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KATRIN_1 [288]
3 years ago
15

Fine the slope of the line through each pair of points . (-8,-20),(5,2)

Mathematics
2 answers:
kozerog [31]3 years ago
7 0

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-8, -20) and (5, 2). Substitute:

m=\dfrac{2-(-20)}{5-(-8)}=\dfrac{22}{13}

Answer: The slope is \dfrac{22}{13}

kow [346]3 years ago
4 0

Hello username!

Explanation:

Slope-intercept form: → y=mx+b

m: represents the slope and is constant.

b: represents the y-intercept.

rise/run

m=\frac{rise}{run}

m=\frac{y^2-y^1}{x^2-x^1}

x^1,y^1=(-8,-20)

x^2,y^2=(5,2)

\frac{2-(-20)=2+20=22}{5-(-8)=5+8=13}=\frac{22}{13}

But the slope is 22/13.

Answer: \boxed{=22/13}

Hope this helps!

Thank you :)

-Charlie

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6 0
2 years ago
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
2f -g
Sever21 [200]

Answer:

2x4   -  5x1x3 {bracket means times] =8-15=-7

Step-by-step explanation:

2f=2xf=2x4=8

-

g=5x1x3=15

=8-15

=-7

4 0
3 years ago
The ratio of roses to carnations is 7 to 5. If 96 flowers are needed for table decorations,
coldgirl [10]

Answer: 56 roses and 40 carnations are needed.

Step-by-step explanation: <u>Here’s the table of ratios that’ll help you find how many roses and carnations are needed to make a total of 96 flowers for table decorations:</u>

7:5 /14:10 /21:15 /28:20 /35:25 /42:30 /49:35/ 56:40/

*56 + 40 = 96

Hence, 56 roses and 40 carnations are needed if 96 flowers are needed for table decorations.

<u></u>

8 0
2 years ago
What is the slope of the line with the equation 8x + 3y = 9?
Sidana [21]
8x+3y=9
-8x. -8x
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y = -8/3x +3
so, slope is -8/3
6 0
3 years ago
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