Expand
f(x)=-1x^2-8x+33
x coordinate of vertex is -b/2a in the form ax^2+bx+c=y
a=-1
b=-8
-(-8)/2(-1)=8/-2=-4
plug back in to get y value
y=-(-4^2)-8(-4)+33
y=-16+32+33
y=49
y value is 49
Answer:12
Step-by-step explanation:
Answer:
The perimeter of the isosceles triangle is 32 centimeters
Step-by-step explanation:
<em>The perimeter of any figure is </em><em>the sum of the lengths of outline sides</em>
Let us use this fact to solve our question
∵ The perimeter of the triangle is the sum of the lengths of its 3 sides
∵ The triangle is an isosceles triangle
∵ The length of each two equal sides is 12 centimeters
∵ The length of the third side is 8 centimeters
→ Add the lengths of the 3 sides
∴ The perimeter of the triangle = 12 + 12 + 8
∴ The perimeter of the triangle = 32 centimeters
∴ The perimeter of the isosceles triangle is 32 centimeters
Answer:
B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.
Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.
In the given question, ∆ABC is mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.
Answer:
x = 3
Step-by-step explanation:
Given
4 : 8 = x : 6, expressing in ratio form, that is
= 
( cross- multiply )
8x = 24 ( divide both sides by 8 )
x = 3
Thus 4 : 8 = 3 : 6
