Answer:
2√(17) or about 8.2462 units.
Step-by-step explanation:
We want to determine the distance between the two points (-10, -7) and (-8, 1).
We can use the distance formula. Recall that:
[tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Substitute and evaluate:
[tex]\displaystyle \begin{aligned} d &= \sqrt{((-10)-(-8))^2 + ((-7) - (1))^2} \\ \\ &=\sqrt{(-2)^2+(-8)^2} \\ \\ &= \sqrt{(4) + (64)} \\ \\ &= \sqrt{68}\\ \\ &= 2\sqrt{17}\end{aligned}[/tex]
Hence, the distance between (-10, -7) and (-8, 1) is 2√(17) units or about 8.2462 units.
[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]
Question :-
Calculate the straight line distance between the points (-10, -7) and (-8, 1).Answer :-
The straght line distance between the two points is 8.2462 units.[tex] \rule{200pt}{3pt}[/tex]
Solution :-
As per the provided information in the given question, we have been given that:
[tex](x_1, y_1) = (-10, -7)[/tex][tex](x_2, y_2) = (-8, 1)[/tex]To calculate the distance between the two points, we will apply the formula below:
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \: \: }}[/tex]
Substitute the given values into the above formula and solve for d:
[tex]\sf:\implies{ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}[/tex]
[tex]\sf:\implies{d = \sqrt{[-8 - (-10)]^2 + [1 - (-7)]^2}}[/tex]
[tex]\sf:\implies{d = \sqrt{(2)^2 + (8)^2}}[/tex]
[tex]\sf:\implies{d = \sqrt{4 + 64}}[/tex]
[tex]\sf:\implies\bold{d = \sqrt{68} \approx 8.2462 \: units}[/tex]
Therefore :-
The straght line distance between the two points is 8.2462 units.[tex]\\[/tex]
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Have a great day! <33
Thank you in advance.
Answer:
Yes this statement is true because 0/3 is 0
Answer:
False.
Step-by-step explanation:
x = 0 would be the only solution to make the statement true. Anything other than x = 0 will make the statement false.
Ryan has 21 pencils. He wants to put the same number of pencils in each of 3 pencil holders. How many pencils will he put in each pencil holder
21 divided by 3 equals 7
7 pencils in each holder
:]
Ryan will put 7 pencils in each pencil holder.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in "m" in different ways and if following it, a second event can occur in "n" ways; then the two events in succession can occur in m × n ways.
Given that Ryan has 21 pencils, wants to put the same number of pencils in each of the 3 pencil holders.
Pencil = 21
Pencil holder = 3
Therefore, we will do as 21 divided by 3
21/3 = 7
Hence, there are 7 pencils in each pencil holder.
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Picture provided above please help if can !
Answer:
10.1
Step-by-step explanation:
I just put in a calculator and got the answer.
how dose the maping diagram of a function differ from a mapping diagram of a function
Answer:
A function assigns only output to each input. A mapping diagram can be used to represent a relationship between input values and output values. ... A mapping diagram represents a function if each input value is paired with only one output value.
solve the inequality 4x-18<_6x-16
Answer:
B is the answer
Step-by-step explanation:
4x - 18 <= 6x - 16
4x - 6x <= -16 + 18
-2x <= 2
-x <= 1
x >= -1
Pleas help me and show me the answer
thx;)
Answer:
5 shirt
Step-by-step explanation:
30.60÷6.12=5
So, 5 shirts are returned.
On a number line what is the distance between 16 and -25
how do you write 9/11 as a decimal
Answer:
0.81
Step-by-step explanation:
Answer:
0.81818181818181....
Step-by-step explanation:
It is irrational
Please help me answer this question
Answer:
Step-by-step explanation:
ten students are chosen from a statistics class of 300 let x be the number who got an a in the class
If it takes a fourth of a cup of oil to make 10 cookies, how much oil would it take to make 50 cookies? ?
Answer:
5/4 or 1 1/4 cup of oil
Step-by-step explanation:
Let's make a ratio. 1/4:10. We need to multiply 10 by 5 to get 50 cookies and do the same on the other side of the ratio. 1/4x5=5/4 or 1 1/4 and 10x5 is 50. So our final ratio would be 5/4:50. Hope this helped.
