What is the vertex of the parabola with the equation y=15x2+2x−8?

a =15, b=2

Axis of Symmetry =

=

To find the y-value for the vertex sub in the axis of symmetry for x

∴ Vertex

Step-by-step explanation:

a. the are of the rectangle is 18.25

b. 18.25 times two is 36.50

rae me : d

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.