The point (3 , k) is a distance of 5 units from (0 , 1). Find the two possible values of k.
Answers
......._____________
5 =√(3-0)^2 + (k-1)^2
.......__________
5 =√3^2 + (k-1)^2
25 = 9 + (k-1)^2
16 = k^2 - 2k + 1
k^2 -2k - 15 = 0
(k - 5)(k + 3) = 0
k - 5 = 0.....or.......(k + 3) = 0
k = 5.........or.......k = -3
Related Questions
A cell phone company charges 45 per month and additional 0. $.24 for each text message sent during the month I know the cell phone company cellular plus charge 65 per month and additional 0.23 for each text message sent during the month how many text message would have to be sent any month to make both plans cause the same call first charge 14 GB of data used each month cellular plus charges 10 per gigabyte of data used each month if you were to send nine teen33 text messages and use 3 GB of the data any month which plan will be better
Answers
Answer: the 1st plan
Step-by-step explanation:
help me please i need it
Answers
Answer:
198+3π
Step-by-step explanation:
Circle diameter:
\(d \: = 12\)
Circle Area:
\( 2cA \: = ( \frac{12}{2})^{2} \timesπ =6π\)
Semicircle Area:
\( cA = \frac{6π}{2} = 3π\)
Parallelogram Area:
\( pA = 9 \times 22 = 198\)
Total Area:
\( tA = 198 + 3π\)
PLEASE HELP ME SOLVE THIS
Answers
416 square feet
\(\bold{EXPLANATIONS:}\)
Ben and his housemates signed a lease for an apartment for 12 months for $563 per month of which Ben agreed to pay $215 per month. Which of the following statements best gives the reasons that Ben’s rent payment is an essential (fixed) expense?
a.
It cannot be eliminated in a later budget, in order to save money.
b.
Living expenses have a higher priority than any other type of expense.
c.
The spender controls the amount of the rent by choice of apartment.
d.
He agreed to pay the same amount every month.
Answers
Answer:
this is late but it's d :))
Step-by-step explanation:
The statement that best gives the reasons that Ben's rent payment is an essential (fixed) expense is,
D. it is by contract the same amount every month.
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;
Ben and his housemates signed a lease for an apartment for 12 months for $563 per month of which Ben agreed to pay $215 per month.
Since, this is his rent, the amount of money that he is legally bound to pay every month in order to keep on living in that location.
He has an agreement with his landlord to pay $215 each month and thus he has to do it.
Thus, The statement that best gives the reasons that Ben's rent payment is an essential (fixed) expense is,
D. it is by contract the same amount every month.
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Raju and Tom had the same amount of money at first.
After Raju spend $2590 and Tom Spent $320, Tom had 6 times as much money as Raju.
How much did Raju have at first?
2590
Solve using model
Answers
Answer:
Money Raju have at first = $3,008
Step-by-step explanation:
Assume;
Raju and Tom money = a
Given:
Money Raju spends = $2,560
Money Tom spends = $320
Computation:
Money Raju had = a - 2,560
Money Tom had = a - 320
So,
6[a - 2,560] = a - 320
6a - 15,360 = a - 320
5a = 15,040
a = 3,008
Money Raju have at first = $3,008
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
Answers
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Two vacationing families leave New York at the same time. They take 20 and 6 days, respectively, to reach their destination and return to New York. The vacationing families each take continuous trips to and from New York. How many days will pass before the two vacationing families leave New York on the same day again?
Answers
Answer:
Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls
Write an equivalent fraction with a denominator of 10
1/2 = ?/10
Answers
Answer:
5/10
Step-by-step explanation:
An equivalent fraction will have the numerator and denominator multiplied by the same value.
ApplicationThe denominator of 2 must be multiplied by 5 to get a denominator of 10. Then the equivalent fraction is ...
\(\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{5}=\dfrac{1\cdot5}{2\cdot5}=\boxed{\dfrac{5}{10}}\)
Four scenarios of statistical studies are given below. Decide which study uses a population parameter. A) Lakeside Family Dentistry reported that 6 of the 15 patients who came in for a regular cleaning one day had at least one cavity.
B) In 2001, 78% of children diagnosed with cancer were in remission after five years, and this number is improving. As part of her senior project, Kaisa asked 84 of her classmates if they voted in the
C) last presidential election. 39 said yes. D) 15% of the attendees at a town council meeting in a rural area reported not using the internet on a daily basis
Answers
The percentage of children with cancer who enter remission after five years is the variable being measured. This proportion is typical of all the youngsters who have been given a cancer diagnosis.
What is probability?Calculating the chance that an event will occur or a statement will be true is the subject of probability theory, a branch of mathematics. A risk is a number between 0 and 1, where 1 denotes certainty and a probability of about 0 denotes the likelihood that an event will occur. The likelihood that an event will take place is mathematically expressed as probability. Probabilities can also be expressed as percentages ranging from 0% to 100% or as integers between 0 and 1. the proportion of equally plausible possibilities that actually happen in relation to all possible outcomes when a certain event occurs.
