3|–3x + 9| = –18
divide both sides by 3
|–3x + 9| = –6
<span>absolute value cannot be a negative number</span>
<span>Answer: No solutions</span>
Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
which simplifies a bit to
and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
First, distrbute -3 to both -4y and 3
-3(-4y) = 12y -> note that two negatives multiplied = one positive answer
-3(3) = -9 -> note that one negative and one positive = one negative answer
12y - 9 + 7y -> combine like terms
12y + 7y - 9
19y - 9 -> answer
Your answer is 19y - 9
hope this helps
~Crystal
Answer:
2.5 is your answer.
Step-by-step explanation:
Since the given hypotenuse is 6.5 and one of the lengths is given as 6, we can use the equation a^2 +b^2 =c^2 to solve this. Plugging the numbers in, it would now be 6^2+b^2 =6.5^2, which would give you 36+b^2=42.25. Now, all you need to do is solve. Subtract 36 from 42.25, which will result in 6.25. Now, the equation is at b^2=6.25. All you need to do now is find the square root of 6.25, which would be 2.5, therefore giving you your answer.
