Answer:
YESStep-by-step explanation:
If point (3.4, 1.2) lies on a circle, the distance between this point and the center (1, -2) is equal to the radius r = 4.
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute:
[tex]d=\sqrt{(1-3.4)^2+(-2-1.2)^2}=\sqrt{(-2.4)^2+(-3.2)^2}\\\\=\sqrt{5.76+10.24}=\sqrt{16}=4=r[/tex]
The point (3.4, 1.2) lies on the circle, and distance between the two is 4 units.
To determine whether the point (3.4, 1.2) lies on the circle with a center at (1, -2) and a radius of 4, we can use the distance formula to calculate the distance between the center of the circle and the given point. If this distance is equal to the radius of the circle, then the point lies on the circle; otherwise, it does not.
The distance formula between two points[tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is given by:
[tex]\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \][/tex]
Let's calculate the distance between the center of the circle (1, -2) and the given point (3.4, 1.2):
[tex]\[ d = \sqrt{(3.4 - 1)^2 + (1.2 - (-2))^2} \]\[ d = \sqrt{(3.4 - 1)^2 + (1.2 + 2)^2} \]\[ d = \sqrt{(2.4)^2 + (3.2)^2} \]\[ d = \sqrt{5.76 + 10.24} \]\[ d = \sqrt{16} \]\[ d = 4 \][/tex]
The calculated distance between the center of the circle and the given point is equal to the radius of the circle, which is 4 units.
I could probably figure this out but I have way too much homework so It'd be nice to finish this pathway.
Yeah that's right always be a hardworking person
Mrs. Piper is driving Anna, Jo, and Mai home from school. All of them want to ride in the front seat. How can she make a fair decision about who rides in the front seat?
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The question is on probability
We have three students, Anna, Jo and Mai
We have 1 seat at the front
P(S)=3
P(A)=1/3
P(J)=1/3
P(M)=1/3
An olympian swam the 200-meter freestyle at a speed of 1.8 meters per second. An olympic runner ran the 200-meter dash in 21.3 seconds. How much faster was the runner’s speed than the swimmer’s speed to the nearest tenth of a meter per second?
Answer:
7.6m/s
Step-by-step explanation:
Find the time the Olympian swam
Speed=distance/time ⇒⇒Time=distance/speed
Distance=200m , speed= 1.8m/s t= 200/1.8 = 111.11 seconds
Find the speed of the Olympic runner
Distance=200m time = 21.3 sec
s=200/21.3 = 9.4 m/s
Difference in speed= 9.4-1.8= 7.6m/s
Answer:
7.6 m/s faster
Step-by-step explanation:
Speed of swimmer = 1.8 meters per second
The distance covered by runner = 200
Time of runner = 21.3 sec
We have to find the speed of the runner first so that we can compare with the speed of swimmer.
Speed = Distance/Time
=> 200/21.3
=> 9.4 m/s
So we have to find the difference between both speeds
Difference = 9.4 - 1.8
=> 7.6 m/s
So the runner was 7.6 m/s faster..
A tessellation is an arrangement of repeating shapes that have what
characteristic?
Answer:
Option B is correct, (no spaces or overlaps exist between it's pieces).- APEX
Step-by-step explanation:
I hope this helps.
Answer: No spaces or overlaps exist between its pieces.
What is the solution to the equation 3/5(x+4/3) = 1.04
1. 3.0666
2. 0.4
3. -0.4888
4. -.0709333
Answer:
2. 0.4
Step-by-step explanation:
Solve for "x" by simplifying both sides of the equation, then isolating the variable.
The solution of the equation is x = 0.4.
What is an Equivalent Expression?The expression where equivalent result is produced by the both sides of the expression.It is used to solve many critical mathematical problems.
Given: Equation
[tex]\frac{3}{5}(x+\frac{4}{3})=1.04[/tex]
Now, we have to solve for x.
[tex]\frac{3}{5}(x+\frac{4}{3})=1.04[/tex]
Multiplying both sides by 5, we get:
⇒ 3(x + 4/3) = 1.04 × 5
⇒ 3x + 4 = 5.2
⇒ 3x = 5.2 - 4
⇒ 3x = 1.2
Dividing both sides by 3, we get:
⇒ x = 0.4
Therefore, the solution of the given equation is x = 0.4.