B) In 2001, 78% of children with cancer were in remission after five years, and this percentage is rising. This analysis employs a population parameter. The percentage of children with cancer who enter remission after five years is the variable being measured. This proportion is typical of all the youngsters who have been given a cancer diagnosis.
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How many monthly payments must be made for a 2 1/2 -year loan?
Answers
HELPPPPPP!!! PLEASEEE!!!
Given a ⊥ c and b ⊥ c, what can you say about a and b?
A. a ⊥ b, because if two lines are perpendicular to the same line, then they are perpendicular to each other.
B. a and b form a straight line, because if two lines are perpendicular to the same line, then they form a straight line.
C. a and b are intersecting lines because if two lines are perpendicular to the same line, then they are intersecting lines.
D. a || b, because if two lines are perpendicular to the same line, then they are parallel to each other.
Answers
Answer:
Answer is B.
Step-by-step explanation:
C is the middle line and A is on one side and B is on the other.
Hope it helps :)
Please help me what’s the answer
Answers
The simplified value of the given fractions is -11/12
What does division of fractions mean?
A fraction is divided into additional equal pieces when it is divided into fractions. For instance, if you had three-fourths of a pizza remaining and divided each slice into two pieces, you would have received six slices, which would be equivalent to six-eighths of the entire pizza.
Top expression = 5/8 + 3/4
= (5 + 6)/ 8 = 11/8 ( 8 is the lcm of 4 and 8 )
Bottom expression = -2/3 - 5/6
= (-4 - 5)/ 6
= -9/6 = -3/2
Top expression/ Bottom expression = (11/8)/ (-3/2 )
= - (11/8) * (2/3)
= -11/12
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Which statements are true about exponential functions? Check all that apply.
Answers
Answer:
The answer is A
Step-by-step explanation:
its a multiple answer choice. so A , D
Give a pair of corresponding angles, a pair of alternate interior angles, and a pair of alternate exterior angles.
Answers
A pair of corresponding angles, alternate interior angles, and alternate exterior angles include the following:
Corresponding angles: ∠1 ≅ ∠5.
Alternate interior angles: ∠4 ≅ ∠6.
Alternate exterior angles: ∠2 ≅ ∠8
What are corresponding angles?In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines:
∠1 ≅ ∠5
By applying the alternate interior angles theorem to parallel lines m and n, we have the following congruent angles:
∠4 ≅ ∠6
By applying the alternate exterior angles theorem to parallel lines m and n, we have the following congruent angles:
∠2 ≅ ∠8
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A store pays $40 for a handbag and marks the price up by 50%. What is the amount of the mark-up?
Answers
Answer: The amount of the mark up is 20$
Step-by-step explanation:
find 50 percent of the 40
50 percent is the same as 0.5
0.5*40=20
What are two pairs of opposite sides that are parallel and congruent?
Answers
Parallelogram have two pairs of opposite sides that are parallel and congruent.
In a parallelogram, two pairs of opposite sides are parallel and congruent. A parallelogram is a quadrilateral with opposite sides that are parallel and congruent. Therefore, any pair of opposite sides in a parallelogram satisfies the criteria of being both parallel and congruent.
For example, let's consider a parallelogram ABCD:
Side AB is parallel and congruent to side CD.Side AD is parallel and congruent to side BC.These two pairs of opposite sides, AB and CD, and AD and BC, are parallel (they never intersect) and congruent (they have the same length).
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Match each rational number to its equivalent decimal expansion
Answers
7/9 - 0.7 repeating
7/10 - 0.7
7/8 - 0.875
7/15 - 0.46 repeating
The rational number to its equivalent decimal expansion is shown in the figure 2.
Concept to be used
To convert any fraction into a decimal, we have to divide the numerator by its denominator.
How to convert fractions into decimals?In the figure 1, we can see that all the rational number is in fraction and we know that to convert any fraction, we have to divide the numerator by its denominator.
Thus we will divide the numerator by its denominator in each rational number.
First, we will divide \(7/9\), we will get \(0.777777....\) or \(0.\overline{7}\).
Second, we will divide \(\frac{7}{15}\), we will get \(0.4666666.....\) or we can say it as \(0.4\overline{6}\).
Third, we will divide \(\frac{7}{8}\), we will get \(0.875\).
Fourth, we will divide \(\frac{7}{10}\), we will get \(0.7\).
So, the rational number to its equivalent decimal expansion is shown in the figure \(2\).
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do you know the answer
Answers
Answer:
The answer is 15.
Other:
Brainliest? Thanks!
HELP PLEASEEEEEEEEEEE
Answers
Answer:
Which one is at the bottom? if the one at the bottom is 0 then the answer is 0. If its not then its related to pemdas or something else
Step-by-step explanation:
Answer:
? = 4
4 is the answer
Step-by-step explanation:
heart = 21
rainbow = 7
unicorn horn = 9
so, we have
heart + rainbow + rainbow = 35
21 + 7 + 7 = 35
heart + unicorn horn + rainbow = 37
21 + 9 + 7 = 37
rainbow + unicorn horn + unicorn horn =25
7 + 9 + 9 = 25
unicorn horn + unicorn horn + rainbow - heart = ?
