The values of k that will cause the system of equations to have no solution is; k = 7 and 21
We are given the simultaneous equations;
6x - 4y = 14
3x - 2y = k
Now, for both equations not to have a solution it means that x and y can't be made to be subjects.
Now, by inspection see see that the left hand side of the second equation when multiplied by 2 gives the left hand side of the first equation.
By implication, for both equations not to have a solution, k must also be multiplied by 2 to give 14.
Thus;
2k = 14
k = 14/2
k = 7
Also, since 21 is 1.5 multiplied by 14, it means that when we make 21 to be k, there will also be no solution.
Read more about simultaneous equations at;https://brainly.com/question/17671517
Answer:
-2, 5, 10, 21
A, B, D, E
If CD = 6 and the perimeter of ABC is 41, what is the perimeter of ABE?
Answer:
53.
Step-by-step explanation:
DE = CD = 6 ( as triangle ACE is isosceles so AD is the perpendicular bisector of CE.
Therefore CE = 12.
AB + BC + AC = 41 (given perimeter of ABC)
AB + BC + AE + 12 = perimeter of ABE.
But AE = AC ( given), so
AB + BC + AC + 12 = perimeter of ABE
Now we know that AB + BC + AC = 41 , so
41+ 12 = perimeter of ABE.
The area of a rectangular pool is 5628 m^(2). If the width of the pool is 67m, what is its length?
Answer: 84 m
Step-by-step explanation:
To find area, you multiply the width by the length ( A = L x W). Here, it is asking for the length, giving the area of the pool and the width. With this information, you can inverse operation ( division) to find the length of the pool. So:
5628 / 67 = 84
This tells us that the length of the pool is 87 meters. To check this answer, multiply 67 and 84. If it's equivalent to 5628, the given area, then 84 is indeed the length of the pool.
67 x 84 = 5628.
Thus, the length of the pool is 84 m.
Solve three fourths times two thirds(PLEASE i'M FAILING MATH!!!!!!!!!!!!!!!!!!)
Answer:
6/12 or 1/2 If you simply
Step-by-step explanation:
multiply straight across
Answer:
1/2
[tex] \frac{3}{4} \times \frac{2}{3} = \\ \frac{3 \times 2}{4 \times 3} = \frac{6}{12} or \: \frac{1}{2} [/tex]
Pls explain how to solve this elimination problem!!
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenths
place
#CARRYONLEARNING
..LOVEUALL...
Answer:
The answer is in the screenshot.
Step-by-step explanation:
help please RSM problem -need anwser please
Answer:
1/8 + 1/4 = 3/8
Step-by-step explanation:
Can someone please answer this no bots answer this please… I’ll give you brainliest
Answer:
Part one:
Y=13.5x+1
Part two:
Y=12x+40
Part three:
After 15 seconds Sam: 203.5ft Alice:220ft
Alice won
Step-by-step explanation:
MARKING BRAINLIEST PLEASE HELP
On a coordinate plane, 2 lines are parallel to each other.This system of equations has .
PLS HELP
Answer:
No solutions
Step-by-step explanation:
The lines never meet, there for have no intersection point leading to no solution for the system of equations.
Hope that helps
1. x^2 + 6x + 8 = 0
2. x^2 + 10x + 21 + 0
3. X^2 + 9x + 18 = 0
Answer:
545256
Step-by-step explanation:
27.if 2 lbs of rice is $3. How much will 15 lbs of rice be?
Answer:
2 lbs rice= $3
15 lbs rice= x
x= 15×3/2
=45/2=22.5For $22.5 will be 15 lbs of rice .
1. 5 3/4 + 5/6 + 2 1/2
2. 3 1/3 - (5 - 1 5/6)
if p(x)=x^2-4x+3 evaluvate p(2)-p(-1)+p(1/2)
Answer:
....◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉
How do you find the inverse of the exponential growth function?
f(x)=9.16(1.0054)^x
I know the inverse of an exponential is the log but the function is not in the exponential form and I am not sure how to find c
Answer:
The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)
Step-by-step explanation:
Starting equation... f(x) = 9.16(1.0054)ˣ
Visually rewritten... y = 9.16(1.0054)ˣ
Flipping x and y... x = 9.16(1.0054)ʸ
Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ
Taking the log of both sides... log (x/9.16) = y log (1.0054)
Isolating y... log (x/9.16)/log (1.0054) = y
Solution... y = log (x/9.16)/log (1.0054)
Roxanne has 142 songs on her MP3 player Tessa has 11 times as many songs as Roxanne so how many songs does Tessa have?
Hurry I need this :(
Answer:
142×11=1152
Step-by-step explanation:
hope it helps you:)
8) The height of a stack of CD cases is Proportional to the number of CD’s in the stack. A stack of 6 CD’s is 66mm high.* Find the unit rate**
a) How high is a stack of 10 CD’s?
b) Write an equation that relates the height (y) of a stack of CD’s and the number of CD cases(x) in the stack.
Step-by-step explanation:
well, when 6 CD cases are 66 mm high, then 1 CD case is 66/6 = 11 mm high.
a)
therefore, 10 CD cases are 11×10 = 110 mm high.
b)
y = 11x
Muhammad needs at least 6 feet of yarn to make a scarf. If Muhammad has 2 yards and 3 inches of yarn, and there are 3 feet or 36 inches in 1 yard, will he be able to make a scarf?
