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Stella [2.4K]
3 years ago
8

Select all the correct answers.

Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0

Answer:

The measure of the Reference angle is 30vdegrees and the second answer should be Tan(0)=1

Step-by-step explanation:

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Find the minimum distance between the point (-3,2) and the line y = -x + 1
Natasha2012 [34]

The minimum distance  between the point(-3,2) and the line y = -x + 1  is \sqrt{2} units.

<h3>What is a line segment?</h3>

The line that joins  two points on a cartesian plane is a line segment.

Analysis:

The formula for calculating distance between a line and a point is

d = \frac{Ax1 + By1 + c}{\sqrt{A^{2} + B^{2}  } }

where A = coefficient of x term of the line, B = coefficient of y in the line and C is the constant term of the line.

x1 and y1 are coordinates of the point.

for the line y = -x + 1 which is  = y + x -1 = 0, A = 1, B = 1, C = -1, x1 = -3, y = 2
d = \frac{1(-3) + 1(2) + (-1)}{\sqrt{(-3)^{2}  + 2^{2} } }= \sqrt{2} units

In conclusion, the distance between the point and the line is  \sqrt{2} units

Learn more about distance between line segments: brainly.com/question/2437195

#SPJ1

4 0
2 years ago
Find f^-1(x) if f(x)=2x+1
weeeeeb [17]

Answer:

x^2+x+c

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
N divided Into 8 is what
Goryan [66]

Answer:

\frac{N}{8}

Dividing is the same as putting numbers into a fraction. This is N/8. We don't get the answer until we figure out what N is equal to.

7 0
3 years ago
Select the simplification that accurately explains the following statement.
Mariana [72]

<u>Answer</u>

D


<u>Explanation</u>

9⁽¹/²⁾² =  (9⁽¹/²⁾)²

        = 9¹/² × 9¹/²           (Since the base are the same, we can add the power.)

         = 9⁽¹/² ⁺¹/²⁾

         = 9 ¹

           = 9

The correct simplification is D.

8 0
3 years ago
.........................................................................
Sonbull [250]

Answer:

When a habitat is destroyed, the carrying capacity for indigenous plants, animals, and other organisms is reduced so that populations decline, sometimes up to the level of extinction. Habitat loss is perhaps the greatest threat to organisms and biodiversity.

Step-by-step explanation:

5 0
2 years ago
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