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otez555 [7]
3 years ago
9

Point A' is the image of point A when point A is rotated about the origin B. What angle in the counterclockwise direction is

Mathematics
1 answer:
Elza [17]3 years ago
8 0

9514 1404 393

Answer:

  90° CCW

Step-by-step explanation:

The slope of BA is -1/3. The slope of BA' is 3, so the slopes are opposite reciprocals of one another. These segments are perpendicular, meaning the angle between them is 90°.

Point A' has been rotated 90° CCW about point B.

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PLEASE HELP ME WITH THIS<br><br>​
Vladimir [108]

Answer:

A. (0, 60)

B. 15x

Step-by-step explanation:

The initial value is the same as the y-intercept, which is 60 or (0, 60).

The rate of change would be the same as the slope. To find the slope, you do rise/run. You move 15 units up, and 1 to the right. That would be 15x.

Hope this helps!

5 0
3 years ago
Find the quotient. 64 ÷ 32 =
Viktor [21]

Answer:

64÷32=2.

Step-by-step explanation:

if you add 32+32 it's 64, so that means 32x2=64 and yeahhh

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3 years ago
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6 0
3 years ago
X=6<br> is a solution to the inequality x−5≤ 10<br><br> True or False?
vekshin1

Answer:

  • \boxed{\sf{FALSE}}
  • \boxed{\sf{x\leq 15}}

Step-by-step explanation:

Isolate the term of x from one side of the equation.

<h3>x-5≤10</h3>

<u>First, add by 5 from both sides.</u>

\sf{x-5+5\leq10+5}

<u>Solve.</u>

<u>Add the numbers from left to right.</u>

\sf{10+5=15}

\Longrightarrow: \boxed{\sf{x\leq 15}}

  • <u>Therefore, the solution is x≤15, which is our answer.</u>

I hope this helps you! Let me know if my answer is wrong or not.

6 0
2 years ago
Read 2 more answers
A certain isotope decays so that the amount A remaining after t years is given by: A = A0 · e ^-0.03t where A0 is the original a
Katena32 [7]
<span>Ending Amt = Bgng Amt * e ^-0.03t
In this equation, the "-0.03" is the decay factor or "k"
We can now solve for half-life by this equation:
</span>t = <span>(<span>ln [y(t) ÷ a]<span>)<span> ÷ -k  (we can say beginning amount = 200 and ending amount = 100
</span></span></span></span>t = <span>(<span>ln [200 ÷ 100]<span>)<span> ÷ -k
</span></span></span></span>t = <span>(<span>ln [2]<span>)<span> ÷ -k
</span></span></span></span>t = 0.69314718056<span> ÷ --.03
t =</span><span><span><span> 23.1049060187 </span>
about 23 years
</span></span>
7 0
3 years ago
Read 2 more answers
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