Hence, option (2) is correct.
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Bobby-Joe takes a 25-question test for which he receives 4 points for each correct answer and loses 1 point for each wrong answer. If Bobby-Joe answers all the questions and gets a passing grade of 65%, how many questions did he get right?
Answer:
Let x be the number of questions he gets right. Let y be the number of questions he gets wrong.
Then:
x + y = 25
4x - 1y = 65
Adding these two equations gives:
5x = 90
x = 90/5 = 18 right answersy = 25 - 18 = 7 wrong answers
* Hopefully this helps:) Mark me the brainliest:)!!!
~ 234483279c20~
The number of right questions is 18
How to determine the right question?Let the number of right questions be x, and the wrong questions be y
So, we have the following equations
x + y = 25
4x - y = 65
Add both equations
5x =90
Divide both sides by 5
x = 18
Hence, the number of right questions is 18
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What is (u+2ax)(2u+2ax)
Answer:
2u^2 +6aux+4ax
Step-by-step explanation:
2u^2 because u×2u
2aux cuz u× 2ax
4aux cuz 2ax×2u
4ax. cuz 2ax time 2ax
The multiplication of the binomials (u+2ax)(2u+2ax) can be solved using the FOIL method. The steps result in 2u^2 + 2uax + 4uax + 4a^2x^2. Combining like terms yields the final answer: 2u^2 + 6uax + 4a^2x^2.
Explanation:The problem (u+2ax)(2u+2ax) is a mathematical multiplication of two binomial expressions. You may solve it by applying the distributive property, also known as the FOIL method (First, Outer, Inner, Last). Let's walk through the steps to solve it:
First: Multiply the first terms in each binomial. u * 2u = 2u^2. Outer: Multiply the outer terms, which are u and 2ax. u * 2ax = 2uax. Inner: Multiply the inner terms, which are 2ax and 2u. 2ax * 2u = 4uax. Last: Multiply the last terms of each binomial. 2ax * 2ax = 4a^2x^2.Then, add these results together: 2u^2 + 2uax + 4uax + 4a^2x^2. Combine like terms to get the final answer: 2u^2 + 6uax + 4a^2x^2.
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2 Points
What is the point-slope form of a line with slope -5 that contains the point
(2,-1)?
O
O
O
O
A. y + 1 = -5(x - 2)
B. y-1 = 5(x + 2)
c. y- 1 = -5(x - 2)
D. y + 1 = 5(x + 2)
SUBMI
Answer:
A
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - 5 and (a, b) = (2, - 1), so
y - (- 1) = - 5(x - 2), that is
y + 1 = - 5(x - 2) → A
The point-slope form of a line with slope -5 that contains the point
(2,-1) is,
⇒ y + 1 = - 5 (x - 2)
Since, The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Here, Given that;
Slope = - 5
Point on line = (2, - 1)
Hence, The point-slope form of a line with slope -5 that contains the point
(2,-1) is,
⇒ y - y₁ = m (x - x₁)
⇒ y - (- 1) = - 5 (x - 2)
⇒ y + 1 = - 5x + 10
⇒ y =- 5x + 10 - 1
⇒ y = - 5x + 9
Thus, The point-slope form of a line with slope -5 that contains the point
(2,-1) is,
⇒ y + 1 = - 5 (x - 2)
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Which point is located at (4,-5)?
1. A
2. B
3. C
4. D
Answer:
it is C
Step-by-step explanation:
name a parallelogram that is neither a square, rhombus nor rectangle
With all due thinking...
I think a Diamond shape will befit your answer. So; The real answer is "Rhomboid"
The reason is that...
A rhomboid has four parallel sides. The opposite sides are equal, but the corners do not form right angles. Think of a rectangle that is slanted(a.k.a diamond) Thats what a Rhomboid is...
A parallelogram that dosent have equal sides is not a rhombus; and which dosent have Right angles are not rectangles and hence cannot be aquares either.
So in all Way a Rhomboid will mark the answer for your question.
Hope it helps..
Regards,
Leukonov/Olegion.
Answer;
TRAPEZOID
Step-by-step explanation:
Solve the matrix equation for X.
