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diamong [38]
3 years ago
9

Indicate the equation of the given line in standard form. The line with slope and containing the midpoint of the segment whose e

ndpoints are (2, -3) and (-6, 5).
Mathematics
1 answer:
Tems11 [23]3 years ago
8 0

Answer:

x + y = -1

Step-by-step explanation:

To write the equation of a line, find the slope and use it with a point in the point slope form.

You can find the slope using the slope formula.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{5--3}{-6-2} = \frac{8}{-8}=-1

Substitute m = -1 and the point (2,-3) into the point slope form.

y - y_1 = m(x-x_1)\\y --3 = -1(x-2)\\y+3=-1(x-2)

Convert to standard form by applying the distributive property and rearranging the terms.

y+3 = -1(x-2)

y + 3 = -x + 2

x + y + 3 = 2

x + y = -1

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9. Given the point (6,-8) values of the six trig function.
lozanna [386]

Answer:

Here's what I get.

Step-by-step explanation:

9. (6, -8)

The reference angle θ is in the fourth quadrant.

∆AOB is a right triangle.

OB² = OA² + AB² = 6² + (-8)² = 36 + 64 = 100

OB = √100 = 10  

\sin \theta = \dfrac{-8}{10} = -\dfrac{4}{5}\\\\\cos \theta =\dfrac{6}{10} = \dfrac{3}{5}\\\\\tan \theta = \dfrac{-8}{6} = -\dfrac{4}{3}\\\\\csc \theta = \dfrac{10}{-8} = -\dfrac{5}{4}\\\\\sec \theta = \dfrac{10}{6} = \dfrac{5}{3}\\\\\cot \theta = \dfrac{6}{-8} = -\dfrac{3}{4}

10. cot θ = -(√3)/2

The reference angle θ is in the second quadrant.

∆AOB is a right triangle.

OB² = OA² + AB² = (-√3)² + (2)² = 3 + 4 = 7

OB = √7

\sin \theta = \dfrac{2}{\sqrt{7}} = \dfrac{2\sqrt{7}}{7}\\\\\cos \theta = \dfrac{-\sqrt{3}}{\sqrt{7}} = -\dfrac{\sqrt{21}}{7}\\\\\tan \theta = \dfrac{2}{-\sqrt{3}} = -\dfrac{2\sqrt{3}}{3}\\\\\csc \theta = \dfrac{\sqrt{7}}{2} \\\\\sec \theta = \dfrac{\sqrt{7}}{-\sqrt{3}} = -\dfrac{\sqrt{21}}{3}\\\\\cot \theta = -\dfrac{\sqrt{3}}{2}

3 0
3 years ago
PLEASE HELP I cannot get this wrong WILL MARK BRAINLIEST
Nana76 [90]

The answer is graph number 2

8 0
3 years ago
HELP WITH MATH PLEASE
sergey [27]

Answer:

1) (-3,-2)

2) x=-3

Step-by-step explanation:

1) The vertex of a parabola is the turning point that is the minimum or maximum of the graph, based on the shape of the parabola. In this case, the vertex is the minimum. By looking at the coordinate points, we can tell that the minimum value where the graph changes the direction is at (-3,-2).

2) The line of symmetry is the line on the graph that cuts the shape exactly in half. This means that if you were to fold the graph along this line, the two sides would be identical. All parabolas have a line of symmetry and it always matches the vertex. The equation for the line of symmetry will be x= whatever the x-value of the vertex is. So, for this graph, the line of symmetry is x=-3.

7 0
2 years ago
Lisa has 3 quarts of milk. Sanjay has 12 pints of milk. Who has more?
Ira Lisetskai [31]

Sanjay, because quarts are twice as big as pints.

Step-by-step explanation:

Given

Milk quantity for Lisa = 3 quarts

Milk quantity for Sanjay = 12 pints

We have to convert both quantities in same unit so that we can compare both quantities.

We know that there are two pints in a quart.

So,

Lisa will have:

3*2 = 6 pints of milk

Hence,

Sanjay, because quarts are twice as big as pints.

Keywords: Units, measurement

Learn more about units at:

  • brainly.com/question/8280736
  • brainly.com/question/8224301

#learnwithBrainly

4 0
3 years ago
1. If you drive 100 kilometers in 20 seconds, what is your average speed in
shepuryov [24]

Answer:

You will drive 5 kilometers a second

Step-by-step explanation: To determine how many kilometers you will drive in one second, you need to take the data already given to you and use it to solve this problem. First you need to take the amount of kilometers you drive in 20 seconds which is 100, and divide it by 20 to find out the answer to this problem.

4 0
3 years ago
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