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sergejj [24]
3 years ago
13

Line segment KL is tangent to circle J at point K

Mathematics
2 answers:
MAVERICK [17]3 years ago
7 0

Answer:

10 units

Step-by-step explanation:

sdas [7]3 years ago
6 0

Answer:

Step-by-step explanation:

KL is tangent to the circle, so angle JKL = 90°.

Pythagorean Theorem:

r² + 24² = (r+16)²

r² + 576 = r² + 32r + 256

32r = 320

r = 10 units

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Kristen has 64 coins in her piggy bank. she has $9.25 in dimes and quarters. how many dimes and quarters does she have.
IRISSAK [1]
I believe she has 25 dimes in quarters and the rest in which is 9.00 in quarters
8 0
3 years ago
Determine all real numbers a$ such that the inequality $ |x^2 2ax 3a|\le2$ has exactly one solution in x$.
vovikov84 [41]

Answer:

x=-1, S=\{x\:\in\mathbb{R}:x=-1\}

Step-by-step explanation:

For the sake of clarity, assuming you meant:

|x^{2}+2x+3|\le2

1) Absolute Value or Modulus functions has one property that assures us that:

If |a|

2) Solving for x

I) x^{2}+2x+3\geqslant -2\Rightarrow x^{2}+2x+5\geqslant 0 \Rightarrow x\geqslant \frac{-2\pm \sqrt{2^{2}-4*1*5}}{2} x'\geqslant \frac{-2+4i }{2} \:and\:x''\geqslant \frac{-2-4i }{2}

Not defined in Real Set of Numbers

Evaluating x^{2}+2x+3\leqslant 2:

x^{2}+2x+3\leqslant 2\\x^{2}+2x+1\leqslant 0\\(x+1)(x+1)\leqslant 0 \Rightarrow S=\{-1\}

3) So, since for the first case the Discriminant Δ <0, then the solutions presented for x^{2}+2x+3\geqslant -2\: \in \mathbb{C}. The only solution in the Real Set for the inequality |x^{2}+2x+3|\le2 is S=\{-1\}, i.e. x=-1.

8 0
3 years ago
Which ratio is incorrectly written in Olivia's conversion?
klasskru [66]

Answer:

Choice 3

Step-by-step explanation:

The third fraction (third refers to the answer number) is incorrect. As written, the cups won't cancel. The correct way to do this is to invert the fraction.

4 tablespoons

===========

1/4 cup

This is an extremely important procedure to know. Make sure you understand what the basis of it is. Often  times in higher physics, you don't have a proper relationships and this method (called dimensional analysis) is the only tool you have to work with.

So each term has at least 1 cancelation that occurs with the prior term. And it is the units that you look to cancel, and that determines which way to put the intermediate steps.

5 0
3 years ago
7 is 5% of what number
Olenka [21]
I be live it would be 35 because you would just multiply 7x5 which I'd how I got my answer 35
6 0
4 years ago
Read 2 more answers
Situation: to compute the perimeter of a rectangle you find the sum of two times
Alex_Xolod [135]

Answer:

110

Step-by-step explanation:

30 + 25 \\  = 55 \times 2 \\  = 110

5 0
3 years ago
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