Answer:
g(x) = - x² - x + 12
Step-by-step explanation:
Given
g(x) = (- x - 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
- x(x - 3) - 4(x - 3) ← distribute both parenthesis
= - x² + 3x - 4x + 12 ← collect like terms
= - x² - x + 12 ← in standard form
Answer:
Ray
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Required
Solve graphically
See attachment for graph;
The black shade represents
While the green, represents
Next, determine the intersection points between the two lines
From the attached graph, we have:
<em>Hence, the solution is:</em>
Answer:
The width is 5 and the length is 11
Step-by-step explanation:
The formula for perimeter is
P = 2(l+w)
We know the perimeter is 32
32 = 2 (l+w)
Divide each side by 2
32/2 = 2(l+w)
16 = l+w
We know the length is 6 longer than the width
l = w+6
16 = w+6+w
Combine like terms
16 = 2w+6
Subtract 6 from each side
16-6 = 2w+6-6
10 = 2w
Divide by 2
10/2 = 2w/2
5 =w
The length is
l = w+6
5+6 = 11
Radius of the circle = r = 6.4 cm
Length of the arc = s = 8 cm
Measure of angle formed by the arc = <span>θ = ?
The radius of the circle, arc length and the angle made by the arc at the center of the circle are related by the equation:
s = r</span><span>θ
From here we can find </span><span>θ by:
</span><span>θ = s/r
Using the values, we get:
</span><span>θ = 8/6.4
</span><span>
θ</span><span>= 1.25 radians
Thus the radian measure of the angle </span>θ made by the arc will be 1.25 radians
