Answers
[tex]\\\text{Given that,}\\\\(x_1 , y_1) = (5,6) ,~~ (x_2, y_2) = (-5,-4)\\\\\text{Slope},~m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-4-6}{-5-5} = \dfrac{-10}{-10} = 1[/tex]
Related Questions
The admission fee at a local zoo is $1.50 for children and $3.00 for adults. On a certain day, 2400 people enter the zoo and $4,800.00 is collected. How many children and how many adults?
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Answer:
Step-by-step explanation:
c = children
a = adults
2200 people enter the zoo mean :
c + a = 2200
$4,550.00 is collected mean :
1.5 c + 4 a = 4550
Now you must solve system:
c + a = 2200
1.5 c + 4 a = 4550
c + a = 2200 Subtract c to both sides
c + a - c = 2200 - c
a = 2200 - c
1.5 c + 4 a = 4550
1.5 c + 4 ( 2200 - c ) = 4550
1.5 * c + 4 * 2200 - 4 c = 4550
1.5 * c + 8800 - 4 c = 4550
- 2.5 c + 8800 = 4550 Subtract 8800 to both sides
- 2.5 c + 8800 - 8800 = 4550 - 8800
- 2.5 c = - 4250 Divide both sides by - 2.5
c = - 4250 / - 2.5
c = 1700
a = 2200 - c = 2200 - 1700 = 500
1700 children and 500 adults
Proof :
c + a = 1700 = 2200
$ 1.5 * c + $ 4 * a =
$ 1.5 * 1700 + $ 4 * 500 =
$ 2550 + $ 2000 = $ 4550
The number of children and the number of adults are 1600 and 800, respectively.
What is the solution to the equation?The allocation of weights to the relevant variables that produce the calculation's optimum is referred to as a direct consequence.
A nearby zoo charges $1.50 for kids and $3.00 for adults to enter. 2400 persons visit the zoo on a certain day, and $4,800.00 is gathered.
Let x be the number of children and y be the number of adults. Then the equation is written as,
x + y = 2400 ...1
1.5x + 3y = 4800
x + 2y = 3200 ...2
Subtract equation 1 from equation 1, then
2y - y = 3200 - 2400
y = 800
Then the value of x is calculated as,
x + 800 = 2400
x = 2400 - 800
x = 1600
The number of children and the number of adults are 1600 and 800, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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Company A received 2131 more patents than Company B. Together, they received patents many patents did each company receive?
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Fill in the blank with a number to make a true statement. *
0.25 / ? = -0.25
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consider h(x)=x^2+8+15. identify its vertex and y-intercept.
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Answer:
Vertex: (-4, -1)
Y-intercept: (0, 15)
Step-by-step explanation:
Given the quaratic function, h(x) = x² + 8x + 15:
In order to determine the vertex of the given function, we can use the formula, [tex][x = \frac{-b}{2a}, h(\frac{-b}{2a})][/tex].
Use the equation: [tex][x = \frac{-b}{2a}, h(\frac{-b}{2a})][/tex]In the quadratic function, h(x) = x² + 8x + 15, where:
a = 1, b = 8, and c = 15:
Substitute the given values for a and b into the equation to solve for the x-coordinate of the vertex.
[tex]x = \frac{-b}{2a}[/tex]
[tex]x = \frac{-8}{2(1)}[/tex]
x = -4
Subsitute the value of the x-coordinate into the given function to solve for the y-coordinate of the vertex:
h(x) = x² + 8x + 15
h(-4) = (-4)² + 8(-4) + 15
h(-4) = 16 - 32 + 15
h(-4) = -1
Therefore, the vertex of the given function is (-4, -1).
Solve for the Y-intercept:The y-intercept is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:
h(x) = x² + 8x + 15
h(0) = (0)² + 8(0) + 15
h(0) = 0 + 0 + 15
h(0) = 15
Therefore, the y-intercept of the quadratic function is (0, 15).
Determine whether the ratios 8:7 and 15:14 are equivalent
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Answer:
They are not
Step-by-step explanation:
We can see that 14 / 2 = 7, so we can check for the other side by dividing both sides of the ratio by 2:
15:14
\/
7.5:7 ≠ 8:7
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
The letters A, B, and C can be arranged in six ways. Five ways are listed below.
Find the sixth way.
АВС ACB BAC ВСА САВ
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Answer:
CBA would be the sixth
Step-by-step explanation:
At an airport, it costs $7 to park for up to one hour and $5 per hour for each additional hour. Let x
represent the number of hours parked. Write the function that models the cost, C(x), of parking x
hours, where x is an integer greater than 1. A:c(x)
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Answer:
C(X)=5(x-1)+7
Step-by-step explanation:
because x-1 represents the fact that the first hour costs $7 and then x times 5 represents the fact that each hour after that costs $5
Violet is playing a board game with her friends. She earned 78 points during the game, and she receives a game-end bonus for achieving her secret objective. With her bonus, Violet came in second place with 91 points. Let b be the number of points Violet earned for the game-end bonus. Write and solve the equation for b.
