

Answers

The description of the relationship between the real zero(s) and x-intercept(s) of the function should be option A.

Relationship between the real zero(s) and x-intercept(s) of the function:

Since it is given that

f(x) = 3x(x - 1)

x2(x+3)(x + 1)

Also, the function should be set out and equivalent to zero when x = 1

and, the graph should have an x-intercept of (1,0).

Therefore, the option A is correct.

learn more about function here: https://brainly.com/question/19995674

Answer:

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Step-by-step explanation:

Faith spent $78 at Fashion Warehouse. She bought 2 shirts that each cost $17.50 and a pair of shoes. How much did she spend for shoes?
Answers Choices
A. 34.00
B. 60.50
C. 43.00
D. 113.00

Answers

Answer:

C. 43.00

Step-by-step explanation:

If we add up the amount she paid for shirts we would get 35, then we subtract 78 by 35 to get our answer.

(01.01 MC)Why is 2 + (−3) equal to −1? Because it is 3 units to the left of 2 on a horizontal number line Because it is 3 units to the right of 0 on a horizontal number line Because it is 3 units to the left of 0 on a horizontal number line Because it is 3 units to the right of 2 on a horizontal number line

Answers

Answer:

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

Given

[tex]2 + (-3) = -1[/tex]

Required

Why?

The interpretation of the question is that:

[tex]2 + (-3) = -1[/tex]

What is the result when 2 is shifted 3 units in the negative direction (i.e. towards the left)?

First, we have a horizontal to have the the following representation:

<.....-4   -3   -2   -1   0   1    2   3   4   5 ......>

Taking the positions of 2 and -1 into consideration,

<.....-4   -3   -2   -1   0   1    2   3   4   5 ......>

We can see that the distance between 2 and -1 is 3 units towards the left

In other words, -1 is 3 units from 2 in the left direction

Hence, option A answers the question

Answer:

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

An office building has 66000 of net income and sold for 550000. What is the rate of return

Answers

Answer:

The rate of return will be: 12%

Step-by-step explanation:

Given

Net income = 66000

As the building was sold for 550000

Market value = 550,000

Return can be calculated by dividing the market value by the net income using the formula

Return = Net income / Market value

           = 66000 / 550,000

           = 0.12  which is 12%

Therefore, the rate of return will be: 12%

To rent a certain meeting room, a college charges a reservation fee of $36 and an additional fee of $5.60 per hour. The film club wants to spend at most $58.40
on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for 1.

Answers

Answer:

t≤4

Step-by-step explanation:

58.40≥36+5.60t  

Solve like any equation

58.40≥36+5.60t  subtract 36 from both sides

22.40≥5.60t  divide by 5.60

t≤4

Anna is x years old and her sister, Jane is y years younger
What was the sum of their ages two years ago?
What will be the sum of their ages in 3 years?
How old was anna when Jane was born?

Answers

Answer:

Age of Anna = x years

Age of Jane i.e. Anna's sister = (x-y) years

a, What was the sum of their ages two years ago?

Solution,

Age of Anna two years ago = (x-2) years

Age of Jane two years ago = (x-y-2) years

Sum of their ages = x - 2 + x-y-2 = 2x - y -4

b. What will be the sum of their ages in 3 years?

Solution,

We have,

Present age of Anna = x years

Present age of Jane = (x-y) years

So,

Age of Anna after 3 years = (x+3) years

Age of Jane after 3 years = (x-y+3) years

Therefore,

Sum of their ages in 3 years = (x+3) +(x-y+3) = 2x - y+6

c. How old was Anna when Jane was born?

Solution,

Here,

According to question,

Jane is y years younger than Anna

So, Anna was y years when Jane was born.

[Suppose your age is 10 years and your brothers age is 14 years. You are 4 years younger than your brother. Also, his age was 4 years when you were born.]

will give Crown help Idk what this is1+1=?

Answers

Answer:

1+1=2

Step-by-step explanation:

1 as a single number plus another 1 as a single number is 2. like this:+=.

