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Aleks04 [339]
3 years ago
6

Which expression can be simplified as

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
7 0
The answer is (n^-3)^6
The fourth option
Ymorist [56]3 years ago
5 0
Step by step:
The answer is (n^-3)^6
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What the equation parallel to y=-1/5x +7 and containing the point(-10,-3)
Agata [3.3K]

The equation of line parallel toy=-\frac{1}{5} x +7 and containing the point(-10,-3) is y=-\frac{1}{5}x-5

Step-by-step explanation:

We need to write the equation parallel to y=-\frac{1}{5} x +7 and containing the point(-10,-3)

The standard form of point slope equation is:

y=mx+b

where m is slope and b is y-intercept

Comparing the given equation  y=-\frac{1}{5} x +7 with standard form the slope is m= -1/5

Since the lines are parallel the slope of new line is m = -1/5

Now finding b (y-intercept)

Using slope m=-1/5 and point (-10,-3)

y=mx+b\\-3=-\frac{1}{5}(-10)+b\\-3=2+b\\b=-3-2\\b=-5

So, b= -5 and slope = -1/5 the equation of new line is:

y = mx+b\\y=-\frac{1}{5}x-5

So, The equation of line parallel toy=-\frac{1}{5} x +7 and containing the point(-10,-3) is y=-\frac{1}{5}x-5

Keywords: Point Slope form

Learn more about point slope form at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240
  • brainly.com/question/4097107

#learnwithBrainly

7 0
3 years ago
Max z = 3x1 + 5x2 subject to: 7x1 + 12x2 ≤ 136 3x1 + 5x2 ≤ 36 x1, x2 ≥ 0 and integer find the optimal solution. what is the valu
Reptile [31]
The second constraint is the same as the objective function, so your problem boils down to finding integer solutions to
.. 3x1 +5x2 = 36

There are 3 solutions. They are (x1, x2) = (12, 0), (7, 3), (2, 6)

The value of the objective function there is (obviously) 36.
4 0
3 years ago
Julia is standing 2 feet away from a lamppost. If she casts a shadow of 5 feet and the light makes a 20° angle relative to the g
givi [52]

Answer:

2.5477 feet

Step-by-step explanation:

Refer the image attached to understand my solution.

BC = height of lamppost.

DE = Julia

AD = shadow of Julia

BD = 2 feet.      AD = 5 feet

BA = BD + AD

       = 2 + 5 = 7 feet

In ΔABC

tan 20° = \frac{BC}{BA}  = \frac{BC}{7}

BC = 7 * tan 20°

BC = 2.5477 feet

SO the height of lamppost = 2.5477 feet

5 0
3 years ago
Which number line model represents the expression -4+7.5?
vlada-n [284]

Answer:

A)

Step-by-step explanation:

6 0
3 years ago
This is 4/8 questions im giving brainliest for pls help me :D
3241004551 [841]
I don't really know but I think that it's B
6 0
3 years ago
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