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]
Learn more about the distance formula at https://brainly.com/question/25841655
Have a great day! <33
-4 + 7 = 11 solve this equation
Answer:
Add
-4 and 7.
3=11
Step-by-step explanation:
:)
A 6-foot board is cut into two pieces. If one piece is x feet long, express the other length in terms of x.
Answer:
6 – x ft
Step-by-step explanation:
If a 6-foot board is cut in two pieces, both lengths could be anything that add up to 6 feet since the problem did not specify where the board was cut.
So if one piece is x feet long, the other must be 6 - x feet long because:
x + (6 – x) = 6
How much he makes in 1 hour.
Answer: $14.5
Step-by-step explanation:
What happened to the comments?
Answer: I dont know what you mean by that.
Step-by-step explanation:
Face book comments can disappear for one of two reasons: the person who posted the comment on a post deleted it or the person who owns the original post deleted the comment because they didn't like it. From a business perspective, it may make sense to delete comments for many reasons.
Please explain how to solve this problem
A motorboat can maintain a constant speed of 45 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 34 minutes; the return trip takes 26 minutes. What is the speed of the current?
The speed of the current is _ mile(s) per hour.
Answer: Distance upstream = (34-c)(39/60) miles
--------------------------
Distance downstream = (34+c)(29/60) miles
-----------------------------------------------
Equation:
distance = rate*time
distance up = distance down
(34-c)(39/60) = (34+c)(29/60)
Multiply both sides by 60 to get:
39(34-c) = 29(34+c)
39*34 - 39c = 29*34 + 29c
68c = 340
c = 5 mph (speed of the current)Step-by-step explanation: I'm not sure if this will help you but I hope it does!
Rewrite the expression without an exponent or radical.
625-1/4
Answer: its probably 5
Step-by-step explanation:
simplify the fraction= [tex]5^\\{4[/tex] ([tex]\frac{1}{4\\}[/tex]). Then cancel the common factor of 4= [tex]5^{1}[/tex], then evaluate the exponent = 5
The annual rent of a room in Kathmandu is 60000. Find the rent of five months.
The annual rent of a room in Kathmandu is 60000. Find the rent of five months.
Solution:-Given,
Annual rent in Kathmandu = 60000
Now,
→ Rent for five months = 5×60000
= 300000
Answer:-The rent for five months in Kathmandu is 300000.
Please help
h(x)
3x2 - 2x + 13
h(3) = [?]
Be sure to simplify your answer,
[tex]f(x)=3x^2-2x+13\\\\f(3)=3\cdot3^2-2\cdot3+13=3\cdot9-6+13=27+7=\boxed{34}[/tex]
Which rational number is closest to zero 45/17 90/19 63/10 171/112 85/18
9514 1404 393
Answer:
171/112
Step-by-step explanation:
It can be helpful to write these as mixed numbers.
45/17 = 2 11/17
90/19 = 4 14/19
63/10 = 6 3/10
171/112 = 1 59/112
85/18 = 4 13/18
Then the ordering would be ...
0 < 1 59/112 < 2 11/17 < 4 13/18 < 4 14/19 < 6 3/10
The number closest to zero is 1 59/112 = 171/112.
Simplify the expression.
- (m
m + 3n - 13)
Answer:
[tex] = - {m}^{2} - 3n + 13[/tex]
Step-by-step explanation:
[tex] - (m \times m + 3n - 13)[/tex]
[tex]m \times m = {m}^{1} \times m[/tex]
[tex] {m}^{1} \times {m}^{1} = {m}^{1 + 1} = {m}^{2} [/tex]
[tex] - ( {m}^{2} + 3n - 13)[/tex]
[tex] = - {m}^{2} - 3n + 13[/tex]
helpppppppppppppppppppppp
Answer:
x is neg and y is positive so the answer is x < 0 and y > 0
PLEASE HELP!!!! FAST!!!!!!!
