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Liono4ka [1.6K]
4 years ago
7

What is the point-slope form of the equation of a line that passes through the point (6, −8) and has a slope of −2?

Mathematics
1 answer:
Vilka [71]4 years ago
5 0
General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\
a-\ slope\\a=-2\\\\y=-2x+b\\\\Substitute\ point\ (6,-8)\\\\
-8=-2*6+b\\
-8=-12+b\ \ \ |Add\ 12\\
4=b\\\\
Equation\ of\ line:\\
y=-2x+4.
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Evaluate 3a-2b when a =-4 and b=-1
TEA [102]
Just plug in answers... its -12--2 which becomes -12+2 and you get
10
Hope this helps you!!!
7 0
3 years ago
Convert 1/4 inch into millimeters
Likurg_2 [28]
1 in equals 25.4mm exactly so

.25in(25.4mm/in)=6.35mm
6 0
4 years ago
Read 2 more answers
Choices are:<br> A + 95<br><br> B -95<br><br> C +8<br><br> D -8
Lapatulllka [165]

Answer:

A. +95

Step-by-step explanation:

  1. Above = positive
  2. So, 95 feet above sea level = +95
  3. Therefore, A is the correct option

I hope this helps!

3 0
3 years ago
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PLZ HELP ASAP SIMILAR AND CONGRUENT TRIANGLES
Stells [14]
We know that

in the triangle ROA
tan (∡ROA)=12/5
(∡ROA)=arc tan(12/5)---------> 67.38°

in the triangle OPA
(∡POA)=(∡ROA)-------> 67.38°
sin (∡POA)=PA/5-------> PA=5*sin (67.38°)-----> 4.62 units

the answer is
PA=4.62 units


<span>alternative method

</span>in the triangle ROA
RO²=12²+5²-------> RO=13 units
sin (∡ROA)=12/13

in the triangle OPA
(∡POA)=(∡ROA)
sin (∡POA)=12/13
sin (∡POA)=PA/5
12/13=PA/5-------> PA=12*5/13-------> PA=4.62 units


7 0
3 years ago
See your levels
ziro4ka [17]

Answer:

  12 meters

Step-by-step explanation:

The assumption regarding shadow lengths is that they are proportional to height at any given place and time.

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Here, the streetlamp is 9/6 = 3/2 times as tall as the tree, so we expect its shadow to be 3/2 times the length of the tree's shadow.

  (3/2)(8 m) = 12 m

The streetlamp's shadow is 12 meters long.

7 0
3 years ago
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