Answer:
E.) 1
Step-by-step explanation:
Firstly we will solve for L.H.S.
L.H.S. =
Since we know that is the inverse of 
.
So we can say that;
Now For R.H.S.
Since we can rewrite 
as 
.
Now we can say that the R.H.S. is;
Now we add the fraction and get;
Now according to trigonometric identity;
So, 
Here,
and = 
<em> </em>
L.H.S. = R.H.S.
Hence 
5x -2y = 26. We know that x = y + 4. Substitute the value of x in and you get 5y + 20 - 2y = 26 If yous simplify this you get 3y + 20 = 26
Take away 20 from both sides and you end up with 3y = 6
Now did use both sides by 3
You end up with y = 2
Now to find x you just simplify the value of y into x = y + 4. You end up with x = 2 + 4. Now you know that y = 2 and. X = 6
Answer:
$40,000
Step-by-step explanation:
25% of x = $10,000
0.25x = 10,000
x = 10,000/0.25
x = 40,000
Answer: $40,000
Answer:
Step-by-step explanation:
B(2,10); D(6,2)
Midpoint(x1+x2/2, y1+y2/2) = M ( 2+6/2, 10+2/2) = M(8/2, 12/2) = M(4,6)
Rhombus all sides are equal.
AB = BC = CD =AD
distance = √(x2-x1)² + (y2- y1)²
As A lies on x-axis, it y-co ordinate = 0; Let its x-co ordinate be x
A(X,0)
AB = AD
√(2-x)² + (10-0)² = √(6-x)² + (2-0)²
√(2-x)² + (10)² = √(6-x)² + (2)²
√x² -4x +4 + 100 = √x²-12x+36 + 4
√x² -4x + 104 = √x²-12x+40
square both sides,
x² -4x + 104 = x²-12x+40
x² -4x - x²+ 12x = 40 - 104
8x = -64
x = -64/8
x = -8
A(-8,0)
Let C(a,b)
M is AC midpoint
(-8+a/2, 0 + b/2) = M(4,6)
(-8+a/2, b/2) = M(4,6)
Comparing;
-8+a/2 = 4 ; b/2 = 6
-8+a = 4*2 ; b = 6*2
-8+a = 8 ; b = 12
a = 8 +8
a = 16
Hence, C(16,12)
Answer:
Step-by-step explanation:
First, the y-intercept is -3 so from -3 the slop to the next point is 4/1.