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Answer:
78 + B = 91...
91 - 78 = B
91 - 78 = 13
B = 13
Step-by-step explanation:
Calculate the average of these values: 38, 48, 58, 68?
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Answer:
53 is the average value.
Step-by-step explanation:
To find the average, or mean of multiple values you first add them all up:
38+48+58+68=212
Then you count how many different numbers there are, (there are 4 numbers here, if there are 2 of the same numbers you still count them both, just so you understand).
Then you need to divide the total you got, 212, by the total amount of numbers, 4, to get the average amount, 53.
I hope that my answer has helped you, have a great day, ask any questions you have below.
This graph gives Selma's distance from home over time What does the slope of the line show in this situation? 20 18 16 Select from the drop-down menus to correctly complete each statement 14 12 Distance from home (miles) 100 For this situation, the slope of the line represents 81 60 Choose 40 20 The slope is Choose... which means that Selma's distance 0 from home Choose... by Choose... miles per hour.
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Answer:
The amount Selma's distance from home changes per unit of time.
The slope is 38, which means that Selma's distance from home increases by 38 miles per hour.
Step-by-step explanation:
I just took the the test in k12 and I got it right.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. Selma's distance from home increases by 38 miles per hour.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points from graph are (2, 91) and (4,167)
x₁=2,y₁=91,x₂=4, y₂=167
Substitute in the formula
167-91/4-2
76/2
38
The amount Selma's distance from home changes per unit of time.
So slope is 38, which means that Selma's distance from home increases by 38 miles per hour.
Hence Selma's distance from home increases by 38 miles per hour.
To learn more on slope of line click:
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Devaughn's age is two times Sydney's age. The sum of their ages is 21. What is Sydney's age?
Answers
Answer:
The age is 7
Step-by-step explanation:
Devaughn's age is two times Sydney's age
and the sum of their ages is ? Let’s Sydney's age is X, Devaughn's age is (2X+X=21)
Therefore 3X=21
Rearranged is X= 21 divide 3
Therefore Sydney’s age is 7
Gabby read 98 pages of a book then stopped. She later decided to continue the book and read 37 more pages every day.
Let d represent the number of days since Gabby decided to continue the book and p represent the total number of pages of the book she had read.
Answers
Answer:
number of days = 3
total number of pages=135
Step-by-step explanation:
98÷49= 2
37=1 day
total number of days=3days
Total number of pages read=135 pages
Evan is landscaping his backyard. The yard is shaped like a rectangle and measures 80 feet by 70 feet. He wants to spread topsoil evenly over the entire surface. One load of topsoil will cover 400 square feet, 4 inches deep. How many loads of dirt does Evan need in order to cover his entire yard?
A. 14
B. 16
C. 18
D. 20
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identify the pair of similar triangles in each of the groups of triangle below
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Answer:
its triangle ABC and XYZ
Step-by-step explanation:
Martin is buying inkjet cartridges that cost $22 each. He has $100 to pay for the cartridges.
Which number line shows the number of cartridges Martin can buy?
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Answer: C
Step-by-step explanation:
lets think about it
you can totally buy 0 ink cartridges. you can just be like "nope ok im gone, no ink today, the prices are so high.. maybe another time. maybe ill use the school printer or smth"
so that ELIMINATES B.
and now A and D are strange because how exactly are we going to buy half of an ink cartridge? or a fraction of an ink cartridge? that simply isnt feasible
so this eliminates A and D
now C is the best because you can buy 0, 1, 2, 3, 4 ink cartridges. but not 5 because that is $110 and Martin dont got that money, am i right fellas?
Answer:
The Answer Is C
Step-by-step explanation:
Name the postulate or theorem that you can use to show the triangles are congruent. Then explain why the statement is true.
I’ll choose brainliest
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4. EA ≅ MA
In ΔTAE and ΔTAM,
TE = TM (Given)
∠ETA = ∠MTA (Given)
TA = TA (Common)
∴ ΔTAE ≅ ΔTAM
∴ EA = MA (CPCT)
5. In ΔJUN and ΔJEN,
JU = JE (Given)
NE = NU (Given)
JN = JN (Common)
∴ ΔJUN ≅ ΔJEN (By SSS Criteria)
∴ ∠U = ∠E (CPCT)
Hope it helps you....
Please mark as brainlliest
Find the cardinal number of the set:
C={1/x x is an integer that's greater than or equal to 4 and less than or equal to 9}.
