The distance between two points having coordinates (4, -4) and (9, -2) plotted on the cartesian plane, and rounded to the nearest tenth, will be 5.40 units.
As per the question statement, two points having coordinates (4, -4) and
(9, -2) plotted on the cartesian plane.
We are required to calculate the distance between the above mentioned two points, rounded to the nearest tenth.
To solve this question, we need to know the Distance-formula which goes as,
"The distance between any two points (x₁, y₁) and (x₂, y₂) can be given by √[(x₂ - x₁)² + (y₂ - y₁)²]"
Assuming that [(x₁, y₁) = (4, -4)] and [(x₂, y₂) = (9, -2)], and substituting these values in the above-mentioned distance formula, we get,
√[(9 - 4)² + {(-2) - (-4)}²]
= √[(9 - 4)² + {(-2) + 4}²]
= √[(9 - 4)² + (4 - 2)²]
=√[(5)² + (2)²]
=√(25 + 4)
=√29
= 5.38 units.
Therefore, rounding (5.38) to the nearest tenth, we get, 5.40.
That is, the distance between two points having coordinates (4, -4) and (9, -2) plotted on the cartesian plane, and rounded to the nearest tenth, will be 5.40 units.
Distance: In Mathematics, physics or daily life, distance is a numerical or occasionally qualitative measurement of how far objects or points are from each other.Coordinates: In geometry, coordinates are a pair of numbers that can uniquely determine the position of points or other geometric elements on a Euclidean or Cartesian Plane.To learn more about Distances and Coordinates, click on the link below.
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Find the value of m.
28
3
35°
| | (1 d.p.)
The value of the base in the given triangle is 22.96.
What is a triangle?Three edges and three vertices make up the three sides of a triangle, which is a three-sided polygon in geometry. The fact that a triangle's internal angles can be added up to equal 180 degrees is its most significant characteristic. Triangle's angle sum property is what this characteristic is known as.
We have given to find m, we will use cosine rule
cos ∅ = base/hypotenuse
Here ∅ = 35°
Base = m
Hypotenuse = 28
lets substitute the values and we get,
⇒ cos 35° = m/28
⇒ m = cos 35° × 28
⇒ m = 0.82 × 28 ( cos 35° = 0.82)
⇒ m = 22.96
Thus, the value of the base in the given triangle is 22.96.
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Can someone help me on Rate of change
Answer:
slope is cost per hamburger, $3.00.total cost is $15.50.initial cost is ticket price, $3.50.Step-by-step explanation:
Given incorrect statements regarding cost relationships involving tickets and hamburgers at a basketball game, you want the corrected versions.
Each given relation involves two elements of the costs in the given situation. The incorrect relation can be resolved two ways: changing one of the elements, or changing the other one.
a. slope = total costThis can be corrected by identifying what the slope represents:
The slope represents Arlie's cost per hamburger.
Or, by saying what represents total cost.
The value of the cost function represents total cost.
b. total cost = $12This can be corrected by identifying the cost of 4 hamburgers:
If Arlie buys 4 hamburgers, his cost of hamburgers will be $12.
Or, by saying what the total cost is with 4 hamburgers:
If Arlie buys 4 hamburgers, his total cost is $15.50.
c. initial cost = price per burgerThis can be corrected by identifying Arlie's initial cost at the game:
Arlie's initial cost at the game is the price of the ticket.
Or, by saying the price per burger:
Arlie found that $3.00 at the game is the price per burger.
Graph the function. Find the y-intercept and state the domain and range. y = 4(2x) + 1
The domain and the range of the function y = 4(2x) + 1 are oo < x < oo and oo < y < oo
How to determine the domain and the range?The function is given as
y = 4(2x) + 1
Rewrite as a function
f(x) = 4(2x) + 1
Next, we plot the graph of the function (see attachment)
From the graph, we can see that the graph is a linear graph
This means that the function has a domain and a range of all set of real values
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Which situations can be represented by an exponential function?
The sales at an auction website double each year.
In a stadium section, each row has 3 more seats than the previous row.
The value of a home increases by 7.5% per year.
Karen increases her running distance by 0.5 km per week.
The mathematical expression f(x)=exp or ex denotes the exponential function. A function is said to be an exponential function when the value of the function increases/decreases rapidly.
What is exponential function?The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
When the input variable x appears as an exponent in the formula f(x) = ax, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x. x can be any real number in the case when a>0 and a=1 are true.
