Hey there,
The question is to find the product of the two factors (2p + q)(-3q - 6p + 1).
Now we just multiply across:
- -6pq - 12p² + 2p -3q²- 6pq + q
Now we combine like terms:
So the result would be -12p² - 3q² + 2p + q.
Hope I helped,
Amna
if 2 quarts=1/2 galleon on the graph.
Then half of 2 quarts will be half of 1/2 galleons.
Therefore 1 quart=1/4 galleons.
Hope it helps!
We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2
y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3
the coordinates of the focus are (2,3)
Complete Question:
Triangle abc has the angle mesausres shown.
m<A = (2x)°
m<B = (5x)°
m<C = (11x)°
Which statement is true about the angles?
A. m<A = 20°
B. m<B = 60°
C. m<A and m<B are complementary
D. m<A + m<C = 120°
Answer:
A. m<A = 20°
Step-by-step explanation:
m<A + m<B + m<C = 180° (sum of interior angles of a triangle)
(substitution)
Solve for x. Add like terms.

Divide both sides by 18


Find the measure of each angle by substituting x = 10:
m<A = (2x)° = 2(10) = 20°
m<B = (5x)° = 5(10) = 50°
m<C = (11x)° = 11(10) = 110°
Therefore, the only true statement is:
A. m<A = 20°
Answer:

Step-by-step explanation:
The formula for the volume of a cone is:

Given:
- Radius = 2cm
- Height = 9cm
Let's plug these into the equation:

Now solve:

Therefore, the volume of the cone is 37.7cm^3.
<em>I hope this helps!!</em>
<em>- Kay :)</em>