Answers
Answer: 6
Step-by-step explanation:
Ok lemme actually format this set
[tex]$C = \left\{\frac 1x : x \in \mathbb{Z}\ \text{and}\ 4 \leq x \leq 9\right\}$[/tex]
Well the only integers from 4 to 9 are 4, 5, 6, 7, 8, 9. So this set is just
[tex]$C = \left\{\frac 14, \frac 15, \frac 16, \frac 17, \frac 18, \frac 19\right\}$[/tex]
which has cardinality [tex]\boxed{6}[/tex] .
You are asked to prepare 900mls of 3% sucrose. How much sucrose do you need?
Answers
Answer:
27g of sucrose
Step-by-step explanation:
You would need 3g of sucrose per ever 100ml and you have 900ml therefore 27g
Would anyone help me with this please, worth 20 pts.
Answers
Answer:
Below in bold.
Step-by-step explanation:
The perimeter = length of 3 sides of the square + 1/2 the circumference of the circle. The radius of the circle = 2.5 in and its circumference = 2π r and 1/2 of this is π r.
So the perimeter = 3*5 + π r
= 15 + 2.5π
= 22.85 in to the nearest hundredth.
Which equation has a solution of r = 1/3
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Answer:
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
A.
2 2/3 + r = 3
r = 3 - 2 2/3
r = 1/3
B.
r - 1 = 2/3
r = 1 2/3
C.
3r = 1/3
r = 1/9
D.
4r = 12
r = 3
Answer: A.
Mary was asleep from 9:pm to 5:am. How long was she asleep for?
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Answer:
8 hours
Step-by-step explanation:
Answer:
8hours
Step-by-step explanation:
I need word form and decimal
(I already shaded it in so that is all I need
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The shading is correct for each of the three problems. Nice work.
==========================================
Problem 13
Word form = one tenth
Decimal form = 0.1
Explanation: The 1 is in the tenths place for the decimal value 0.1 to represent the fraction 1/10.
==========================================
Problem 14
Word form = eighty-five hundredths
Decimal form = 0.85
Explanation: The 8 is in the tenths place, and the 5 is in the hundredths place. Overall, 0.85 represents 85 out of 100, aka 85/100.
==========================================
Problem 15
Word form = thirty-nine thousandths
Decimal form = 0.039
Explanation: The second zero is in the tenths place. The 3 is in the hundredths place. The 9 is in the thousandths place. The decimal represents 39/1000 which you can think of it as 039/1000.
Eighty five hundredths, 0.85
Thirty nine thousandths, 0.039
Hope this helps!!!
Choose all of the equations that are equivalent to 8k = 20.
Answers
Answer:
D
Step-by-step explanation:
it's 100% I'm super sure
What is the scale factor for the dilation of triangle ABC
to produce triangle A'B'C'?
A. 0.25
B. 0.5
C. 2
D. 3
What is the scale factor for the dilation of triangle ABC
to produce triangle A"B"C?
A. 0.25
B. 0.5
C. 2
D. 3
Answers
Answer:
1) B 0.5
2) C 2
Step-by-step explanation:
point A (-2, 2) (0.5) = (-1, 1) A'
point B (-2, -1) (0.5) = (-1, -0.5) B'
point C (3, -1) (0.5) = (1.5, -0.5) B'
point A (-2, 2) (2) = (-4, 4) A'
point B (-2, -1) (2) = (-4, -2) B'
point C (3, -1) (2) = (6, -2) B'
examine the following sequence 1,4,9,16,25…why is 36 the next number in the sequence ? because the pattern is
Answers
Answer:
The pattern is adding by consecutive odds.
Step-by-step explanation:
The first odd you start with is 3:
1 + 3 = 4
4 + 5 = 9
9 + 7 = 16
16 + 9 = 25
25 + 11 = 36
...
Note that each time you add, it is by consecutive odds, meaning that after 36, you are adding 13, then 15, etc.
~
If you earn 15% on your investment how long will it take for your money to double using the rule of 72
Answers
Answer:
If you earn 15% the answer will be 10.8
Step-by-step explanation:
I know this because if you use the rule of 72 you will have to divide the two numbers together and the you will come out with 10.8
Lindsey drew a scale of a city. the scale of the drawing is 1 inch = 3 yards. If the actual length of a neighborhood park is 114 yards, how long is the park in the drawing?
Answers
Answer:
38 in
Step-by-step explanation:
114 yds divided by 3 = 38 in
What is the answer =2^3(10-7)/3*7?
Answers
Hope it helps:)
Answer:
the ansewer is 56
Step-by-step explanation:
by appling bodmas rule which means if such type of operation apper in one question we work it step by step first bracket then division next multiplication then addition finaly substruction 2^3(10-7)/3*7(10-7)=32^3(3)/3*73/3=12^3*1*72^3=88*1*7=8*7=56which inequality has he same solutions as d < -5
Answers
Find the equation of the line with slope 43 and y-intercept (0,−1)
Answers
Answer:
y = 43x -1
Step-by-step explanation:
Using slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 43x -1