See the attached picture:
Answer:
[tex]\large\boxed{\left[\begin{array}{ccc}-2&11\\-1&10\end{array}\right]}[/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}8&-7\\1&-5\end{array}\right] +X=\left[\begin{array}{ccc}6&4\\0&5\end{array}\right]\\\\\left[\begin{array}{ccc}8&-7\\1&-5\end{array}\right] -\left[\begin{array}{ccc}8&-7\\1&-5\end{array}\right]+X=\left[\begin{array}{ccc}6&4\\0&5\end{array}\right] -\left[\begin{array}{ccc}8&-7\\1&-5\end{array}\right]\\\\X=\left[\begin{array}{ccc}6-8&4-(-7)\\0-1&5-(-5)\end{array}\right]\\\\X=\left[\begin{array}{ccc}-2&11\\-1&10\end{array}\right][/tex]
find the distance between A(2,3,5) and B(6,7,-2)
(pictures of the answer above)
Answer:
I think it's B (Sorry if im wrong)
Which is the equation of the given line?
x = -7y
x = 7
y = -7x
y = -7
Answer:
x= -7y
Step-by-step explanation:
Your answer would be x= -7y. Hope this helps!!
This equation represents the given horizontal line is y = - 7. the correct option is d.
To find the equation of the line passing through the points (-10, -7) and (3, -7), we can use the point-slope form of a linear equation:
The point-slope form is given by: y - y₁ = m(x - x₁)
where (x₁, y₁) are the coordinates of one of the points on the line, and m is the slope of the line.
First, let's calculate the slope (m) using the two points:
m = (change in y) / (change in x)
m = (-7 - (-7)) / (3 - (-10))
m = 0 / 13
m = 0
Now, we have the slope (m = 0), and we can choose either of the given points to plug into the equation. Let's use the point (-10, -7):
y - (-7) = 0(x - (-10))
y + 7 = 0
Now, we can simplify the equation:
y = -7
So, the equation of the line passing through the points (-10, -7) and (3, -7) is y = -7. This equation represents a horizontal line at y = -7, as the slope is 0.
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How can you tell whether or not a question is a statistical question?
A statistical question is one for which you don't expect to get a single answer. Instead, you expect to get a variety of different answers, and you are interested in the distribution and tendency of those answers. For example, "How tall are you?" is not a statistical question. But "How tall are the students in your school?" is a statistical question.
I am trying to find the next number in this number sequence and I dont know how! its like this, 2,9,37,149,597,2389, ... whats the next number?
[tex]\bf 2~~,~~\stackrel{2(4)+1}{9}~~,~~\stackrel{9(4)+1}{37}~~,~~\stackrel{37(4)+1}{149}~~,~~\stackrel{149(4)+1}{597}~~,~~\stackrel{597(4)+1}{2389}~~,~~\boxed{\stackrel{2389(4)+1}{9557}}[/tex]
help me plz and god bless :/
Upper quartile would be 4.5. The interquartile range could be 6.
Mathematics probability
Do you have a specific question or something like that which you need answering?
Brian makes a 5,000 down payment on a car if he needs to pay $300 a month for the next 48 months how much will he pay for the car
Answer:
car cost 19400
Step-by-step explanation:
y = 5000 + 300*m where m is the number of months.
m = 48
y = 5000 + 300*48
y = 5000 + 14400
y = 19400
The cost of the car is 19400
Answer:
14,400 because if you multiply 300 and 48 because thats what he has to pay for the car and how long he has making that same payment
Then you add 5000 for the total payment because thats the car paid in full
* Therefor, the answer is 14,400
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3 pizzas are shared equally between 10 people. What fraction of a pizza does each person receive?
Show your work, please!
Answer:
3/10 fraction of a pizza is received by each person.
Step-by-step explanation:
3 pizzas are shared among 10 people. We need to find the fraction of pizza each person receive.
No of pizzas = 3
Total People sharing = 10
Each person receive pizza = No of pizzas/ Total People sharing
= 3/10
3/10 fraction of a pizza is received by each person.
Answer:
dang
Step-by-step explanation:
2 years ago
The expression x2 – 25 is equivalent to which of the following expressions
The equivalent expression would be,
⇒ (x - 5) (x + 5)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ x² - 25
Now, We can simplify as;
⇒ x² - 25
⇒ x² - 5²
⇒ (x - 5) (x + 5)
Thus, The equivalent expression would be,
⇒ (x - 5) (x + 5)
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Final answer:
The expression x²- 25 is a difference of squares and can be factored into (x - 5)(x + 5), which is the product of two binomials.
