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Wittaler [7]
3 years ago
5

Find the equation of the straight lines passing through the origin that are tangent to a circle with the center (2,1) and a radi

us of 2.
Mathematics
2 answers:
Inessa05 [86]3 years ago
5 0

Answer:

2?

Step-by-step explanation:

Oxana [17]3 years ago
4 0

Answer:

Equation y=(-3/4)⋅x

Step-by-step explanation:

The points of tangency are (0, 1) and (4/5, -3/5)

The equations of the lines from the origin (0, 0) through these points is

x = 0 and y = -3/4x, respectively.

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In a batch of 890 calculators, 12 were found to be defective. What is the probability that a calculator chosen at random will be
scoray [572]

Answer:

<em>1.3%</em>

When entered into a calculator, 12/890 (the chance of a given calculator being defective) = 0.01348...

As a percent this is 100*0.01348% = 1.348%, and to the nearest tenth, 1.3%

3 0
3 years ago
Read 2 more answers
Plese helpme I have problems in 4 ,5 I need find the missing side.
Allisa [31]
#4) From the reference angle of 58° we can see that we have the side opposite to that angle as well as the hypotenuse. Recall that sin=opp/hyp so we are going to use sine to find that side
sin(58°) = \frac{x}{19}        (multiply both sides by 19 to isolate x)
19 sin(58°) = x      (plug into calculator)
16.1 = x
#5) From the reference angle of 56°, we see that we have the adjacent and the opposite sides. Remember that tan=opp/adj so we will use tangent to find x
tan(56°) = \frac{12}{x}        (multiply both sides by \frac{1}{12})
\frac{tan(56)}{12} =  \frac{1}{x}          (flip them so x is on the top)
[tex] \frac{12}{tan(56)} = x
8.1 = x

8 0
3 years ago
Which description best compares the graphs given by the equations:
nexus9112 [7]

x - 5y = -5, -5x - 25y = 25

First, you'll need to get the x variable by itself.

x - 5y = -5<u>
</u><u>    +5    +5</u><u>
</u>       x = 0
So x is plotted on the 0.

For the second part of the first equation, you'll be looking for what the y variable represents.

x - 5y = -5
<u>-x           -x</u><u>
</u>     <u>-5y</u> = <u>-5</u><u>
</u><u>       5      5</u><u>
</u>        y = 1
So y is plotted on the 1 on the vertical line above the 0.

For the first part of the second equation, you'll do the same thing as in the first equation.

-5x - 25y = 25
<u>        +25   +25</u><u>
</u>          <u>-5x</u> = <u>50</u><u>
</u>            5      5
            x = 10
So the x for this equation is plotted on 10 on the horizontal line.

For the second part of the second equation, you will do the same thing as in the first equation.

-5x - 25y = 25
<u>+5               +5</u><u>
</u>       <u>-25y</u> = <u>30</u><u>
</u>        25      25
           y = 1.2
So the y for the second half of the second question is plotted on 1.2 on the vertical line.

<h2>Answer: B) Perpendicular</h2>

Perpendicular means the lines may or may not be of equal length and they will not be perfectly in line with each other.

Parallel means the lines may or may not be of equal length but will be perfectly in line with each other.

Intersecting means the lines may or may not be of equal length but will touch each other.

6 0
2 years ago
Solve this quadratic inequalitie with detailed full explanation
ANTONII [103]

x^2\leq16\\x\leq 4 \wedge x\geq -4\\x\in\langle-4,4\rangle

different approach:

x^2\leq16\\x^2-16\leq0\\(x-4)(x+4)\leq0

see attachment

x\in\langle-4,4\rangle

7 0
2 years ago
Read 2 more answers
Can someone help me with this question
Tasya [4]
I’m pretty sure you add 78+55= 133
180-133=47
so 9x+2=47
subtract 2 from 47 and itself
so 9x=45
divide 9 and 45 by 9
so x=5
8 0
3 years ago
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