What is the 9th term of the geometric sequence with this explicit formula?
an= 4.(-2)(n-1)
A. -64
B. 1024
C. -2048
D. -1024
Algebra 1
Answer: B: 1024
Step-by-step explanation:
[tex]a_n=4*(-2)^{n-1}\\\\a_9=4*(-2)^{9-1}\\\\=4*(-2)^8\\\\=4*256\\\\=1024\\\\Answer\ B\\[/tex]
Find the value of ab when a =
9/11
and b =
7/10
The answer is
(Simplify your answer.)
a= 9/11 and b=7/10
now,
ab = (9/11)×(7/10)
=63/110.......
the value of ab is 63/110 when a = 9/11 and b = 7/10
What is Simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given, the values of a and b are 9/11 and 7/10 respectively
thus,
ab = 9/11 * 7/10
simplifying it
ab = 63/110
Therefore, the value of ab is 63/110 when a = 9/11 and b = 7/10
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plzzzz I need help
Name the geometric term(s) modeled by each object. 16. 17. 18. 19. a tablecloth 20. a partially-opened newspaper 22. a knot in a string 21. woven threads in a piece of cloth Draw and label a figure for each relationship. 23. Line AB intersects plane Q at W. 24. Point T lies on WR. 25. Points Z(4,2), R(-4, 2), and S are collinear, but points Q, Z, R, and S are not. 26. The coordinates for points C and R are (-1, 4) and (6,4), respectively. RS and CD intersect at P(3,2). Lesson 1-1 Points, Lines, and Planes 9
Geometric terms are terms used for describing geometric objects
The correct responses for the geometric term modeled by each object are as follows:
16. The geometric term modelled by the tip of the needle is a point
17. The figure modelled by he rail track are lines including; Parallel lines and intersecting lines
18. The figure modelled by the cloth is a plane with points
19. A table cloth models a plane
20. A partially opened newspaper models an angle, and two planes intersecting
21. Woven threads in a piece of cloth models intersecting lines
22.A knot in a string models a point on a line
Required:
To draw and model a figure for each relationship
Solution:
23. The required drawing of the model of line AB intersecting at Q and W is attached
24. The required drawing of the model of point T that lies on [tex]\overset \longleftrightarrow {WR}[/tex] is attached
25. The required drawing of the model of point Z(4, 2), R(-4, 2), and collinear point S, with Q, Z, R, and S are not, is attached
26. The given coordinates are; C(-1, 4) and R(6, 4). The point P(3, 2) is the intersection of the lines [tex]\overset \longleftrightarrow {RS}[/tex] and [tex]\overset \longleftrightarrow {CD}[/tex]
The required drawing is attached
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In one state lottery game, you must select four digits. hOW MANY NUMBERS MAY BE CHOSEN
three candidates sat for mathematics examination and their probabilities of passing are 4/5,3/5 and 2/5.find the probability that at least one passed?
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Monico invests $9,000 at 2% simple interest for 1 year. How much is in the account at the end of the 1 year period ?
Answer:
9180
Step-by-step explanation:
9000*1.02
Answer:
There will be $8820 in Monico's account at the end of the one year period.
Step-by-step explanation:
9000*0.02 = 180
9000 - 180 = 8820
Have a nice day! :-)
How many trucks will pass Luann if 90 vehicles passed her??
Answer:
90????
Step-by-step explanation:
is this a tongue twister or what??
Help thank you
Which ordered pair is a solution to the system of inequalities?
{y>−2x+y<4
(−3, 5)
(0, 4)
(−2, −3)
(1, 3)
Answer:
(1,3)
Step-by-step explanation:
3 > -2(1)+ 3 < 4
3 > -2 + 3 < 4
3 > 1 < 4
I need help getting the equation
Answer:
2.5v + 85
v = 12
Step-by-step explanation:
115 - 85 = 30
30 / 2.5 = 12 (He needs to go 12 times)
plzzzzzzzzz helppppp
Answer:
The second and third boxes. m=-10/4 & -5/2 & the last one
Step-by-step explanation:
We know the answer is negative so we need to add a larger number to get the 3/4 to the negatives. 3-10= -7, so -10/4 and -5/2 is equal to -10/4
Answer:
The second one m= -10/4, the third one m= -5/2, and the last one -5/4+m= -15/4
Step-by-step explanation:
You find m by solving -7/4 - 3/4 = m. Thats the second option -10/4.
