Answer: x ≤ -5.5
reason:
first, multiply 4x and -2 by 1/2 and 6x and 9 by -2/3.
this makes the equation 2x-1-4x-6 ≤ 4
combine like terms to make it -2x-7 ≤ 4
add 7 to both sides to get -2x ≤ 11
divide both sides by -2 and get x ≤ -5.5
The question is missing the figure. So, it is attached below.
Answer:
Area of the shaded sector is <u>144π units squared</u>.
Step-by-step explanation:
Given:
Central angle of the sector is,
Radius of the circle is,
We know that, area of a sector of a circle of radius 'R' and central angle is given as:
Plug in . This gives,
Therefore, the area of the shaded sector is 144π units squared.
The answer is: [A]: "6" .
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Explanation:
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Using the Pythagorean theorem to solve for the hypotenuse of a right triangle:
a² + b² = c² ;
in which "c" is the length of the "hypotenuse" (for which we are to solve);
& "a" and "b" are the lengths of the other 2 (two) sides.
In this case, "a" and "b" are "equal lengths" ;
that is: a = b = 3√2 ;
So "(3√2)² + (3√2)² = c² " ; Solve for "c" ;
↔ c² = (3√2)² + (3√2)² ;
→ c² = 2*(3√2)² = 2 * (3²) * (√2)² ;
= 2 * 9 * 2 ;
= 18 * 2 = 36 ;
→ c² = 36 ;
Take the positive square root of each side of the equation ; to isolate "c" on one side of the equation ; & to solve for "c" (the length of the hypotenuse);
→ +√(c²) = +√36 ;
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→ c = 6 ; which is: "Answer choice: [A]: "6" .
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