I am kind of stuck on this question could someone explain and answer this question I would really appreciate it :)

Answers

Answer:

First one

Step-by-step explanation:

Supplementary angles basically means which angles added together equals 180 degrees, 180 degrees is also a straight line.

So the answer would be the first one because both the angles added together is 180.

It’s the first one>>>40°+140°<<< because supplementary angles are two angles that should add up to 180° because 180°is the degree of a straight line. And the only one that adds up to 180 is the first one. Hope this helps!

Solve the quadratic equation numerically (using tables of x- and y- values). x(x + 3) = 0 a. x = -1 or x = 3 c. x = 0 or x = -3 b. x = 0 or x = -5 d. x =1 or x = -1

Answers

Answer:

Step-by-step explanation:

x = 0

x+3 = 0

x = -3

The answer is x could be 0 or -3

Answer:

c on edge

Step-by-step explanation:

You find a shirt that costs 24.67 for some clothes. To get ready for Black Friday there was a discount, and the discount was 32%. How much does it cost?

Made up question :D !!!

Answers

Answer:16.78

Step-by-step explanation:

What is the product of 7×-6 1/8

Answers

Answer:

-42.875 or -42 7/8

Step-by-step explanation:

you can turn -6 1/8 into a decimal: -6.125 and multiply it with 7.

The product of the fraction 7 x -(6 1/8) is -42.875 or in fraction form -42 7/8.

We have expression: 7 x -(6 1/8).

First, write the mixed fraction into improper fraction as

Numerator = 8 x 6 + 1 = 49

Denominator = 8

Now, the product will be

7 x -(6 1/8)

= 7 x (-49/8)

= 7 x (-6.125)

= -42.875

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ6

solve 1,000x10 hint: use a strategy

Answers

Answer:

10000

Step-by-step explanation:

Answer:

10,000

Step-by-step explanation:

You just take the 0's and then you mutiply 1x1 and the answer you add the cero's you left  the one from the number 10 and allso the ones from 1000

The table shows the highest and lowest golf scores for your cousin and your friend over the summer. Find the ranges of golf scores for your cousin and your friend. Who has the greater range of scores?

highest +6, +3
lowest -2, -3

Answers

Answer:

Cousin has a greater range of score.

Step-by-step explanation:

Range = Highest No. - Lowest No.

Range of cousin's score = +6 - (-2)

                                        = +6+2 = 8

Range of friend's score = -2 - (-3)

                                       = -2 + 3  = 1

Cousin has a greater range of score.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

A car and a truck leave the same intersection, the truck heading north at 60 mph and the car heading west at 55 mph. At what rate is the distance between the car and the truck changing when the car and the truck are 30 miles and 40 miles from the intersection, respectively?

Answers

Answer: -81

Step-by-step explanation:

Let x = the car moving towards west = 30

Let y = truck moving towards north = 40

dx/dt = -55

dy/dt = -60

We the use Pythagoras theorem to solve further where,

s² = x² + y²

s² = 30² + 40²

s² = 900 + 1600

s² = 2500

s =✓2500

s = 50

We then differentiate with respect to t, then we will have:

s² = x² + y²

2s ds/dt = 2x ds/dt + 2y dy/dt

50 ds/dt = (30 × -55) + (40 × -60)

50 ds/dt = -1650 - 2400

50 ds/dt = - 4050

ds/dt = -4050/50

ds/dt = -81

help plz idk okhehehehehe​

Answers

That is the answer for the first one

Please answer! I will give brainliest to the correct answers.

Answers

Answer:

(n+10)+9

{(n+10)+9}/2

[{(n+10)+9}/2]-5

All you have to do is follow the steps!

Think of a number - n

Add 10 - n + 10

Add the number you were thinking of - n + 10 + n

Divide by 2 - (n + 10 + n) / 2

Subtract 5 - ((n + 10 + n) / 2) -5

It may look hard, but its not as hard as you think. All you need to do is follow the steps!