What are the steps to....:
(8 − 10)² − 30 ÷ 5 × 6 + 2
Answer:
(8 − 10)² − 30 ÷ 5 × 6 + 2
=(-2)² -(6*6)+2=4-36+2=-30
Answer:
-30 is the answer
Step-by-step explanation:
(8 − 10)² − 30 ÷ 5 × 6 + 2
= (-2)² − 30 ÷ 5 × 6 + 2
= 4 - 30 ÷ 5 × 6 + 2
= 4 - 6 × 6 + 2
= 4 - 36 + 2
= 6 - 36
= -30
Thank you for your time
Answer:
m∠5= 130°
Explanation:
If lines A and B are parallel we can assume that the angles in the same locations are equal
Answer:
130 is the answer
Step-by-step explanation:
Well it's definitely obtuse (look at the photo)
I hope I helped!
I hope you get the green tick.
Please mark Brainliest if you do!
2c-3w=k-3 solve for c
let's solve for c :
[tex] \hookrightarrow \: 2c - 3w = k - 3[/tex]
[tex] \hookrightarrow \: 2c = k - 3 + 3w[/tex]
[tex] \hookrightarrow \: c = \dfrac{k + 3w - 3}{2} [/tex]
Answer:
4k=-5c
5divided by 4=0.1
c=0.1
Write a rule for the piecewise function.
Please help as soon as possible!!! Only serious answers
The blue line has slope +1 and passes through the point (-3, 0). Using the point-slope formula, its equation would be
y - 0 = 1 (x - (-3))
or
y = x + 3
and so f(x) is defined by x + 3 for x ≤ 0.
The red line is horizontal for 0 < x < 3, so f(x) has a constant value of 1 for this interval. We use a strict inequality because the points (0, 1) and (3, 1) are unfilled circles.
The black (?) line has slope -1 and passes through (3, 0), so its equation is
y - 0 = -1 (x - 3)
or
y = -x + 3
so f(x) is defined by -x + 3 for x ≥ 3.
Putting everything together,
[tex]f(x) = \begin{cases}x+3&\text{if }x\le0\\1&\text{if }0<x<3\\-x+3&\text{if }x\ge3\end{cases}[/tex]
Help me !? I don’t understand this equation
Answer: 1024
Step-by-step explanation: 2^13/2^3 8192/8 1024
The answer to #7 part A and part B
part A
i. five hundred thousand
ii. one hundred thousand
iii.three hundred
iv. ten thousand
Part B
answer B
Determine whether (2,6) is a solution of y = 19x + 10.
Answer:
yes, i think
Step-by-step explanation:
Walter car gets 41 miles per gallon. Walter is planning a vacation which is 372 miles away. How many gallons of gas will Walter use for this round trip?
A fruit seller buys some oranges at the rate of ₹ 5 per orange. He also buys an equal number of bananas at the rate of ₹ 2 per banana. He makes a profit of 20% on oranges and a profit of 15% on bananas. In the end, he sold all the fruits. If he earned a profit of ₹ 390, find the number of oranges.
Hello what's your name?
Find the value of x
Answer:
x = 10
Step-by-step explanation:
since two of its given angles are equivalent we can conclude that the triangle is a an isosceles triangle and the side length that belong to those angles are also equal so x = 10
Using the quadratic formula, which of the following are the zeros of the
quadratic equation below?
y = x2 - X-5
A. x = 11/19
O B. x149
O C. x-lt
2
o D. x=-11/21
O
Answer:
y=x2-X-5 is zero of quadratic equation
a community center is trying to raise $1680 to purchase exercise equipment. the center is hoping to receive equal contributions from members of the community. write and algebraic expression to determine how much will be needed from each person if n people contribute. Then evaluate the expression for 10, 12, 14, or 16 people.
