Answer:
k = ±4
Step-by-step explanation:
Equation of the circle is:
x² + y² = 5
This means from the general form of equation of a circle;
Centre coordinates is (0, 0) and radius is; √5.
The line 2x - y + k = 0 touches the circle. Thus, perpendicular distance from centre of the circle to this line is equal to the circle radius;
Thus;
|((2 - 0) - (1 × 0) + k)|/(√(2² + 1²)) = √5
|(1 + k)|/√5 = √5
Multiply both sides by √5 to get;
|1 + k| = 5
|k| = 5 - 1
k = ±4
Graphs have multiple columns. If you have a description, let's say 5 gold crayons, 4 black crayons, and 9 blue crayons. You draw a graph, and then you write 1-10 on the long side, and gold, black, and blue on the other side. You color in 5 units going up on the gold column, 4 units going up on the black column, and 9 going up on the blue column. And there you go, a description of a graph! Not that great, but I tried my best. :)
A) x + .07x = 45.50
X is the price of the toy boat, •07x adds the tax for a total paid of $45.50
For this case we have:
Be a function of the form 
Where:
If we want to find f (-2), we substitute 
, then:
Since we have a negative root, the result will be given by complex numbers. By definition:
So:
Answer:
43.)
a. There is an s amount of shoes, because s is the total amount of shoes
b. x is the number of shoes, so x - 1/2 = s
44.)
2s + 7 = x
45.)
the variable s is the total amount of shoes Pete has and 8 don't fit him anymore (or got ruined) so he threw them away... x - 8
46.)
The expressions y + 4 and 1y + 4 are equivalent, because a variable always has a hidden (1) next to it like (1)y and any positive number multiplied by 1 always stays the same.
I hope i helped : )
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