find the k-value so that the point is on the line
kx+3y=7; (1,-k)
Answers
Answer:
k = -7/2
Step-by-step explanation:
You want the k-value so that the point (1, -k) is on the line kx+3y=7.
EquationThe point will be on the line when its coordinates make the equation true. Using (x, y) = (1, -k), we have ...
k(1) +3(-k) = 7
-2k = 7 . . . . . . . . simplify
k = -7/2 . . . . . . . divide by -2
The value of k = [tex]\frac{-7}{2}[/tex] so the point is on the line kx+3y=7
what is line?A line is an endlessly long object without breadth, depth, or curvature in geometry. Thus, despite the fact that they can exist in two, three, or higher dimensional environments, lines are one-dimensional things. The term "line" can also refer to a line segment that has two locations that serve as its ends in daily life.
given
the point of the line = ( 1 ,-k )
the line = kx + 3y = 7
the coordinates make the equation true when its points are on the line
so putting the values of x and y in equation of line
k( 1 ) + 3 ( -k ) = 7
k - 3k = 7
-2k = 7
k = [tex]\frac{-7}{2}[/tex]
The value of k = [tex]\frac{-7}{2}[/tex] so the point is on the line kx+3y=7
To know more about line visit:-
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Related Questions
Find both the number of combinations and the number of permutations for the given number of objects.
15 objects taken 7 at a time
Answers
Answer:
First, if we have a set of K elements, such that are ordered as:
{x₁, x₂, ...}
The total number of permutations for the K elements can be found in the next way.
For the first element in the set, we have K options.
For the second element in the set, we have (K - 1) options (because we already choose one)
For the third element we have (K - 2) options, and so on.
The total number of permutation is equal to the product between the numbers of options for each position's element, then the number of permutations for K elements is:
permutations = K*(K - 1)*(K - 2)*....*2*1 = K!
Now suppose that we have a set of N elements, and we want to make groups of K elements.
The total number of different combinations of K elements is given by the equation:
[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]
In this case we have 15 objects (then N = 15) and we take 7 at the time (Then K = 7)
Where we need to take in account the number of combinations and also the permutations for each combination.
Then the total number of different sets is:
C(15*7)*7!
First, the total number of combinations will be:
[tex]C(15,7) = \frac{15!}{(15 - 7)!7!} = \frac{15!}{8!*7!} = \frac{15*14*13*12*11*10*9}{7*6*5*4*3*2*1} = 6,435[/tex]
So we have 6,436 combinations, and each one of these combinations has 7! permutations.
permutations = 7! = 7*6*5*4*3*2*1 = 5,040
if we combine these we get:
Combinations*Permutations = 6,435*5,040 = 32,432,400
Answer:
7
Step-by-step explanation:
A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. Thecompany collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim.
The test yielded a t -value of 3.34 with a corresponding p -value of 0.001. Which of the following is the correct interpretation of the -value?
a. If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001.
b. If the null hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001.
c. If the null hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001This answer is incorrect.
d. If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001.
e. If the null hypothesis is true, the probability of observing a test statistic of 3.34 is 0.001.
Answers
Answer:
C
Step-by-step explanation:
The test produced, a t-value of 3.34 and a p-value of 0.001 as a result. The possibility of seeing a test statistic at least as extreme as 3.34 is 0.001; the proper reading of the p-value is different if the alternative hypothesis is true.
Probability calculation:p-value = 0.001
t = 3.34
Whether the alternative theory is true because there is a 0.001, and the possibility of showing testing statistics as extreme as 3.34.The p-value indicates that since the Null-hypothesis is true, there is a 0.001 chance of seeing a test statistic at least as extreme as 3.34.Therefore, the final answer is "Option d".
Find out more information about the p-value here:
brainly.com/question/14723549
If the perimeter of the triangle is 95 inches, what is the length of each side? n, 3n+8, and 4n+7.
Answers
Answer:
10, 38, 47
Step-by-step explanation:
The perimeter is the sum of the side lengths:
95 = n +(3n +8) +(4n +7)
80 = 8n . . . . . . subtract 15
10 = n
3n+8 = 3(10) +8 = 38
4n+7 = 4(10) +7 = 47
The lengths of the sides of the triangle are 10, 38, 47.
HELp! WILL GIVE BRANLIEST
Answers
Answer:
330
Step-by-step explanation:
What is the square root of pie?
Answers
Answer:
The square root of Pi is approximately 1.77245.
Step-by-step explanation:
Answer:
About 1.77245.
