We multiply 38 by 45 to get 1710. This is already in simplest form, although we can convert it to scientific notation as 1.71*10^3 if you wish.
Answer:
the line would move up five units because b is the y intercept, and the y intercept determines the position of the line, not the look or slope of the line
Answer:
Where is the Graph?
Step-by-step explanation:
Answer:
- vertex: (-5/8, 7/16)
- axis of symmetry: x = -5/8
Step-by-step explanation:
For quadratic ax²+bx+c, the axis of symmetry is located at x=-b/(2a).
Here, we have a=4, b=5, so the axis of symmetry is ...
... x = -5/(2·4) = -5/8
_____
The vertex y-value will be f(-5/8).
... f(-5/8) = (4·(-5/8) +5)·(-5/8) +2 = (5/2)·(-5/8) +2 = -25/16 +32/16
... f(-5/8) = 7/16
_____
The axis of symmetry is x = -5/8; the vertex is (-5/8, 7/16).
Answer:
x = 9; y = 12; u = 24; v = 32
Step-by-step explanation:
The corresponding sides of similar triangles are in the same ratio to each other.
3/5 = (3 + x)/20 Multiply each side by 20
20×3/5 = 3 + x
12 = 3 + x Subtract 3 from each side
x = 9
=====
4/5 = (4 + y)/20 Multiply each side by 20
20×4/5 = 4 + y
16 = 4 + y Subtract 4 from each side
y = 12
=====
3/5 = (3 + x + u)/60 Multiply each side by 60
60×3/5 = 3 + x + u
36 = 3 + x + u Insert the value of x
36 = 3 + 9 + u
36 = 12 + u Subtract 12 from each side
u = 24
=====
4/5 = (4 + y + v)/60 Multiply each side by 60
60×4/5 = 4 + y + v
48 = 4 + y + v Insert the value of y
48 = 4 + 12 + v
48 = 16 + v Subtract 16 from each side
v = 32
x = 9; y = 12; u = 24; v = 32