A function is said to be an exponential function when the value of the function increases/decreases rapidly.The situations that can be represented by an exponential function are:An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.A toad population is increasing by about 7.5% each year.The complete question is,
Which situations can be represented by an exponential function? select each correct answer. an event organizer finds each year's attendance for the past five years is about 45 of the previous year's attendance. on the highway, Kareem's car gets 38 mpg. shu fang has $25.75 deducted from her checking account every month. a toad population is increasing by about 7.5% each year?
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Change 7/3 from an improper fraction to a mixed number.
7 0/3
2 1/3
3 1/2
2 3/1
Answer:
Step-by-step explanation:
Here is what the mixed number looks like. [tex]W\frac{R}{D}[/tex]
W- whole numbers (that is the integers)
R- remainder
D- denominator
If you ever want to convert an improper fraction to a mixed number, here are the steps.
Step 1: Use traditional division. How many does 3 goes into 7? 2 times with remainder, R=1 (how many is left over after dividing).
Step 2: Replace the unknowns with D=3
Note: the denominator always stays the same!
[tex]2\frac{1}{3}[/tex]
-15 turned into a rational number as a/b
Answer:
-15/1 is a rational number that gives you the answer. There is other answers such as -45/3 to get -15, but -15/1 is much simpler.
Step-by-step explanation:
-15/1 is a rational number that gives you the answer. There is other answers such as -45/3 to get -15, but -15/1 is much simpler.
find m
how would i solve these? do i use the exterior angle theorem? pls help
Um maybe try it out then ask for help from the teacher
5. Every year 3% of university students drop out of their course at
CleverClogs University. This year 12 people dropped out. How
many people started at the beginning of the year?
Total number of people 400 started at the beginning. To calculate the percentage, divide the value by the total value and multiply the result by 100.
What is meant by Percentage?A percentage is a number or ratio that can be expressed mathematically as a fraction of 100. Divide the number by the whole and multiply by 100 to get the percentage.As a result, the percentage represents a part out of 100. % stands for one hundred percent. The symbol "%" represents it. A percentage is a relative value that represents one-hundredth of a whole. One percent (symbolized 1%) represents one hundredth part; thus, 100 percentTherefore,
Percentage of students dropped = 3%
Number of people dropped this year= 12
To find Total students = (12/3) * 100 = 400
That is to find how many people dropped is = 400 *(3/100) = 12
so we can rearrange the formula .
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Please help me ( and please use the letter so easy for mr to find it, Thank you ^^ )On which number line do the points represent negative five and one over two and +2? (4 points)
a
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 5th and 6th tick marks to the left of 0. A point labeled T is placed between the 3rd and 4th tick marks to the left of 0.
b
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 3rd and 4th tick marks to the right of 0. A point labeled T is placed between the 5th and 6th tick marks to the right of 0.
c
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 2nd tick mark to the left of 0. A point labeled T is placed between the 5th and 6th tick marks to the right of 0.
d
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed is placed between the 5th and 6th tick marks to the left of 0. A point labeled T is placed on the 2nd tick mark to the right of 0.
Answer:
Step-by-step explanation:
Need to give more information to solve this problem
Question Simplify the expression. 4(b−6) +19
Answer:
The first thing you need to do is open the bracket
4(b-6)+19
=4b -24 +19
collect like terms
4b=24 -19
4b =5
divide both sides by 4
4b/4=5/4
b=5/4 or 1.25
Find the simple interest and the future value for principal amount $6000, rate 4%, and time 1 year. The simple interest is $The future value is $
We have the following equation to find the simple interes:
[tex]I=P\cdot n\cdot r[/tex]where P is the principal amount, r is the rate and n is the time period.
In this case, we have the following:
[tex]\begin{gathered} P=6000 \\ n=4\%=0.04 \\ n=1 \\ \Rightarrow I=6000\cdot0.04\cdot1=240 \\ I=240 \end{gathered}[/tex]thus, the interest after 1 year is $240.
To find the future value, we can add the interest to the principal amount to get:
[tex]F=6000+240=6240[/tex]therefore, the future value is $6240
Maria is playing the bean bag toss at the local fair. The game costs $2 to play. Maria has 4 bean
bags to toss into a jar in front of her. The prize she wins is determined by the amount of bean bags
she is able to toss in the jar from 8 ft away.
• If Maria gets all 4 bean bags in the jar she will win a free unlimited rides pass.
• If Maria gets 3 bean bags in the jar she will win a ticket to ride the ferris wheel.
• If Maria gets 2 bean bags in the jar she will win a free bag of cotton candy.
• If Maria only gets 1 bean bag in the jar she does not win a prize.
