For what values of k do the lines 2x + ky = 3 and kx + 8y = 7 intersect?
Answers
The lines 2x + ky = 3 and kx + 8y = 7 intersect for all values of k except 4 and -4 the answer is R - {4, -4}.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Two linear equations in two variables are:
2x + ky = 3 and
kx + 8y = 7
As we know the condition for the lines to intersect or have unique solutions:
2/k ≠ k/8
After cross multiplication:
k² ≠ 16
k ≠ ±4
The values of k can be anything except 4 and - 4
Thus, the lines 2x + ky = 3 and kx + 8y = 7 intersect for all values of k except 4 and -4 the answer is R - {4, -4}.
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Answer:
ky=3-2x
y=(3-2x)/k
y=(7-kx)/8
(3-2x)/k=(7-kx)/8
8(3-2x)=(7-kx)k
24-16x=7k-k*kx
24=7k-kkx+16x
24+7k=kkx+16x
24+7k=x(k^2+16)
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64
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-------
46
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Bill has 46 crayons.
I hope this helped
Answers
The total cell phone bill of Jenya for a month is $102.50.
What is Multiplication?
Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given that,
Jenya paid $40 per month for a cell phone plus $1.25 for each international text message she sent.
Fixed bill for the month = $40
Cost for each international text message = $1.25
Total number of messages = 50
Total cost for the international text message = $1.25 × 50
= $62.50
Total cost of bill for the month = $62.50 + $40
= $102.50
Hence the total phone bill for the month is $102.50.
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Answers
Answer:
1
Step-by-step explanation:
Change of Y is 0 and change of x is any number.
0/any number = 0
Answers
Answers
For this, you will be doing the pythagorean theorem, which is . In this case, the legs are 12 and 35 and the hypotenuse is AB. Using this, the equation will look like this:
Firstly, solve the exponents:
Next, add up 144 and 1225:
Lastly, square root each side, and your answer should be
In short, the hypotenuse is 37 ft, or the last option.
Answer:
THE ANSWER IS D ON EDGEN.
Step-by-step explanation:
D. 37 ft.