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4 years ago

Write two different pairs of negative integers x and y, that make the statement x-y=2 true.

Mathematics

2 answers:

Contact [7]4 years ago

8 0

Answer:

x = -1

y = -3 or

x = -3

y = -5

Step-by-step explanation:

-1 - (-3) =

-1 + 3 = 2

-3 - (-5) =

-3 + 5 = 2

arlik [135]4 years ago

3 0

Answer:

It can be any negative pair of numbers that when you substitute in the equation you get 2 as an answer,

For example:

x = -17 and y = -19

x= - 5 and y = -7

x= -3 and y = -5

Step-by-step explanation:

Negative integers are all the negative numbers or all the numbers below 0.

So, in this case, you have to look for negative numbers that if you put in the equation you get 2.

x-y=2

In this equation it says that you need to subtract y from x, (-y), if y has to be a negative number, if, for example, we say that <em>y = -4</em> then we will have this after substituting in the equation:

x - (-4) = 2

If we have two negative together multiplying like in this case - (-4) then it becomes positive:

-(-4) = +4, because equal sings make a positive.

If we substitute in the original equation we have:

x + 4 = 2

Now we can get the answer for x

x = 2-4

x= - 2

If we send y to the other side of the equation,

x= 2+y, every time we choose a negative number for y we will have a number for x that is y plus 2. This is why you can get any negative number for one variable and then substitute in this equation x= 2+y and get a result for the other variable.

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4 years ago

Find the measure of b.<br> please help!

Assoli18 [71]

<h3>Answer: 40</h3>

=======================================================

Explanation:

The inscribed angle 20 degrees doubles to 2*20 = 40 which is the measure of the central angle, and the arc in which the inscribed angle subtends (or cuts off). This is due to the aptly named inscribed angle theorem.

------------

A slightly longer alternative path would be to do this:

The triangle with interior angles 20 and c is isosceles. Note how the missing angle up top is one of the congruent base angles, so the missing angle is 20 degrees. That means angle c is...

20+20+c = 180

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Then angle b is supplementary to this

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This path leads to the same answer. It's slightly longer, but it's a path you can take if you aren't familiar with the inscribed angle theorem.

In fact, this line of thinking is effectively how the inscribed angle theorem is proved as shown in the diagram below.

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3 years ago

A sample of 2,500 people was asked how many cups of coffee they drink in the morning. You are given the following sample informa

Misha Larkins [42]

Answer: V(X) = 0.96

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For a discrete frequency distribution is calculated following the steps:

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$E(X)=\frac{\Sigma xf}{\Sigma f}$

$E(X)=\frac{0(700)+1(900)+2(600)+3(300)}{2500}$

E(X) = 1.2

2) Multiply frequency and the squared difference of x and expected value:

$f(x-E(X))^{2}$

$700(0-1.2)^{2}=1008\\900(1-1.2)^{2} = 36\\600(2-1.2)^{2} = 384\\300(3-1.2)^{2} = 972$

3) Add them:

$\Sigma [f(x-E(X))^{2}]$ = 1008 + 36 + 384 + 972 = 2400

4) Divide the sum per frequency total:

$V(X)=\frac{\Sigma [f(x-E(X))^{2}]}{\Sigma f}$

$V(X)=\frac{2400}{2500}$

V(X) = 0.96

The variance of the number of cups of coffee is <u>0.96</u>.

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3 years ago

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andreev551 [17]

Answer:

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Step-by-step explanation:

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3 years ago