Answer:
1.) a
2.) ?
Step-by-step explanation:
Answer:
y = (x + 9)² + 9
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
given a parabola in standard form : ax² + bx + c : a ≠ 0
the the x-coordinate of the vertex is
= - 
y = x² + 18x + 90 is in standard form
with a = 1, b= 18 and c = 90
= -
= - 9
to find the corresponding y-coordinate substitute x = - 9 into the equation
y = (- 9)² + 18(- 9) + 90 = 81 - 162 + 90 = 9
⇒ y = (x + 9)² + 9 ← in vertex form
11/2. You can set x+6=3x-5 because when two triangles are congruent then all their corresponding sides and angles are congruent. Then solve for x and you get x=11/2
The surface area of the two triangles is 12 cm^2.
3*4=12
The surface area of the bottom rectangle is 8 cm^2.
4*2=8
The surface area of the rectangle that is on the left side of the figure is 6 cm^2.
3*2=6
The surface area of the rectangle that is on the top side of the figure is 10 cm^2.
To find the third side of the triangle, use the Pythagorean theorem.
3^2+4^2=h^2
9+16=25
The third side of the triangle is 5 cm.
The surface area of the whole figure is 36 cm^2.
12+8+6+10=36