Check all statements that are true.
a. Adding two integers and then taking the remainder produces the same result as taking their remainders first, then adding them, and then applying the remainder operation once more.
b. Saying that a divides b is the same as saying that b is a multiple of a.
c. Adding two integers and then taking the remainder produces the same result as taking their remainders first and then adding them.
d. When you perform division by 5 with remainder, the remainder is an integer from -5 to 5.
e. If an integer a divides a product of two integers b and c, then a must divide b or a must divide c.
f. If an integer divides two numbers, it also divides their difference.
g. If an integer divides two numbers, it also divides their sum.
h. When you perform division by 3 with remainder, the remainder is one of the integers 0,1,2.
i. If a and b are positive integers, and a = bq + r is the decomposition of a given by the division algorithm, then q can be found as the floor of a/b, and then r can be found as r = a - bq.
j. If an integer a divides an integer b, then a also divides any multiple of b.
Answers
Answer:
a. True
b. True
c. False
d. False
e. False
f. True
g. True
h. True
i. True
j. True
Step-by-step explanation:
When the integer divides the two number then their sum is also divisible by that integer. This is also the case in the subtraction when two number are divisible then their difference is also divisible. When there is division by 5 the number not necessarily can be 5 or -5. This statement is not correct.
A rectangular flower garden in Samantha's backyard has 140 feet around its edge. The width of the
garden is 30 feet.
What is the length of the garden?
The length of the garden is
feet.
Answers
Answer:
40 feet
Step-by-step explanation:
140=2×(30+x) /:2
70=30+x /-30
40=x
Find the slope of the line graphed.
A) -4/5
B)-5/4
C)4/5
D)5/4
Have to use photo to solve.
Answers
Answer:
The answer is -4/5 C
Step-by-step explanation:
solve the equestion 2x³+3x²_3x=2
Answers
Answer:
2
Step-by-step explanation:
For Example, To complete the square when a is greater than 1 or less than 1 but not equal to 0, factor out the value of a from all other terms.
For example, find the solution by completing the square for:
2x2−12x+7=0
a≠1,a=2 so divide through by 2
22x2−122x+72=02
which gives us
x2−6x+72=0
The ration of girls to boys is 7:8. If there are 140 girls, how many boys are there?
Answers
Answer:
160
Step-by-step explanation:
140 divided by 7 equals 20, then you times the answer by 8, which you get 160.
Chow do I solve 6w - 6 = 54
Answers
Answer:
w = 10
Step-by-step explanation:
6w - 6 = 54
6w = 54 + 6
6w = 60
w = 60/6
w = 10
Are these ratios equivalent?
28 strikes : 36 balls
7 strikes : 9 balls
Answers
Answer:
yes
Step-by-step explanation:
the ratio of 28 : 36 can be simplifeid by dividing both sides of the ratio by 4.
28/4=7
36/4=9
so the ratio of 28 : 36 is equal to 7 : 9
6/8 is equal to 15/ what? NEED HELP ASAP PLZ will choose brainliest
Answers
Answer:
No
Step-by-step explanation:
It is not equel
explanation:
not equal
I’m stuck on this problem helpp
Answers
In order to play on the 7th grade basketball team you must buy a team uniform. Last year a uniform cost $40, but this year a uniform cost $48. What is the percent of change?
Show your work here:
INCLUDE ANSWER AND TY
Answers
Answer:
20%
Step-by-step explanation:
The uniform cost $8 more than last year.
Last year was $40
Find what percent of 40 is 8.
8/0.4 = 20
the percent change is 20%
Find the values of the variables and the lengths of the sides of the kite.
Answers
Answer: since you didnt answer mine.
Step-by-step explanation:
find the difference of 13 2/5 and 3 3/4
Answers
Answer:
9 13/20
Step-by-step explanation:
alex, bella, cara share £90; work how much each of them have if:
alex has £x
bella has 3 times as much as alex
cara has £10 less than alex
Answers
Step-by-step explanation:
given,
alex = x
bella = 3x
cara = x - 10
and also given,
[tex]x + 3x + (x - 10) = 90 \\ x + 3x + x - 10 = 90 \\ 5x - 10 = 90 \\ 5x = 90 + 10 \\ 5x = 100 \\ x = 100 \div 5 \\ = 20[/tex]
Given x = £20,
Alex = £x = £20
Bella = £3x = £3x20 = £60
Cara = £(x-10) =£(20-10) =£10
HELP! PLZ I need to show work too .
-12.5 - (-12)
Answers
Answer:
-0.5
Step-by-step explanation:
-12.5 - (-12) = -12.5 + 12 (because you distribute the minus sign). Then, when adding you get - 0.5
Answer:
-0.5
Step-by-step explanation:
-12.5-(-12)
-12.5 + 12
-0.5
find the area of the polygon to the nearest square inch
Answers
9514 1404 393
Answer:
120 square inches
Step-by-step explanation:
The formula for the area is ...