Explanation:
The expression x²² – 25 can be factored into a product of two binomials because it represents a difference of squares. A difference of squares is a specific type of polynomial that takes the form a²– b², which can be factored into (a – b)(a + b). In the case of x² – 25, we can identify a as x and b as 5 since 52 equals 25.
Therefore, we can factor the expression x² – 25 into:
(x – 5)(x + 5)
This utilizes the factoring technique, which is a crucial algebraic skill for simplifying expressions and solving equations.
The constant of proportionality for the amount of electricity in kilowatt hours and the cost per kilowatt hour is $0.11. Which graph models this situation?
Answer:
The answer I beleive is actually A because if you divide the x value by the y-value it gives you 0.11 and no other graph gives you that exact amount dividing either y or x values
Step-by-step explanation:
Sorry for being so late lol
The answer is, electticity cost.
What is graph in math definition?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.What is graph explain with example?A graph is a common data structure that consists of a finite set of nodes (or vertices) and a set of edges connecting them. A pair (x,y) is referred to as an edge, which communicates that the x vertex connects to the y vertex. In the examples below, circles represent vertices, while lines represent edges.Why do we use graphs?Graphs and charts are effective visual tools because they present information quickly and easily. It is not surprising then, that graphs are commonly used by print and electronic media. Sometimes, data can be better understood when presented by a graph than by a table because the graph can reveal a trend or comparison.Learn more about graphs here:
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Lisa bought a tank for her hermit crab. The tank can hold 1,331 cubic inches of water and includes a top. The base fo the aquarium is a square. The height of the aquarium is 11 inches. a. What is the length of each side of the base of the tank
Answer:
11 in
Step-by-step explanation:
All we care about here is volume, not area. So the top is irrelevant.
The volume of a rectangular tank with a square bottom, b, and height, h, is
V = b²h = 1,331 in³ 1,331 in³
Then b² = area of the base = ---------------- = 121 in²
11 in
The square of the length of any one side of the base is 121 in².
Taking the square root of this yields 11 in.
The length of each side of the base is 11 in.
Khaled and Wilma were asked to find an explicit formula for the sequence 1, 3, 9, 27. Khaled said the formula is f(n)=1*3^n-1 and Wilma said the formula is f(n)=1*3^n. Which one of them is right?
ANSWER
[tex]f(n) = 1 \times ( {3}^{n - 1} )[/tex]
EXPLANATION
The given sequence is 1, 3, 9, 27...
The first term of this sequence is
[tex]a = 1[/tex]
The common ratio is
[tex]r = \frac{3}{1} = \frac{9}{3} = \frac{27}{9} = 3[/tex]
The explicit formula for this geometric sequence is
[tex]f(n) = a ( {r}^{n - 1} )[/tex]
We substitute the first term and the common ratio to obtain,
[tex]f(n) = 1 ( {3}^{n - 1} )[/tex]
Answer:
khaled is correct. f(n)=1x3^n-1
Step-by-step explanation:
What is the value of x?
Answer:
do you have any more information to solve this ?????????
Step-by-step explanation:
what is the actual equation it goes with??
HELP ME! DUE IN 5 MINUTES!
A group has an equal number of adults and children. When n oranges are given to the group, each adult gets two oranges while each child gets one orange and there are still 5 oranges left. Write an algebraic expression for the number of oranges given to the adults.
Answer:
Adults are given =
2n oranges
2n+n=once given
so
Step-by-step explanation:
The algebraic expression for the number of oranges given to adults in a group with an equal number of adults and children, with a specified distribution of oranges and a remainder, is 2A, where A represents the number of adults (or children, since they are equal).
Explanation:The question requires us to find an algebraic expression for the number of oranges given to the adults in a group where there are an equal number of adults and children, and a specific distribution of oranges to adults and children with a remainder.
Let's denote the number of adults by A, and thus, the number of children will also be A since the group has an equal number of adults and children. If n oranges are distributed, and each adult receives 2 oranges, then the total number of oranges given to adults is 2A. Each child receives one orange, so the number of oranges given to children is A. Including the 5 oranges that are left, the equation representing the total number of oranges is: 2A (for adults) + A (for children) + 5 (leftover) = n (total oranges).
