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: = √(22·2) (x2·x) y2 (z4. z) EXAMPLE Put 3√24 x6 y5 z10 in standard form. EXAMPLE Put 3√− 2 x11 y4 in standard form. EXAMPLE Put 4√64 x4 y10 in standard form. DEFINITION Radical expressions are said to be similar when they have the same radical index and the same radicand. EXAMPLES 1. The redial expressions 3 √2 and 5 √2 are similar. 2.
Step-by-step explanation:
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Answer:
I'm not sure but I think the answer is 2187 X^ (14) Y^ ( 42)
Step-by-step explanation:
(3x^2y^6)^7
3^(7) x (X^)^(7) x ( Y ^(6)^(7)
= 2187 X^ 14)Y^( 42)
Answer:
Because the diagonals of a rectangle are congruent, the statement "segment SQ ≅ segment PR" is true.
The simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2
<h3>What is the area of the rectangular table?</h3>
Since the carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving the other.
To find the area of the rectangular table, we know that Area, A = LW where
Now, since the length of the square is x, and the rectangular table has one side of the square tripled and halving the other side .
So,
let
- length of the rectangular table = L = x/2 and
- width of rectangular = W = 3x
So, the area of the rectangular table A = LW
= x/2 × 3x
= 3x²/2
So, the simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2
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