A = (1/2)Pa
where P is the perimeter and 'a' is the apothem. The perimeter of this octagon is 8 times the side length.
A = (1/2)(8×5 in)(6 in) = 120 in²
The area of the octagon is 120 square inches.
If DC is about 12 units, what other length(s) can you determine? Please don’t put a link as an answer.
Answers
Answer:
How is DC 12 units if all the sides are congruent and AB clearly states that it is 9 units long?
Doesnt make sense
What were the
prominent primary, secondary and tertiary effects the disaster brought?
Answers
Tell what whole number you can substitute for x in the following list so the numbers are ordered from least to greatest. 1/x, x/5,70%
Answers
Answer:
hmmm................chupapu
A student determined the value of x as shown. Explain the students error. (Click on photo and NO ABSOLUTELY NO LINKS)
Answers
Answer:
Answer is in the link below- jkjk
Step-by-step explanation:
It's a right angle so it can only add to 90 degrees, not 180
When you need a fraction of a number, likeſ of 9, how do you find out how much you need?
A
You add the fraction to the number.
B
You subtract the fraction from the number.
с
You divide the number by the fraction.
D
You multiply the number by the fraction,
Answers
Answer:
D) Multiply
Explanation:
The word "of" usually means you multiply.
what is the slope of the following equation y = -1/2x + 4
Answers
Answer:
the slope is -1/2
Step-by-step explanation:
PLEASE HELP!!!
FIRST ONE TO ANSWER GETS BRAINLEST!!!
Which graph represents the solutions of the inequality k > 11?
Answers
Answer:
B)
Step-by-step explanation:
k > 11
Since the sign is > that means it's an OPEN circle
Since the sign is > that means it's going to the RIGHT
Miles takes a 350-mile round-trip flight to visit his parents. To qualify for Gold status at Awesome
Airlines, one must fly at least 7700 and less than 12600 miles each year. How many times would Miles
need to visit his parents each year to attain Gold status? Express your answer in interval notation.
Answers
Answer:
Miles must travel a minimum of 22 times and a maximum of 36 times to achieve Gold status.
Step-by-step explanation:
Given that Miles takes a 350-mile round-trip flight to visit his parents, and to qualify for Gold status at Awesome Airlines, one must fly at least 7700 and less than 12600 miles each year, to determine how many times would Miles need to visit his parents each year to attain Gold status, the following calculation must be performed:
7700/350 = X
22 = X
12600/350 = X
36 = X
Thus, Miles must travel a minimum of 22 times and a maximum of 36 times to achieve Gold status.
Find the measure of the angle indicated (x). Round to the nearest tenth Show your work to support your answer
Answers
Answer:
Karen, this type of question is such a tricky question, there is a lot of things that you just have to remember for these. Also, this type of question is asked a lot on brainly, you are in good company :P This also makes me wonder if math teachers are just REALLY BAD at teaching this.. hmmm Something is up with this type of problem b/c I have answer 100s of these type on here.. they are tricky. soooo...
Step-by-step explanation:
1st ,
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
with the above info, we can solve your triangle :P not meant to sound "wrong" .. anyway
look for the info you are given and what you want to find... and match that to one of the 3 formulas. after you've done this a few 100 times.. you'll just remember the above formulas. :D
sooo I see that we want to find that angle ∅ and we know two of the sides and that this is a right triangle.. which means we can use the above formulas on this triangle. So we know the adjacent side and the opposite side, to the angle, soo lets use TOA
Tan(∅) = Opp / Adj
Tan(∅) = 4 / 13
now the algebra gets a little tricky here.. but it's just using the inverse function of the Tan to find the angle .. it's just going backwards with the function is all.. nothing to see here... move along.. :D
take the inverse Tan function ( arcTan) on both sides... sooo
∅ = arcTan( 4 /13 ) ( this will find the angle, but make sure your calculator is set to degrees.. and not radians )
∅ = 17.1027...°
So, now we know that angle ∅
SOH CAH TOA is super helpful for this kind of triangle problem :)
I want to prove that (2tanx)/(sec^2x)=sin2x.
Answers
Answer:
Step-by-step explanation:
[tex]LHS = \frac{2 tan x}{Sec^{2} x}\\\\= 2tan x * \frac{1}{Sec^{2}x}\\\\= 2*\frac{Sinx }{Cos x}*Cos^{2}x\\\\= 2Sin x *Cos x\\= Sin 2x[/tex]