Answer:
Except k=7, any real number for k would cause the system of equations to have no solution.
Step-by-step explanation:
In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.
Just for information, if k=7 the system will have infinitely many solutions.
#33 x(2x - 5) = 12
The answer is x = 4
Answer:
<h2>m

F = 34°</h2>
Step-by-step explanation:
If E and F are complementary I means that the sum of their angles add up to 90° since all complementary angles have the sum of their angles equal to 90°
To find m
F add m
E and m
F and equate it to 90 to find x then substitute it into the expression for m
F
Thats
m
E + m
F = 90
9x - 38 + 2x + 40 = 90
11x + 2 = 90
11x = 90 - 2
11x = 88
Divide both sides by 11
x = 8
Now we have
if m
F = 9x - 38
m
F = 9( 8) - 38
m
F = 72 - 38
We have the final answer as
<h3>m

F = 34°</h3>
Hope this helps you
In your question that ask to find the distance that the cow must stand fro the billboard in order to maximize the value of theta and based on my calculation and further formulation, I came up with an answer of the tan to the power of negative one of 11 over X.
Answer:
0.51 or 51%.
Step-by-step explanation:
If there were 100 students in the school, then 38 have a dog 24 a cat and 11 have both.
So there are 38 - 11 = 27 who only have a dog and 24-11 = 13 who only have a cat.
So total number having a pet = 27+11+13
= 51 students.
So Prob(You will choose a student with a pet) = 51%.
Drawing a Venn diagram would help to answer this and make it clearer.