B. 74%
This is because the complement plus the original must equal 100%.
So...
100 - 26 = 74
x = -10 that is the answer your welcome
You have the correct axis of symmetry value. Nice work.
Plug that x value into the equation to get...
y = -2x^2 - 12x - 10
y = -2*(-3)^2 - 12*(-3) - 10 <<-- replace every x with -3; then use PEMDAS
y = -2*(9) - 12*(-3) - 10
y = -18 + 36 - 10
y = 18 - 10
y = 8
The vertex is the ordered pair (-3, 8)
Note: the axis of symmetry is the vertical line through the vertex
Answer:
Step-by-step explanation:
Statements Reasons
1). SP ≅ TP 1). Given
2). PQ bisects ∠SPT 2). Given
3). ∠SPQ ≅ ∠TPQ 3). Definition of angles bisector
4). PQ ≅ PQ 4). Reflexive property of congruence
5). ΔSPQ ≅ ΔTPQ 5). SAS property of congruence
Answer:
x = 6
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² + (x + 2)² = 10² ← expand parenthesis on left side and simplify
x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide through by 2 )
x² + 2x - 48 = 0
(x + 8)(x - 6) = 0 ← in factored form
equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
however, x > 0 , then x = 6