From this equation, if you want to isolate the expression that represents the number of oranges given to adults, it is simply 2A.
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10. Which of the following is a linear equation?
a. 4x² +9y2 = 25
b. 2+ 6 = 15
C. 2x-3y=7
d. 4x+6 = 30
Answer:
C.
Step-by-step explanation:
It is linear because it have two variables (x and y) and the highest powers that they are raised to are 1
For this case we have that by definition, a linear equation is of the form:
[tex]ax + b = 0[/tex]
That is, the largest exponent of the variable is 1.
Then, according to the options given, we have that the correct option is option D, that is:
[tex]4x + 6 = 30[/tex]
Answer:
Option D
A
D
Given: _1= _2
If AC = 3, BC =5, and AB= 7, find AD
Using proportional relationships in similar triangles ABC and AED, the length of AD is calculated to be approximately 11.67.
Explanation:In order to calculate the length of AD, we should first understand that given ΔABC is similar to ΔAED, and given lengths AC = 3, BC = 5, and AB = 7, the scale factor of ABC to AED is based on any of the corresponding dimensions. Here, _1 corresponds to BC(_2) in terms of proportions. Therefore _1(BC)/_1(AC) = _2(BD)/_2(AD). As we know the values of BC and AC, the equation becomes 5/3 = AD/7. Solving this for AD, we get AD = (7 * 5) / 3 = 35/3 = approx 11.67.
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what is the value of the inequality?
n+7 <5
Hello there! n < -2.
Solve for n. To do this, you want to get all other terms on the other side of the equation. The only other term is 7 in this case, so subtract 7 from both sides of the equation.
n +7-7< 5-7
n < -2
This is your final answer! I hope this helps and have a great day!
Answer:
The solution is n<-2
Step-by-step explanation:
The given inequality is:
n+7 <5
We solve this inequality by adding -7 to both sides of the inequality:
n+7 +-7<5+-7
We simplify to get:
n+0<5-7
this finally gives us:
n<-2
The solution is n<-2
3/8(2x-8/3x)=21 solve the equation for x
Answer:
[tex]\boxed{\bold{x=-84}}[/tex]
Explanation:
Multiply Both Sides By 8:
= [tex]\bold{8\cdot \frac{3}{8}\left(2x-\frac{8}{3}x\right)=21\cdot \:8}[/tex]
Simplify:
= [tex]\bold{-2x=168}[/tex]
Divide Both Sides By -2:
= [tex]\bold{\frac{-2x}{-2}=\frac{168}{-2}}[/tex]
Simplify:
= [tex]\bold{x=-84}[/tex]
//Mordancy //.
X= -84 this would be your answer also use photomath :)
A store is having a sale on walnuts and chocolate chips. For 3 pounds of walnuts and 2 pounds of chocolate chips, the total cost is $13. For 8 pounds of walnuts and 4 pounds of chocolate chips, the total cost is $33. Find the cost for each pound of walnuts and each pound of chocolate chips .
Final answer:
By setting up and solving a system of linear equations, we find that walnuts cost $3.50 per pound and chocolate chips cost $1.25 per pound.
Explanation:
The question involves using a system of two linear equations to find the cost per pound of walnuts and chocolate chips. We can define w to be the cost of one pound of walnuts and c to be the cost of one pound of chocolate chips. From the information given, we can set up the following two equations:
3w + 2c = 13
8w + 4c = 33
To solve these equations, we can use either substitution or elimination. Let's use elimination:
Multiply the first equation by 2 to align the coefficients of c. This gives us: 6w + 4c = 26.
Now, subtract the newly obtained equation from the second one: (8w + 4c) - (6w + 4c) = 33 - 26, which simplifies to 2w = 7.
Divide both sides by 2 to find w: w = 7/2, so w = $3.50 per pound for walnuts.
Substitute the value of w back into the first equation: 3(3.50) + 2c = 13. Therefore, 10.50 + 2c = 13.
Subtract 10.50 from both sides to find c: 2c = 2.50.
Divide both sides by 2 to get: c = 2.50 / 2, so c = $1.25 per pound for chocolate chips.
Therefore, walnuts cost $3.50 per pound and chocolate chips cost $1.25 per pound.