Lets find f(n) formula
[tex]\boxed{\sf f(n)=\dfrac{1680}{n}}[/tex]
Now
[tex]\\ \sf\longmapsto f(10)=\dfrac{1680}{10}=168[/tex]
[tex]\\ \sf\longmapsto f(12)=\dfrac{1680}{12}=140[/tex]
[tex]\\ \sf\longmapsto f(16)=\dfrac{1680}{16}=105[/tex]
[tex]\\ \sf\longmapsto f(14)=\dfrac{1680}{14}=120[/tex]
Find the total surface area of this cone leave your answer in terms of pi. 12in 15in
Your bill for lunch was $54.70. The service was very good so you decide to tip the server 20%. You do not have anything with you to help you calculate the tip. How much would you estimate is a 20% tip on a bill of $ 54.70?
Answer:
$11
Step-by-step explanation:
20% is fifth part of 100%
$54.70 ÷ 5 ≈ $55 ÷ 5 = $11
Here are the amounts of money (cents) in coins carried by 10 students in a statistics class:
50350977600872365
To make a stemplot of these data, you would use stems
A. 0, 1,2,3, 4, 5, 6,7,8, 9.
B. 00, 10, 20, 30, 40, 50, 60, 70, 80, 90.
C.0, 2, 3, 5, 6, 7, 8, 9.
D. None of the above.
The stems are 0, 2, 3, 5, 6, 7, 8, 9. Therefore, option C is the correct answer.
Given that, here are the amounts of money (cents) in coins carried by 10 students in a statistics class: 50, 35, 0, 97, 76, 0, 0, 87, 23, 65.
We have to plot a stemplot for this data.
What are stem plots?A stem and leaf plot also called a stem and leaf diagram is a way of organizing data into a form that makes it easy to observe the frequency of different types of values. It is a graph that shows numerical data arranged in order. Each data value is broken into a stem and a leaf.
A stem and leaf plot is represented in form of a special table where each first digit or digit of data value is split into a stem and the last digit of data in a leaf. This " | " symbol is used to show stem values and leaf values and it is called as stem and leaf plot key.
Now, 0, 0, 0, 23, 35, 50, 65, 76, 87, 97.
As the stem and leaf plot definition states,
2 I 3 ⇒ 2 on the stem and 3 on the leaf read as 23.
3 I 5 ⇒ 3 on the stem and 5 on the leaf read as 35.
5 I 0 ⇒ 5 on the stem and 0 on the leaf read as 50.
6 I 5 ⇒ 6 on the stem and 5 on the leaf read as 65.
7 I 6 ⇒ 7 on the stem and 6 on the leaf read as 76.
8 I 7 ⇒ 8 on the stem and 7 on the leaf read as 87.
9 I 7 ⇒ 9 on the stem and 7 on the leaf read as 97.
The stems are 0, 2, 3, 5, 6, 7, 8, 9. Therefore, option C is the correct answer.
To learn more about the stem plot visit:
https://brainly.com/question/12857419.
#SPJ2
pls help
What is the prime factorization of 80?
O 2 * 2 * 2 * 2 x 5
O 2 * 2 * 2 x 3 x 5
O 2x2 3 5
O2 x 2 x 2 x 5
9514 1404 393
Answer:
(a) 2 * 2 * 2 * 2 x 5
Step-by-step explanation:
80 = 16×5 = 2⁴×5 = 2·2·2·2×5
A side of square B is four times the length of a side of square A. How many times greater is the area of square B than the area of square A?
Answer:
16 times
Step-by-step explanation:
Area is 2D so you have to square the side length.
Solve T = M(7 + FG) for F
F =
(Answer quickly)
Answer:
F = (T - 7M) ÷ MG
Step-by-step explanation:
T = M(7 + FG)
T = 7M + MFG
T - 7M = MFG
(T - 7M) ÷ MG = F
F = (T - 7M) ÷ MG
Answer:
Step-by-step explanation:
Remove the brackets
T = 7M + FGM Subtract 7M from both sides
T - 7M = FGM Divide both sides by GM
T - 7M
====== = F
GM
F = (T - 7M)/GM
Which phrase does not describe a rational number? a) integer number b) repeating decimal c) terminating decimal d) non-repeating, non terminating decimal
Step-by-step explanation:
d)
that is the pure definition of an irrational number