9 + 9 + 7 - 21 = 4
Which expression represents the phrase below?
3 fewer than a number, p
A. 3-P B. p=3
3p
C. 3:p
D. p-3
Answers
Answer:
d) p - 3
3 fewer than menas you need to subtract 3
Step-by-step explanation:
The expression represents the phrase “3 fewer than a number, p” is (p-3).
Given
Expression; the phrase: “3 fewer than a number, p”
What is the phrase?
A small group of words standing together as a conceptual unit, typically forming a component of a clause:
The given number is p which is smaller than a number which is 3.
Expression; the phrase: “3 fewer than a number, p”
Then,
The expression represents the phrase is;
Hence, the expression represents the phrase “3 fewer than a number, p” is (p-3).
A point lies in the _____ of an angle if it lies between the rays that form the angle. *
Answers
Answer:
I believe it is the vertex, of an angle.
Step-by-step explanation:
It is the vertex, because that is what you would call the bottom point of an angle.
An angle is a figure created by two rays, known as the angles' sides, that share a common terminus, known as the angle's vertex. A point lies in the interior of an angle if it lies between the rays that form the angle.
What is an angle?An angle is a figure created by two rays, known as the angles' sides, that share a common terminus, known as the angle's vertex. Angles created by two rays are located in the plane containing the rays. Angles are also generated when two planes intersect. These are known as dihedral angles.
An angle has two rays and the area that lies between the two rays is known as the interior of the angle, while the area that is not between the two rays is the exterior of the angle.
Therefore, A point lies in the interior of an angle if it lies between the rays that form the angle.
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write the number with the same value as 28 tens..
Answers
Answer:
280 ones
Step-by-step explanation:
Answer:
280
Step-by-step explanation:
The value of 28 ten is 280 because ur adding ten to the number tht u have
need as soon a posible within 2 minutes enjoy your points
Answers
Answer:
(x+6)^2+(y-7)^2= 29
Step-by-step explanation:
general exqn-> (x-h)^2+(y-k)^2=(r)^2
here, h= -6 and k=7
r= √ 29
Therefore, exqn of circle=
(x+6)^2+(y-7)^2= 29
Answer:
(x + 6)² + (y - 7)² = 29
Step-by-step explanation:
the equation of a circle in standard form is
(x - h )² + (y - k )² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then
(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is
(x + 6 )² + (y - 7 )² = 29
The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -8 < x < -3
Answers
Average rate of change of the function is [f(-3) - f(-8)] / 5.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
We have to find the average rate of change of the function f(x) on the interval -8 < x < -3.
Average rate of change of a function y = f(x) on an interval [a, b] is,
Average rate of change = [f(b) - f(a)] / [b - a]
Here a = -8 and b = -3.
Average rate of change = [f(-3) - f(-8)] / [-3 - -8]
= [f(-3) - f(-8)] / 5
We have to find the value of y when x = -3 and x = -8 and substitute in the equation.
Hence [f(-3) - f(-8)] / 5 is the average rate of change of function.
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helppp me please will give brainliest
Answers
Answer:
y=-2x+11
Step-by-step explanation:
what is the difference between a linear functuon and nonlinear function
Answers
Answer:
In mathematics, a function is a rule that assigns one unique output value for each input value. A linear function is a function that has a constant rate of change between its input and output values. This means that if we plot the function on a graph, it will form a straight line.
For example, the function f(x) = 2x + 1 is a linear function because its graph is a straight line. As x increases by 1, the output of the function increases by 2.
On the other hand, a nonlinear function is a function that does not have a constant rate of change between its input and output values. This means that if we plot the function on a graph, it will not form a straight line.
For example, the function f(x) = x^2 is a nonlinear function because its graph is a curve. As x increases, the output of the function increases at an increasing rate.
In general, nonlinear functions can take many different forms and can have complex behaviors, whereas linear functions have a simple, predictable behavior.
How much time will have elapsed from 2:37 to 3:19
Answers
Answer:
42min would have elapsed
Step-by-step explanation:
2:37-2:40 (3 min)
2:40-3:00 (20 min)
3:00-3:19 (19 min)
HELP PLEASE I AM SO STUCK AND CONFUSED
Answers
Answer:
5 2/3 inStep-by-step explanation:
Circumference equation:
C = 2πrSubstitute the values of C and π, then solve for r:
35 13/21 = 2*22/7*r21(35 + 13/21) = 21*44/7r735 + 13 = 132r748 = 132rr = 748/132r = 5 2/3 inFind the perimeter of this shape
Answers
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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On a piece of paper, graph y<-3/4x+2. Then determine which answer choice
matches the graph you drew.
Answers
The graph of the linear inequality is given by the image presented at the end of the answer.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The function for this problem is given as follows:
y = -3x/4 + 2.
Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.
The inequality is given as follows:
y < -3x/4 + 2.
Meaning that points below the dashed line are the solution to the inequality.
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