We know, distance between two points A( p,q) and B(r,s) is given by :
[tex]AB=\sqrt{(p-r)^2+(q-s)^2}[/tex]
So, distance between P an Q is :
[tex]PQ=\sqrt{(-7-4)^2+(6-6)^2}\\\\PQ=11\ units[/tex]
Distance between Q and R is :
[tex]QR=\sqrt{(4-4)^2+(6-(-6))^2}\\\\QR=12\ units[/tex]
Distance between R and S is :
[tex]RS=\sqrt{(4-6)^2+(-6-(-6))^2}\\\\RS=\sqrt{4}\\\\RS = 2\ units[/tex]
Therefore, total distance is 11 + 12 + 2 = 25 units.
Hence, this is the required solution.
Please help me out with this thank you so much
Answer:
1. AAS
2. SAS
Step-by-step explanation:
1. From the graph it can be seen that two pairs of angles are congruent. The side that is not between the two sides is also congruent. Thus we can use AAS (two angles and a side that is not between the two angles) postulate.
2. The graph shows that there are two pairs of congruent sides. We can also prove that angle ACB is congruent to angle DCE because the two angles are vertical. So we can use the SAS postulate.
Hope this helps! :D
In order to keep a specific bacteria alive, the tempature in a science lab, cannot exceed -20F. The electricity went out, when the tempature was -72F, but is increasing at a rate of 6.5 per hour. How many hours do the scientist have until the bacteria is not safe?
Answer:
At most 8 hours
Step-by-step explanation:
Given
[tex]Maximum = -20F[/tex]
[tex]Rate = 6.5/hour[/tex]
[tex]Base\ Temperature =-72F[/tex]
Required
Determine the time taken
Represent time by t.
The relationship between all parameters is:
[tex]Maximum = Base\ Temperature + Rate * t[/tex]
[tex]Base\ Temperature + Rate * t \leq Maximum[/tex]
This is so (≤) because, according to the question, the temperature can not exceed the maximum.
So, we have:
[tex]-72 + 6.5*t \leq -20[/tex]
[tex]-72 + 6.5t \leq -20[/tex]
Collect Like Terms
[tex]6.5t \leq -20 + 72[/tex]
[tex]6.5t \leq 52[/tex]
Solve for t
[tex]t \leq 52/6.5[/tex]
[tex]t \leq 8[/tex]
Hence, they have at most 8 hours
Sa
Expo Milano 2015 was visited by 22.2 million people. It is expected that Expo 2020 Dubai will
be visited by 25 million people. Find the percent of change.
Answer:
12.6% is the percent of change.
Step-by-step explanation:
As Expo Milano 2015 was visited by 22.2 million people.
And it is expected that Expo 2020 Dubai will be visited by 25 million people.
so
25 - 22.2 = 2.8 million people
so dividing the 2.8 by 22.2 would give us the percentage of increase.
2.8/22.2 = 0.126 which is = 12.6%
Therefore, 12,6% is the percent of change.
The sum of twice a number and 4 is -22. Find the number
Answer:
-13
Step-by-step explanation:
let the unknown number be x
2x + 4=-22
2x=-22-4
2x=-26
divide both sides by 2
x=-13
Evaluate the expression |13|-|-5|
f(x) = 2x, find the ordered pair when x = 1. O (1,2) 0 (4,1) (2,1) O (1,4)
Answer:
The ordered pair is (1, 2) ⇒ A
Step-by-step explanation:
In the function f(x) = y
x is the domain of the functiony is the range of the functionThe domain is all the x-coordinates of the points lie on the graph of the functionThe range is all the y-coordinates of the points lie on the graph of the functionThat means any ordered pair (x, y) satisfy the function f(x) = y, lies on the graph of the function
∵ f(x) = 2x
→ That means y = 2x
∵ x = 1
→ Substitute the value of x in the function above
∴ f(1) = 2(1)
∴ f(1) = 2
→ That means at x = 1, y = 2
∴ The ordered pair is (1, 2)
ASAP When 4(0.5x+2.5y-0.7x-1.3y+4) is simplified, what is the resulting expression?
