Answer:A
Step-by-step explanation: In exponents,
a
1
m
=
m
√
a
Hence
x
1
2
=
2
√
x
Answer:
A vertical asymptote is
Step-by-step explanation:
A vertical asymptote (or VA for short) for a function is a vertical line x = k showing where a function f(x) becomes unbounded. In other words, the y values of the function get arbitrarily large in the positive sense (y→ ∞) or negative sense (y→ -∞) as x approaches k, either from the left or from the right.
Answer: Shania is correct.
Step-by-step explanation:
For a right angled triangle, given two sides and an angle, we can use the sine rule or the various trigonometry identities to solve the triangle;
a/sin A = b/sinB
and
sin (angle) = opposite side/hypotenuse
cos (angle) = adjacent side/hypotenuse
tan (angle) = opposite/ adjacent
assuming a is the opposite side of angle A and b is also opposite of angle B
Otherwise, the only way to solve a triangle given two sides only is by the use of the Pythagoras theorem.
Hence, Shania is correct.
Answer:
x = -3, y = -1
Step-by-step explanation:
Solve by substitution:
First make the second equation in terms of y:
y = -x-4
Next, since we found what y is, plug it into the first equation and solve for x:
-3x + 5(-x-4) = 4 Plug in
-3x - 5x - 20 = 4 Distribute
-8x - 20 = 4 Simplify
-8x = 24
x = -3
We have found that x = -3. To find y we need to plug x back into any of the equations. Let's do equation #2.
(-3) + y = -4 Plug in
y = -1 Simplify
So, y = -1 and x = -3. Let's check this in the first equation to make sure it is correct:
-3(-3)+ 5(-1) = 4 Plug in
9 + (-5) = 4 Simplify
9 - 5 = 4
4 = 4
Since both sides are equal that means we are correct!
Hope this helps!!
