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makvit [3.9K]
3 years ago
5

Find an equation of a line containing the point (-6,3) and has slope - 1/3

Mathematics
1 answer:
AfilCa [17]3 years ago
7 0

Answer: y=-1/3x+1

Step-by-step explanation:

To find an equation that contains the given point and has the same slope, we can plug it into slope-intercept form to find the y-intercept.

3=-1/3(-6)+b         [multiply]

3=2+b                   [subtract both sides by 2]

b=1

Now that we know the y-intercept, we know that the equation is y=-1/3x+1.

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6. Christopher wants to leave a 15% tip for his breakfast. His breakfast cost $23.00, how
Anestetic [448]

Answer:

$3.45

Step-by-step explanation:

The tip is 15% of his breakfast, that means 15% of 23

That is 15%* 23= 15*23/100= 3.45 $

The tip is $3.45

Have a good day.

7 0
3 years ago
Simplify for a lot of points<br> (1-sin^2x)(1-tan^2x)
notka56 [123]
1/sin^2x-1/tan^2x=
1/sin^2x-1/ (sin^2x/cos^2x)<<sin tan= sin/cos>>
= 1/sin^2x- cos^2x / sin^2x
= (1- cos^2x) / sin^2x <<combining into a single fraction>>
sin^2 x / sin^2x <<since 1- cos^2 x sin^2 x

=1
this simplifies to 1.
6 0
3 years ago
Change the improper fraction to a mixed number. 15/4
AleksAgata [21]
3 3/4 this would be your answer hope this is helpful
8 0
3 years ago
Read 2 more answers
What is the exact value of arccos(−2√2) ?
Strike441 [17]

Answer:

See explanation

Step-by-step explanation:

The range of the cosine function is -1\le \cos x\le 1

Therefore arc \cos (-2\sqrt{2}) is not defined.

Assuming your question is rather arc \cos (-\frac{\sqrt{2}}{2})

Then arc \cos (-\frac{\sqrt{2}}{2})=\pi-arc \cos (\frac{\sqrt{2}}{2})  in the second quadrant.

arc \cos (-\frac{\sqrt{2}}{2})=\pi-\frac{\pi}{4}

arc \cos (-\frac{\sqrt{2}}{2})=\frac{3\pi}{4}

4 0
3 years ago
What are the x-intercept of the quadratic function y- x^2 +2x - 35?a. -1b. 7 and -5c. -7 and 5d. -32 and 2
Darina [25.2K]
<span>y = x^2 +2x - 35</span>
x-intercept y=0
0 = <span>x^2 +2x - 35
</span>0 = <span>x^2 -5x + 7x - 35  //factoring with leading coefficient
</span>0 = x(x-5) + 7(x-5)
0 = (x+7)(x-5)
x=-7 or x=5
answer: C. -7 and 5

4 0
3 years ago
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