Answer:
The value of k=1
So, Maura claim is incorrect. The value of k=1 and not k=1/2
Step-by-step explanation:
We need to determine the value of k if 
We are given:
Exponent rule, if bases are equal the exponents are equal
We can write 
Now since the base is same, i,e 2 so, the exponents will be same
So, the value of k=1
So, Maura claim is incorrect. The value of k=1 and not k=1/2
Answer:
16 cm, 30 cm, 34 cm
Step-by-step explanation:
I got this answer simply by plugging each number into my calculator with the following equation:
When you the lower numbers into the equation, if the lengths really do give you a triangle, then you should get the largest number as your output. This can help you with any of the other questions that you may have to answer.
Answer:
(1, 2)
Step-by-step explanation:
Given the equation of the lines x + 2y = 5 and 2x - 3y = -4
First we need to make x the subject of the formulas
For x+2y = 5
x = 5 - 2y ... 1
For 2x - 3y = -4
2x = -4+3y
x = (-4+3y)/2 ... 2
Equate 1 and 2
5 - 2y = (-4+3y)/2
2(5-2y) = -4+3y
10 - 4y = -4+3y
-4 -3y = -4-10
-7y = -14
y = 14/7
y = 2
Substitute y = 2 into 1
x = 5 = 2y
x = 5 - 2(2)
x = 5 - 4
x = 1
Hence the point where the lines meet will be at (1, 2)
Answer:
the two positive consecutive integers are 4 and 6.
Step-by-step explanation:
Let the smaller integer be s; then s^2 = (s + 2) + 10.
Simplifying, s^2 - s - 2 - 10 = 0, or
s^2 - s - 12 = 0.
Solve this by factoring: (s - 4)(s + 3) = 0.
Then s = 4 and s = -3.
If the first even integer is 4, the next is 6. We omit s = -3 because it's not even.
The smaller integer is 4. Does this satisfy the equation s^2 = (s + 2) + 10?
4^2 = (4 + 2) + 10 True or False?
16 = 6 + 10 = 16.
True.
So the two positive consecutive integers are 4 and 6.