When you simplify, you get -5/2, the third option.
Finally, -5/4+m= -15/4 is equal to -15/4 -(-5/4)=m. Subract and you get -10/4. That makes the original equation equal to the last option.
Lawrence's check at Fresh Catchery is $23.09. In order to leave a 13% tip, how much should he pay? Round to the nearest cent.
Answer:3
Step-by-step explanation: 23.09 * 0.13 =3 rounded up
Classify each number as rational or irrational and explain.
Error Occurred.. ⎯⎯⎯⎯√square root of 25 ⎯.⎯⎯ ⎯⎯√square root of 2 7,548,123
Step-by-step explanation:
√25 is 5 Rational Number.√27 is Irrational number.√548 is Irrational number.√123 is Irrational number.Choose the function whose graph is given by:
у
AAAAA
ht
O A. y= cos(2x)
O B. y= cos()
O c. y = cos(4x)
O D. y= cos(54)
SUBMIT
Please help
Answer:
D cos (1/2 x )
Step-by-step explanation:
y = cos (x/2)
because from the graph x = 2pie
= cos pie = -1
The function whose graph is given by; cos (1/2 x )
What is graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, the function must be having increasingly output for inputs greater than that value of x.
If the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
The function that we are given graphed has the point (0,1), this means whichever function f(x) it represents f(0) = 1.
Now, only the cosine function has the property that cos(π) = -1, thus
y = cos (x/2)
because from the graph x = 2π
The function whose graph is given by; cos (1/2 x )
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Sharon ran 140 meters directly toward school at a constant velocity. She ran that distance in 25 seconds. What was her velocity?
Answer:
5.6 meters/secondsStep-by-step explanation:
140 : 25 = 5.6 meters/seconds
#AyoBelajarFind the slope of the line.
x= 4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope is m = (Type an integer or a simplified fraction.)
OB. The slope is undefined.
(Answer quickly)
Answer:
B
Step-by-step explanation:
x = 4 is a vertical line parallel to the y- axis with an undefined slope
Determine what value(s) for the variable would make each algebraic
equation a true number sentence.
�2 = 81 is true for ____________________.
6� = 3� + 2� + � is true for ____________________.
� + 74 = � − 74 is true for ____________________.
Answer:
k calculate it how u see it
describe impulse buying
Answer:
impulse bullying.
Step-by-step explanation:
Impulse bullying is like he is less likely to be a gang member. His bullying is more impulsive and may appear to be more random. Even when authorities are likely to impose penalties, he finds it impossible to prevent himself from engaging in the activity. He might be suffering from ADHD. Medication, behavioral therapy, and social skills training may help him. He will also most likely be bullied.
PLEASE HELP!!! Find the distance between the following two points: (3,7) and (5,0). Round to the nearest TENTH.
Step-by-step explanation:
7.3 when rounded to the nearest tenth
2^-5/-4^3
with work please
9514 1404 393
Answer:
-1/2048
Step-by-step explanation:
The Order of Operations tells you to evaluate each of the exponential expressions first. Then you do the division.
= (1/32) / (-64)
= -1/(32·64) = -1/2048
__
You can also rewrite the expression in terms of powers of 2.
2^-5/-4^3 = -1/((2^5)(2^2)^3) = -1/(2^5×2^6) = -1/2^11
= -1/2048
_____
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
4 = 2^2
2^5 = 32
4^3 = 64
Annie borrowed $354 from her parents to buy a tablet. She plans to pay the money in 2 equal payments per month for the next 12 months. How much will each payment be?
Answer:
$354 divided by 12 equal payments equals $29.50 per month
Step-by-step explanation:
$354 divided by 12 months (also 12 equal payments) = $29.50 per month.
