Adding both equations cancels y:
<span>4x + 8y = 16
</span><span>4x - 8y = 0
-----------------+
8x = 16 => x=2
filling in x=2 in the first equation gives:
4*2 + 8y = 16 => 8y = 8 => y=1
So (2,1) is the (x,y) pair that solves the two equations. Answer C.</span>
Answer:
Step-by-step explanation:
The distance formula states that the distance between two points 
and 
is 
.
The two points we have are 
and 
. Plugging these numbers into the distance formula, we have
.
Simplifying with order of operations, first using the distributive property, gives
.
Squaring and adding gives
which is the answer in simplest form. This also rounds to about 12.04.
Since the sine and cosine functions are cofunctions, they are complementary. The format for this is that sinx=cos(90-x). This works for secant and cosecant and tangent and cotangent. So, sin25°=cos65°.
Answer:
Step-by-step explanation:
just plot the given data on graph
Rewrite the equation:
-2x^2 - 3x + 8 = 0
2x^2 + 3x -8 =0
Where a=2, b=3 and c=-8
Then b^2 - 4ac = 3^2 - 4(2)(-8) = 9 + 64 = 73
A positive discriminant implies that the equation has two different real solutions.
Answer: the discriminant is 73, so the equation has 2 real solution
