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Illusion [34]
3 years ago
10

NL←→ is tangent to circle M at point N. What is the measure of ∠MLN?

Mathematics
2 answers:
IRINA_888 [86]3 years ago
7 0
Hi there!

We know that angle MNL is 90 degrees, because a tangent is perpendicular to the radius. Therefore, all we need to do is set up a simple equation.

WORK:
180 = 90 + 71 + x
x = 19

ANSWER:
Angle MLN = 19 degrees

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
nekit [7.7K]3 years ago
6 0
<span>NL←→ is tangent to circle M at point N
NL is perpendicular to MN
so
</span> ∠<span>NML = 90

</span><span> ∠MLN = 180 - 90 - 71
</span> ∠MLN = 19
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What are the two solutions of 2x^2 = -X^2 - 5x - 1?
Sidana [21]

Answer:

Step-by-step explanation:

Let's solve 2x^2 = -X^2 - 5x - 1.  Consolidate all terms on the left side and write 0 on the right side:

3x^2 + 5x + 1 = 0.  This is a quadratic equation.  Let's solve it for x using the quadratic formula:

a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13.  Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.

Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."  

Answer C would be correct if and only if we write y = x^2 - 5x - 1.

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3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
BabaBlast [244]

Hey!

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If g(x)=a x f(x+b) how is f(x) transformed to get g(x)
guajiro [1.7K]

Answer:

Ok, we know that g(x) = a*f(x + b), we want to find all the transformations that we must apply to f(x) to construct g(x).

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If we want to move the graph A (A positive) units to the right, we should have:

g(x) = f(x - A)

in this case we have

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So we have a shift of -b units to the right, or b units to the left.

Second:

We have a vertical contraction/dilation.

if we have a function f(x), a compression/dilation of scale factor A is written as:

g(x) = A*f(x)

if A > 1, we have a dilation.

if 0 < A < 1, we have a contraction.

In this case the scale factor is a.

g(x) = a*f(x).

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4 0
3 years ago
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The body of a 154-pound person contains approximately 2×10^2 milligrams of gold and 6×10^3 milligrams of aluminum. Based on this
hram777 [196]

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3 0
2 years ago
Please help :(<br> [math]
sergij07 [2.7K]

Hey!

------------------------------------------------

First Equation:

2x + 3 = -7

2x + 3 - 3 = -7 - 3 (Subtract 7 to both sides)

2x = -10

2x/2 = -10/2 (Divide 2 to both sides)

x = -5

------------------------------------------------

Second Equation:

4.5x - 7 = 20

4.5x + (-7) + 7 = 20 + 7 (Add 7 to both sides)

4.5x = 27

4.5x/4.5 = 27/4.5 (Divide 4.5 to both sides)

x = 6

------------------------------------------------

Third Equation:

-3x + 7 = 28

-3x + 7 - 7 = 28 - 7 (Subtract 7 to both sides)

-3x/-3 = 21/-3 (Divide -3 to both sides)

x = -7

------------------------------------------------

Answers:

2x + 3 = -7 → x = -5

4.5x - 7 = 20 → x = 6

-3x + 7 = 28 → x = -7

------------------------------------------------

Hope This Helped! Good Luck!

8 0
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