A) -0.8x+4.8y+16
B) 0.8x-4.8y+16
C) -0.8x-4.8y+4
D) 0.8x+4.8y+4
Answer:
The answer is A.
Step-by-step explanation:
4(0.5x+2.5y-0.7x-1.3y+4)
2x+10y+-2.8x+-5.2y+16
2x-2.8x+10y-5.2y+16
= -0.8x+4.8y+16
How many eight notes is equal to a halfnote
Answer: Four eighth notes
Sixteenth Notes
Step-by-step explanation: Two quarter notes equal one half note in duration and four quarter notes equal one whole note. Two eighth notes equal one quater note in duration. Four eighth notes equal one half note in duration and eight eighth notes equal one whole note.
Answer:
Four eighth notes
Four eighth notes equal one half note in duration and eight eighth notes equal one whole note. Two sixteenth notes equal one eighth note in duration and four sixteenth notes equal one quarter note in duration, etc.
From 1990 to 1996, the consumption of poultry per capita is modeled by: y=-.2125t^2 + 2.615t+56.33 where t=0 corresponds to 1990. What was the per capita poultry consumption in 1992?
Answer:
60.71
Step-by-step explanation:
Given that:
Consumption of poultry per capita is modeled by:
y=-.2125t^2 + 2.615t+56.33 ; t = 0 corresponds to 1990
Per capita poultry consumption in 1992;
1992 ; t = 2
y=-.2125t^2 + 2.615t+56.33
Put t = 2 in the equation
y=-.2125(2)^2 + 2.615(2) +56.33
y = -.2125(4) + 2.615(2) + 56.33
y = - 0.85 + 5.23 + 56.33
y = 60.71
first to answer corretly gets brainleist! I need ya to find the slope for me!
Answer:
y = x
Step-by-step explanation:
hope this helps!
Answer:
m=1
Step-by-step explanation:
Notice how it is rising 1 unit and running 1 unit to the right; or
m = (y2-y1)/(x2-x1), pick two points (1,1) and (2,2) from the graph
m=(2-1)/(2-1)=1
At a fair there are 18 game booths and 27 food booths. The fee for a food booth is $75 plus $5 per day. The fee for a game booth is $50 plus $8 per day. The fair lasts for d days, and all of the booths are rented for the entire time. Write and simplify an expression for the amount in dollars that the company is paid.
Answer:$$4444
Step-by-step explanation:
Solve for x and y
3x + 2y = 16
7x + y = 19
(-2,-5)
(-2,5)
(2,5)
(2,-5)
Answer:
(2,5)
Step-by-step explanation:
it's (2,5) just to let you now
Which of the following could be a value of x in the following inequality?
-5(x - 2) > 4+4(x + 6)
Answer:
x < -2
Step-by-step explanation:
Answer:
so you didn't state what the choices were but..
Step-by-step explanation:
heres it simplified
-5x+10>4+4x+24
-18>9x
x=-2
hope this helped
Transformation!! Please only help if you have the answer!!
Answer:
the answer for this one is A
Step-by-step explanation:
mostly because for this you're only looking for H and not the rest of them so if you reflect is itll be in the same spot just on the opposite side
Your friend tells you that if you let him keep 50 of your Pokemon cards for a month, he will give you 1 extra card when he returms your cards. What is the annual rate of interest he is willing to pay for the borrowed cards?
Answer: 1 extra card
Step-by-step explanation:
Erika spends about 4 hours each week practicing her violin. How much time would Erika spend practicing her violin for an entire year?
Answer:
There are 52 weeks in a year. So the problem is 4 x 52
Step-by-step explanation:
find the coordinates of D if E is the midpoint of CD for C(-3,4) and E(0,1)
Answer:
34
Step-by-step explanation:342
Write the equation of the line that passes through
the given points.
