Step-by-step explanation:
=9x+2(2x+3)
=9x+4x+6
=13x+6 I hope so,
Answer:
144°
Step-by-step explanation:
First, find the area of the circle, with the formula A =
r²
Plug in 10 as the radius, and solve
A =
r²
A =
(10²)
A = 100
Using this, create a proportion that relates the area of the sector to the degree measure of the arc.
Let x represent the degree measure of the arc of the sector:
= 
Cross multiply and solve for x:
100
x = 14400
x = 144
So, the degree measure of the sector arc is 144°
Answer:
16x^2 -8x +1
Step-by-step explanation:
The square of a binomial expands as ...
(a +b)^2 = a^2 +2ab +b^2
So, you need to look for a trinomial with first and last terms that are perfect squares and a middle term that is double the product of the roots of those terms.
This pattern matches ...
16x^2 -8x +1 = (4x -1)^2
Answer:
smaller (t) = 2 and this in coordinates form (2,0)
larger (t) = 15 and this in coordinates form (15,0)
the vertex of the parabola =
or in decimals (8.5, 42.25)
Step-by-step explanation:
- For the zeros of the function take each bracket and make it equal to zero.
SMALLER (t):
(t-2)=0
(add 2 for both sides)
t=2
LARGER (t):
(t-15)=0
(add 15 for both sides)
t=15
- For the vertex of the parabola you do:
step1: expand the brackets:
f(t)=-(t-2)(t-15)
f(t)= 
step2: define a,b and c using the expression
:
a= -1 (the coefficient of
)
b= 17 (the coefficient of t)
c= -30 (the single number without a letter)
step3: sub the values in the formula
to find the x coordinate of the vertex :

= 
=
or in decimals 8.5
step4: sub the value of t (the x-coordinate) in equation f(t):
f(t)= 
f (
) = -
+ 17×
- 30
=
+
-30
=
or in decimals 42.25
(THIS IS A PICTURE OF THE GRAPH↓)