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klasskru [66]
3 years ago
13

Please give me the correct answer.​

Mathematics
1 answer:
Elena L [17]3 years ago
8 0

Answer:

-m + 6 = 3m + 14

Step-by-step explanation:

Given:

-(m - 6) = 3m + 14

Required:

Multiply (m - 6) by -1.

Solution:

To multiply (m - 6) by -1, we would be applying the distributive property. This means that we would multiply each term in the parentheses by -1.

Thus:

-1(m) -1(-6) = 3m + 14

The result would be:

-m + 6 = 3m + 14 (negative times negative = positive)

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2) The coordinates of the vertices of quadrilateral ABCD are A(-1,8),
Verizon [17]

Answer:

The coordinates of vertices of A'B'C'D' are:

A'(1,-8), B'(0,-4), C'(2,-1) and D'(4,-3)

Step-by-step explanation:

When a point (h,k) is roated 180 degrees about the origin it becomes (-h,-k) which means that the new point after rotation is the negative of the previous.

Given vertices are:

A(-1,8),  B(0,4), C(-2,1), and D(-4,3)

The new vertices will be:

A(-1,8) => A'(1,-8)\\B(0,4)=> B'(0,-4)\\C(-2,1)=> C'(2,-1)\\D(-4,3)=> D'(4,-3)

The coordinates of vertices of A'B'C'D' are:

A'(1,-8), B'(0,-4), C'(2,-1) and D'(4,-3)

3 0
3 years ago
Convert y=9 from rectangular to polar form
Crazy boy [7]

Answer:

r = 9/sin Ф or r = 9 csc Ф

Step-by-step explanation:

The polar form is represented as:

x = r cos Ф and

y = r sin Ф

We are given:

y = 9

Putting value in y = r sin Ф

9 = r sin Ф

=> r = 9/sin Ф

1/sin Ф = csc Ф

or, r = 9 csc Ф

5 0
3 years ago
Read 2 more answers
Given: 8x-61=17, prove: 39/4
Degger [83]

Answer:

The solution is x = \frac{39}{4}

Step-by-step explanation:

We are given the following equation:

8x - 61 = 17

We want to find the solution, that is, the value of x. So

8x - 61 = 17

8x = 78

x = \frac{78}{8}

Simplifying by 2

x = \frac{39}{4}

The solution is x = \frac{39}{4}

8 0
3 years ago
What is 28.5 rounded to the nearest one
kumpel [21]

Answer:

29

Step-by-step explanation:

anythin0.5 or higher you round up so for 28.5 you round up to 29.

hope this helps. :)

8 0
3 years ago
Read 2 more answers
Quality control studies for Speedy Jet Computer Printers show the lifetime of the printer follows a normal distribution with mea
Anika [276]

Answer:

About 3 years Speedy Jet printers be guaranteed.

Step-by-step explanation:

Given : Quality control studies for Speedy Jet Computer Printers show the lifetime of the printer follows a normal distribution with

mean \mu = 4 and standard deviation  \sigma = 0.78

If the company wishes to replace no more than 10% of the printers.

To find : How long should Speedy Jet printers be guaranteed ?

Solution :

Using Z- table,  

Z value corresponding to 10% or 0.10 = -1.28.

Applying z-score formula,

z=\frac{x-\mu}{\sigma}

The value of x is given by,

x=(z\times \sigma)+\mu

Substitute the values,

x=(-1.28\times 0.78)+4

x=-0.9984+4

x=3.0016

So, approx 3 years.

Therefore, About 3 years Speedy Jet printers be guaranteed.

8 0
3 years ago
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