Answer:
The vertex of this parabola is (1, 14).
Step-by-step explanation:
To find the vertex of this parabola, one approach is to determine the equation of the axis of symmetry: evaluate x = -b / (2a), where a, b and c are the coefficients of the x^2, x and x^0 terms respectively.
Here a = -2, b = 4 and c = 12.
Thus, the axis of symmetry is x = -4 / (2· -2), or x = 1.
The function value at x = 1 is y = -2(1)^2 + 4(1) + 12, or y = -2 + 4 + 12 = 14.
The vertex of this parabola is (1, 14).
ANSWER
The is 10 is meters
EXPLANATION
The area of a tra-pezoid can be calculated using the formula;

We substitute the values to get,




The height is 10 meters.
Answer:
The Proof is below.
Step-by-step explanation:
Given:

To Prove:

Proof:
In ΔLPM and ΔNPM
……….{Given}
……….{Given}
……….{Reflexive Property}
ΔLPM ≅ ΔNPM ….{ By Side-Side-Side congruence test}
∴ ∠LMP ≅ ∠NMP ...{Corresponding parts of congruent triangles (c.p.c.t).}.....( 1 )
Now In ΔLMQ and ΔNMQ
……….{Given}
∠LMQ ≅ ∠NMQ ..........{From 1 above}
……….{Reflexive Property}
ΔLMQ ≅ ΔNMQ ....{ By Side-Angle-Side Congruence test}
∴
...{Corresponding parts of congruent triangles (c.p.c.t).}.....Proved
I think that it's - positive linear association with one deviation
Answer:
reflection and translation