Answer: D. 94.25 in²
Step-by-step explanation:
To find the total area, we will break the shape up into two different parts.
[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.
Area of a circle:
A = πr²
Use 3.14 for pi:
A = (3.14)r²
Find the radius:
d / 2 = r, 10 / 2 = 5 in
Subsittue:
A = (3.14)(5)²
A = 78.5 in²
Divide by 2 since it is only half:
78.5 in² / 2 = 39.25 in²
[] The triangle is 55 in².
Area of a triangle:
A = b*h/2
A = 11 * 10 / 2
A = 110 / 2
A = 55 in²
[] Total area. We will add the two parts together.
55 in² + 39.25 in² = 94.25 in²
The point where the two axes intersect (0,0) it's the point of origin.
16x² - 44x + 24
= 4(4x² - 11x + 6)
= 4(x * 4x - 8x - 3x + 2 * 3)
= 4(x - 2)(4x - 3)
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Answer:
x≥−3
Step-by-step explanation:
−4x−10≤2
Step 1: Add 10 to both sides.
−4x−10+10≤2+10
−4x≤12
Step 2: Divide both sides by -4.
−4x−4≤12
−4
x≥−3