What is the probability that Maria wins a free unlimited rides pass or a ticket to ride the ferris wheel?
The probability that Maria wins a free unlimited rides pass or a ticket to ride the ferris wheel is C. 7/12.
What is probability?It should be noted that probability simply means the likelihood that an event will occur.
In this case, the probability that Maria gets all 4 bean bags in the jar she will win a free unlimited rides pass is 1/4.
The probability that Maria gets 3 bean bags in the jar she will win a ticket to ride the ferris wheel is 1/3.
Therefore, the probability to get the tickets or ride pass will be:
= P(ride pass) + P(tickets)
= 1/4 + 1/3
= 3/12 + 4/12
= 7/12
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There may be more then one answer
Will give brainlest
Answer:
the 3(2m+1m) and 9m.
Step-by-step explanation:
2) AABCD ~ AEFGH
Use the information given to find the missing side of a figure
A)
3
x + 3
F)
x+4
E)
C)
5
B)
>H)
Answer:
Step 1: Judging by the relative lengths of the sides of the two triangles, we can conclude that A corresponds to T, B to S, and C to R, which we can write as
△
A
B
C
∼
△
T
S
R
.
In particular, the smallest sides
A
B
and
T
S
are corresponding sides with known lengths, so we form the ratio of their side lengths
9
15
. Remember that all ratios of corresponding side lengths are equal.
Step 2: Next we form a ratio that involves
x
. Since
B
C
and
S
R
are corresponding sides, we know that the ratio of their side lengths equals the ratio from Step 1:
18
x
=
9
15
Step 3: Finally, we cross-multiply and solve for
x
:
x
⋅
9
=
18
⋅
15
9
x
=
270
x
=
270
9
=
30
That is, the missing side length is 30.
Solve for x.
5x +13
x = [?]
X+23.
Answer:
5/2
Step-by-step explanation:
please my teacher will know its not me writing please make the explanation simple
A rabbit's fur grows at the rate of 5 over 2 inches per month.
How many months will it take the rabbit's fur to grow 15 over 4 inches?
Explain your answer using words, and show your work using division of fractions. (10 points)
Your answer:
Step-by-step explanation:
can we become friends????
i need to find y can you please solve it for me
Solution
The standard form of a quadratic equation is
[tex]y=ax^2+bx+c[/tex](4.2x10^2) + (2.3x10^4)
Answer:
23,420
Step-by-step explanation:
10^2=100
4.2×100=420
10^4=10,000
2.3×10,000=23,000
420+23,000=23,420
Please answer the questions in photo ( will mark brainliest )
Answer: 4 =division 5=multiplication6=subsitution
Step-by-step explanation:
Simple rules
20 POINTS IF U ANSWER ALL PLEASE
1.The two sides of the triangle that form the right angles. Are always the two shortest lengths given - Legs
2.The sides that's opposite the right angle. The length of this is always greater than the length of either leg.- Hypotenuse.
3. The triangle that contains a right angle(90°) - Right triangle.
4.In a right triangle the sum of the squares of the lengths of the legs equals the square of the lengths of the hypotenuse. - Pythagorean Theorem.
What is a right triangle?
If one of the triangle's angles is 90 degrees, the triangle is said to have right angles.The triangle with a right angle is known as a right triangle because a right angle is 90 degrees. Using the Pythagorean rule, it is simple to understand how the different sides of this triangle relate to one another. The greatest side of a right angle is known as the hypotenuse, and it is opposite the right angle.The right triangle's base, altitude, and hypotenuse are added to determine its perimeter.To learn more about right triangles, refer:
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The table shows a proportional relationship.
x 15 9 21
y 5 3 7
Describe what the graph of the proportional relationship would look like.
A line passes through the point (0, 0) and continues through the point (15, 5).
A line passes through the point (0, 0) and continues through the point (7, 21).
A line passes through the point (0, 0) and continues through the point (5, 15).
A line passes through the point (0, 0) and continues through the point (3, 9).
PLS HELP
The statement that describes the graph of the proportional relationship is:
"A line passes through the point (0, 0) and continues through the point (15, 5)."
How the proportional relationship would look like?We have a proportional relationship defined by the following table:
x: 15, 8, 21
y: 5, 3, 7
Remember that a general proportional relationship is given by the formula:
y = k*x
Where k is the constant of proportionality.
If we take x = 0, we always get:
y = k*0
y = 0
So the line always passes through the point (0, 0).
And by using the information on the table, we also know that the line passes through (15, 5), (9,3) and (21, 7).
