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Andrej [43]
3 years ago
11

Write the slope-intercept form of the equation of the line 3x - 2y = -16

Mathematics
1 answer:
denis-greek [22]3 years ago
5 0
We will solve for y.
-3x-16=-2y


Divide both sides by -2
y=\frac{3}{2}x + 8


<u>Slope-intercept form</u>

y=\frac{3}{2}x + 8
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Given that tan^2 theta=3/8,what is the value of sec theta?
algol [13]

Answer:

The value of SecФ is  \pm \sqrt{\frac{11}{8}} .

Step-by-step explanation:

Given as for trigonometric function :

tan²Ф = \frac{3}{8}

Or, tanФ = \sqrt{\frac{3}{8} }

∵ tanФ = \frac{Perpendicular}{Base}

So,  \frac{Perpendicular}{Base} =  \sqrt{\frac{3}{8} }

So, Hypotenuse² = perpendicular² + base²

or, Hypotenuse² = ( \sqrt{3} )² + ( \sqrt{8} )²

Or,  Hypotenuse² = 3 + 8 = 11

Or,  Hypotenuse = ( \sqrt{11} )

Now SecФ = \frac{Hypotenuse}{Base}

or, SecФ = \frac{\sqrt{11}}{\sqrt{8}} = \sqrt{\frac{11}{8} }

<u>Second Method</u>

Sec²Ф - tan²Ф = 1

Or, Sec²Ф = 1 +  tan²Ф

or, Sec²Ф = 1 +  \frac{3}{8}

Or, Sec²Ф = \frac{11}{8}

Or,  SecФ = \pm \sqrt{\frac{11}{8}}

Hence The value of SecФ is  \pm \sqrt{\frac{11}{8}} . Answer

7 0
3 years ago
Read 2 more answers
Consider triangle abc what is the value of y in the triangle
Yakvenalex [24]

Answer:

y = 50

Step-by-step explanation:

All triangle angles add up to 180 degrees.

To set this equation up, you need to add everything given in the triangle and set it equal to 180:

y + y + 80 = 180

<em><u>Add like terms:</u></em>

2y + 80 = 180

<u><em>Subtract 80 from both sides:</em></u>

2y + 80 = 180

     - 80   - 80

___________

2y = 100

<u><em>Divide both sides by 2:</em></u>

y = 50

<u><em>If you're unsure, you can plug in the 50 for y:</em></u>

y + y + 80 = 180

50 + 50 + 80 = 180

100 + 80 = 180

180 = 180

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3 years ago
What numbers can i add to equal 17
Kay [80]
1+16
15+2
9+8
6+11
5+12
3+14
8 0
3 years ago
At the city museum, child admission is $5.20 and adult admission is $9.90 . On Monday, twice as many adult tickets as child tick
DiKsa [7]
To solve this, I would just find what two adult tickets and one child ticket wold be worth.

To find that, just do:

5.20 + 9.90 * 2, which makes 25.

So now you just find how many 25s are in 900, or 36.

So 36 children's tickets were sold that day.

Hope I helped :)
7 0
3 years ago
Simplify 5 (6-3)+2
KATRIN_1 [288]

Answer:

C)

Step-by-step explanation:

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3 years ago
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