(0, 1) and (2, 2)
Answer:
y = 1/2x + 1
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesAlg I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step-by-step explanation:
Step 1: Define
y-intercept (0, 1)
Point (2, 2)
Step 2: Find slope m
Substitute: [tex]m=\frac{2-1}{2-0}[/tex]Subtract: [tex]m=\frac{1}{2}[/tex]Step 3: Write equation
y = 1/2x + 1
what is 25.5 divided 1.8
Answer:
It equals 14.1666666667, rounded to the hundredth is 14.17
Step-by-step explanation:
Find y, at and tu I need help please help
Answer:
there is no picture... but i will try my best to help you if you post picture in another question
25x+15y=750
please find the x and y intercept !!
Answer:
(30, 0) and (0, 50)
Step-by-step explanation:
( 0 , y ) are coordinates of y-intercept.
( x , 0 ) are coordinates of x-intercept.
25x + 15y = 750
25(0) + 15y = 750 ⇒ y = 50
( 0 , 50 ) are coordinates of y-intercept.
25x + 15(0) = 750 ⇒ x = 30
( 30 , 0 ) are coordinates of x-intercept.
4. Use trigonometric ratios to solve for the variable. Show your work. Round lengths to the nearest tenth and angles to the nearest whole degree. 7 5 7 JS
Answer:
y = 1.9 units (nearest tenth)
Step-by-step explanation:
recall that for a right triangle with angle θ
tan θ = opposite length / adjacent length
in our case we are given the following:
θ = 15 deg
opposite length = y
adjacent length = 7
substituting these into the equation:
tan θ = opposite length / adjacent length
tan 15 = y / 7
y = 7 tan 15
y = 1.8756
y = 1.9 units (nearest tenth)
URGENT!!!! WILL GIVE A BRAINLIEST!!! Which ordered pair is a solution of the inequality y < 3x + 1?
A. (−3, −2)
B. (1, −3)
C. (3, 14)
D. (1, 6)
Answer:
B
Step-by-step explanation:
V(t), left parenthesis, t, right parenthesis models the number of visitors in a park as a function of the outside temperature t (in degrees Celsius).
Look at picture posted below.
t 18 20 37
------------------------
v(t) 10 18 46
When does the number of visitors in the park increase faster?
Choose 1 answer:
(A). Between outside temperatures of 181818 degrees Celsius and 202020 degrees Celsius
(B). Between outside temperatures of 202020 degrees Celsius and 272727 degrees Celsius
(C).The number of visitors increases at the same rate over both intervals
Answer:
The number of visitors increases at the same rate over both intervals
Step-by-step explanation:
The unit rate at which the number of visitors in the park increases over a given temperature interval is called the average rate of change, or ARCARCA, R, C.
To find the average rate of change of a function over an interval, we need to take the total change in the function value over the interval and divide it by the length of the interval.
Hint #22 / 3
We are asked to compare the rates at which the number of visitors increases over the interval between an outside temperature of 181818 degrees Celsius and 202020 degrees Celsius, and over the interval between an outside temperature of 202020 degrees Celsius and 272727 degrees Celsius. These correspond to the domain intervals [18,20][18,20]open bracket, 18, comma, 20, close bracket and [20,27][20,27]open bracket, 20, comma, 27, close bracket.
Let's calculate the average rate of change of VVV over those intervals:
ARC_{[18,20]}ARC
[18,20]
A, R, C, start subscript, open bracket, 18, comma, 20, close bracket, end subscript ARC_{[20,27]}ARC
[20,27]
A, R, C, start subscript, open bracket, 20, comma, 27, close bracket, end subscript
\begin{aligned} \dfrac{V(20)-V(18)}{20-18}&=\dfrac{18-10}{2}\\\\&=\dfrac{8}{2}\\\\&=4\end{aligned}\quad
20−18
V(20)−V(18)
=
2
18−10
=
2
8
=4
\begin{aligned} \dfrac{V(27)-V(20)}{27-20}&=\dfrac{46-18}{7}\\\\&=\dfrac{28}{7}\\\\&=4\end{aligned}
27−20
V(27)−V(20)
=
7
46−18
=
7
28
=4
Hint #33 / 3
The average rate of change over the interval [18,20][18,20]open bracket, 18, comma, 20, close bracket is the same as the average rate of change over the interval [20,27][20,27]open bracket, 20, comma, 27, close bracket.