Then the correct option is:
"A line passes through the point (0, 0) and continues through the point (15, 5)."
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Lily deposited $10,000.00 into a new savings account that earns 15% interest compounded monthly. How long will it take for the balance to grow to $37,822.00?
Jenny's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 6 senior citizen tickets and 4 student tickets for a total of $118. The school took in $258 on the second day by selling 14 senior citizen tickets and 8 student tickets. Find the price of a senior citizen ticket and the price of a student ticket.
The cost of tickets for senior citizen and students are $11 and $13 respectively.
System of equationsTo solve this problem, we have to write out system of equations and solve the value of the unknown.
Let;
x = senior citizen tickety = student tickets.We can express the problem mathematically as;
[tex]6x + 4y = 118..eq(i)\\14x + 8y = 258 ...eq(ii)[/tex]
Solving for x and y;
[tex]6x + 4y = 118..eq(i)\\14x + 8y = 258 ...eq(ii)\\x = 11, y = 13[/tex]
From the calculations above, the value of x and y are 11 and 13 respectively.
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Using trigonometry what is the value of t
Answer: t≈8.93 units
Step-by-step explanation:
The cosine of an angle (cos) is the ratio of the adjoining leg of a right triangle to the hypotenuse
Hence,
[tex]\displaystyle\\cos56^0 =\frac{5}{t} \\[/tex]
Multiply both parts of the equation by t(t≠0):
[tex]\displaystyle\\cos56^0(t)=\frac{5}{t} (t)\\\\t(cos56^0)=5[/tex]
Divide both parts of the equation by cos56°:
[tex]\displaystyle\\t=\frac{5}{cos56^0} \\\\t\approx\frac{5}{0,56} \\\\t\approx8,93\ units[/tex]
24x - 30 + 45-81x - 320x + 80
Can you please tell me what to fill in the blank
Use proportions to find the values that must be in the blanks.
For the first blank, 2 is to 5 as the value is to 10:
[tex]\begin{gathered} \frac{2}{5}=\frac{x}{10} \\ x=\frac{2}{5}\cdot10 \\ x=4 \end{gathered}[/tex]The first blank must be filled with 4.
For the second blank, 2 is to 5 as 6 is to the value:
[tex]\begin{gathered} \frac{2}{5}=\frac{6}{x} \\ x=6\cdot\frac{5}{2} \\ x=15 \end{gathered}[/tex]The second blank must be filled with 15.
For the last blank, 2 is to 5 as the value is to 25:
[tex]\begin{gathered} \frac{2}{5}=\frac{x}{25} \\ x=\frac{2}{5}\cdot25 \\ x=10 \end{gathered}[/tex]The last blank must be filled with 10
What part of the expression has a quotient: 5.3t-(20/4)+11
Answer:
(20/4)
Step-by-step explanation:
The term "quotient" implies division, which is present in the (20/4) part of the expression.
please help, I don’t know my properties very well. The choices are
associative property of addition
Commutative property of addition
Associative property of multiplication
Commutative property of multiplication
Answer:
C) Associative property of multiplicationStep-by-step explanation:
Given equation:
- 3x * 2 = 2The first step:
- 3 * 2x = 2We see right side is same and changes on the left side, similar to:
(ab)c = a(bc),where the factors are differently grouped, but it doesn't change the product.
This property is called:
Associative property of multiplicationThe matching choice is C
how long will it take for them to get the same number of followershow many followers will they have
Answer:
Explanation:
Let's refer to 1st the handle as A and the 2nd handle
Use The image to the right to answer Questions 1 - 4
1. Name two points collinear to point D.
2. Give another name for line p.
3. Name the intersection of line r and plane K.
4. Name a point non-coplanar to plane K.
Considering the given line and plane, it is found that:
1. Points E and F are colinear to point D.
2. Another name for line p is line AB, as these two points form the line.
3. The intersection of line r and plane K is at point X.
4. One point non-coplanar to plane K is of W.
Item 1Two points are colinear if they belong to the same line. In the context of this problem, points D, E and F belong to line q, hence points E and F are colinear to point D.
Item 2
Given two points, there is only one line that can pass through these points. Line p in this problem is composed by points A and B, hence the line can also be called line AB.
The intersection of a plane and a line is at a single point, and the point of line r that is coplanar to plane K is point X, hence it is the intersection of the line with the plane.
Item 4
A point is coplanar to a plane when the point belongs to the plane. In this problem, points W and Y do not belong to plane K, hence both are non-coplanar to plane K.
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