Find the area of the triangle 8 cm 15 cm

Answers

Answer:

60 cm squared

Step-by-step explanation:

area of a triangle is [tex]\frac{bh}{2}[/tex]

base and height are interchangable; 8 cm and 15 cm

[tex]\frac{8(15)}{2}[/tex]

[tex]\frac{120}{2}[/tex]

60

a crew of highway workers paved 2/15 mile in 20 min​

Answers

Answer: 6/15=2/5 of a miles

15. Harold learned that 6 out of 10 students at his school live within two miles of the school. If 240 students attend Grade 6 at his school, about how many of these students should Harold expect to live within two miles of the school? A 24 ® 40 © 144, 180​

Answers

Answer:

144

Step-by-step explanation:

Write a equation(or whatever it is called)

6/10=x/240Cross multiply, 1440=10xDivide, 144=x

Check your work:

6/10=144/240Cross multiply, 1440=1440

Geometry please help

Answers

VXW is 68 degrees

You can use the alternate interior angles theorem to put XVW as 52 degrees and then add 52 and 60 up and subtract from 180 since every triangle has 180 degrees

which rational number is negative?

Answers

Answer:

-1/6, 2/-7, 30/11, 13/-19 and -15/23 are negative rationals

Help pleaseeeeeeeeeeeeeeeee

Answers

Answer:  0.92 feet (choice B)

You're close but not quite there. To get the answer, you divide 29.44 over 32

If you had 32 feet of banner and 32 students, then each student would get 32/32 = 1 foot. Since the length of the banner is smaller than the number of students, this means each student only gets a fraction of a foot. This fraction value is fairly close to 1 because 29.44 is close to 32.

Answer:

B: 0.92

Step-by-step explanation:

Divide the banner length by the amount of students

[tex]\frac{29.44}{32}[/tex]

what should be added to 7 3/5 to get 18 (Step explanation )​

Answers

Plz mark it brainliest if it is useful for u

16.9 and 1.7 and 0.17 and 2.0 round to nearest tenth

Answers

Answer:

21

Step-by-step explanation:

I believe this because when you add it all together you get 20.77

The sum of 56x2 and 56x2 is 56x______?

Answers

Answer:

56x4

Step-by-step explanation:

56x2= 112 so since you have 56x2 twice you want to add 112+112 to get 224 now what you wanna do is to divide 56 from 224 and your answer will be 4 so you can say 56x4

Which is the equation of a line that has a slope of 1/2 and passes through point (2, -3) ?​

Answers

Slope form: y = mx + b
mx = 1/2x
y = 1/2x + b
Plug in points to find b
-3 = 1/2(2) + b
-3 = 1 + b
b = -4
Final equation: y = 1/2x - 4

What agreement did Britain and the United States make in the Treaty of 1818?
joint control of the Oregon Country for ten years
joint control of West Florida for ten years
O joint control of fishing rights off Canada for ten years
O joint control of Latin America

Answers

Answer:

A

Step-by-step explanation:

Unit Test on a Edge today. ; )

Answer:

its A

Step-by-step explanation:

i got a 100  on my quiz

Francisco makes $11 per hour doing part time work on Saturdays. He spends $3 on transportation to and from work. The equation y = 11x - 3 gives his earnings y, after transportation costs, for working x hours. Complete the table of values for this situation.
x=2
x=3
x=4
x=5

Answers

Answer:

x=4

Step-by-step explanation:

You want to plug each x value into the equation to complete the table of values. The x variable represents how many hours he worked

y=11(2)-3=19
y=11(3)-3=30
y=11(4)-3=41
y=11(5)-3=52

Hope this helps!
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What is the unit rate for the cereal when it is 3/$10?A $3/boxB $3.30/boxC $3.33/boxD $3.67/box PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!compare and contrast the strength of the forces between two objects with a mass of 1 kg each, a charge of 1 C, and at a distance of 1 m from each other. PLEASE HELP!!! I NEED HELPPPPP!!! I HAVE 5 MINUTES TO DO THIS!!!!!