Therefore, the number of visitors increases at the same rate over both intervals.
Using the average rate of change, it is found that the correct option is:
(A) Between outside temperatures of 18 degrees Celsius and 20 degrees Celsius.
The rate of change of a function is given by the change in the output divided by the change in the input.
When the temperature changes from 18 to 20 degrees, the number of visitors increase from 10 to 18, thus, the rate of change is:
[tex]r = \frac{18 - 10}{20 - 18} = \frac{8}{2} = 4[/tex]
When the temperature changes from 20 to 37 degrees, the number of visitors increase from 18 to 46, thus, the rate of change is:
[tex]r = \frac{46 - 18}{37 - 20} = \frac{28}{17} = 1.65[/tex]
First case has higher rate of change, thus, option A is correct.
A similar problem is given at https://brainly.com/question/20732437
On a conveyor belt, there can only be two boxes moving at a time. The total weight of the boxes cannot be more than 300 pounds. Let x and y represent the weights of the two boxes on the conveyer belt.
a. Write an inequality that describes the weight limitation in terms of x and y.
b. Two boxes are to be placed on the conveyor below. The first box weighs 175 pounds. What is the maximum weight of the second box?
Answer:
The maximum weight of the second box is 125 pounds. (The box can weight less than 125 pounds, but no more than 125 pounds since the total weight of the boxes cannot be more than 300 pounds.)
Step-by-step explanation:
x+y ≤ 300
175+y ≤ 300
Substract 175 on both sides:
y ≤ 125
The inequality that describes the weight limitation in terms of x and y is -
x + y ≤ 300 and the maximum weight of second box can be 125 pounds.
We have a conveyor belt such that there can only be two boxes moving at a time. The total weight of the boxes cannot be more than 300 pounds.
It is given in the question to assume let x and y represent the weights of the two boxes on the conveyer belt.
We have to find -
a) - inequality that describes the weight limitation in terms of x and y.
b) - If two boxes are to be placed on the conveyor belt and first box weighs 175 pounds then what is the maximum weight of the second box?
What is inequality?Inequality in mathematics is a relation that is used to compare two or more algebraic expressions.
According to the part 'a' of the question -
The inequality that describes the weight limitation in terms of x and y is -
x + y ≤ 300
According to part 'b' of the question -
x = 175 pounds
The maximum weight of second box can be found out by substituting the value of 'x' in inequality in part a.
175 + y ≤ 300
y ≤ 125
Hence, the maximum weight of second box can be 125 pounds.
To solve more questions on inequalities, visit the link below -
https://brainly.com/question/8849993
#SPJ2
Sofia saw a sign that all calculators were 20% off the regular price. She determined that if she substituted the price of the calculator she wants (c) into the expression c - 0.2c, she could find the sale price of the calculator after the discount. What is the expression when written in simplest form?
If the sale price if the calculator was $28.00, what was the original price? Justify your solution.
Answer:
Simplest form: 0.8c
Original Price: 35$
Step-by-step explanation:
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
Step-by-step explanation:
60 + 70 + 5x = 180
then solve for x
Find the Value of Y! Thank u!!!
Answer:
my bad if im wrong but i got y=35
Step-by-step explanation:
Which letter on the number line represents 5 added to -4?
A) A
B) B
C) C
D) D
Start at -4 on the number line. Then move 5 units to the right to get to 1, which is where point C is located.
This shows -4+5 = 1 which is the same as saying 5+(-4) = 1 or 5-4 = 1.
Here's one real world application:
You are on basement level 4, meaning you are 4 floors below the ground floor. If you take the elevator up 5 floors, then you'll end up on the first floor of the building.
Please answer correctly and positive :)
The correct answer is C
