Answer:
C
Step-by-step explanation:
Given 2 secants intersect a circle from a point outside the circle, then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
x(x + 10 + x) = 6(6 + 10 + x)
x(2x + 10) = 6(16 + x) ← distribute parenthesis on both sides
2x² + 10x = 96 + 6x ← subtract 96 + 6x from both sides
2x² + 4x - 96 = 0 ← in standard form
Divide through by 2
x² + 2x - 48 = 0 ← factor the left side
(x + 8)(x - 6) = 0
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
However x > 0 ⇒ x = 6 → C
Answer:
Firstly find the area of the square and then the area of the two triangles and then plus it. That's what I think I tried
Answer:
The percentage of the markup is 82%
Step-by-step explanation:
In this question, we are asked to calculate the percentage of mark up. This is simply calculating the percentage of the profit margin.
firstly to be able to calculate this percentage, we need to know the value of the profit margin itself.
mathematically, the profit margin is selling price - cost price
From the question, the selling price is $1 while the cost price is 55 cents
The profit margin is thus $1 - 55 cents = 45 cents
We now proceed to calculate the percentage profit
mathematically, that is profit/cost price * 100%
That would be 45 cents/55 cents * 100 = 9/11 * 100% = 81.8 approximately 82%
2x - 3y = 6
-3y = -2x + 6
y = 2/3x - 2....the slope here is 2/3. A parallel line will have the same slope
y = mx + b
slope(m) = 2/3
(9,-3)...x = 9 and y = -3
now we sub and find b, the y int
-3 = 2/3(9) + b
-3 = 6 + b
-3 - 6 = b
-9 = b
so ur parallel equation is : y = 2/3x - 9 <== or 2x -3y = 27