Answer:
Muhammad will be able to make the scarf
Step-by-step explanation:
If he needs 6 feet of yarn and he has got 2 yards witch are 3 feet each multiply 3 feet by 2 and you get 6 yards and then add the 3 inches left, he's got 6 feet 3 inches
If one lap takes me 11 minutes and 10 seconds how long will it take me to do 10 laps
Answer:
111 minutes and 40 sec
Step-by-step explanation:
11x10=110 minutes
10 sec x 10 = 100 seconds = 1 minute 40 sec
110 minutes+1 minute+40 seconds= 111 minutes and 40 seconds
A triangle has vertices at (1, 1), (1, 4), and (−3, 4).
What are the coordinates of the circumcenter?
Answer:
(-1, 2.5) is correct
Step-by-step explanation:
Given
Let A(1, 1)
Let B(1, 4)
Let C(-3, 4)
Let coordinates of the circumcenter is (x, y)
Using distance formula put the y value in this equation
So the coordinates of the circumcenter is (1, 2.5)
Step-by-step explanation:
Sorry it's so long.
find the ratio
3 ounces cost $2.73
Answer:
1 : $0.91
Step-by-step explanation:
divide 3 by 3
divide 2.73 by 3
1:0.91
Help me with this fractions work
Step-by-step explanation:
a. 5 2/5 can be converted to 27/5
Multiply the numerators and denominators of 7/9 and 27/5
You will get: 189/45
This can be simplified to 21/5
b. 1 3/4 can be converted to 7/4 and 4 1/6 can be converted to 25/6
Using the same process as before, you get: 175/24
Select all values equal to the fraction below:
A red die is tossed and then a
green die
is tossed. What is the probability that
the red die shows an even number and
the green die shows an even number?
Make sure your answer is reduced.
Answer: 1/4
Step-by-step explanation:
There are three even numbers and three odd numbers on a 6 sided dice
The probability of rolling an even number on the red die is: p(red with even) = 3 / 6, or 1 / 2, since there are six numbers on a die.
The probability of rolling an even number on the green die is the same as the probability of rolling an even number on the red die, or 3 / 6, or 1 / 2.
Since rolling the red die and rolling the green die are independent events, to find the probability of both occurring, you need to multiply the individual probabilities.
P(of both red and green even) = 1/2 * 1/2, or 1/4.
Answer:
3/4
Step-by-step explanation:
This is what I got for Acellus
What is the point-slope of a line that has a slope of 3 and passes through point (1, 4)
Answer:
A. y - 4 = 3 ( x - 1 )
Step-by-step explanation:
Given:
x1 = 1
y1 = 4
slope (m) = 3
Solution:
y - y1 = m ( x - x1 )
y - 4 = 3 ( x -1 )
y - 4 = 3x - 3
y = 3x - 3 + 4
y = 3x + 1
A dessert has both fruit and yoghurt inside.
Yogo-pot
Altogether, the mass of the fruit and yoghurt is 175g.
The ratio of the mass of fruit to the mass of yoghurt is 2:5
What is the mass of the yoghurt?
What is 95/18 as a decimal?
Please include an explanation and the correct answer!
I will give brainliest to the best answer!
I need it in the next 5 mins!
Thank you!
Answer:
5.27777777
repeating 7s forever
rounded to 2 decimal places is:. 5.28
Hey there!
In order for you to find the decimal form of a fraction, you have DIVIDE the NUMERATOR (the TOP number) from the DENOMINATOR (the BOTTOM number)
Here’s the formula
a/b = a ÷ b = [decimal form]
ANSWERING YOUR QUESTION
95/18
= 95 ÷ 18
= 5.277778 ≈ 5.3 or 5.28
Therefore, your answer is: 5.277778
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Mrs. Jenson's science quiz has 4 questions. Each question has answer choices "A," "B," "C," and "D." How many combinations of 4 answers are possible for the 4-question science quiz? Possible answers 16 , 24, 64, and 256.
Answer:
14
Step-by-step explanation:
For every question, there should be 1 answer.
There are 4 answers for the 4 questions
4 times 4 = 16
On Saturday Keisha ran 3.218 kilometers. on Su nday she ran 2.87 kilometers. How much further did she run on Saturday than on Sunday
Answer:
0.808 you find the difference between the two numbers
I need help on question 5 - 6 - 7 - 8 - 9 - 10 - 11 - 12 please
Answer:
The solution is given in the photo
what is the equation of the line that passes through the point (0, -2) with a slope of 2
Answer:
Step-by-step explanation:
You can use a fill in the blank formula called "point-slope" formula because you were given a point and the slope. But there's an even easier way because they gave you a special point. The point (0, -2) is on the y-axis. So it actually IS the y-intercept. So just in this case, you can use the slope-intercept formula as a fill-in-the-blank formula bc you were actually given the slope (we always use m for slope) and the y-intercept.
This is y = mx + b... fill in the given slope for the m, fill in the y-intercept for the b, then you're done!
y = 2x -2