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damaskus [11]
3 years ago
7

You can show your work if u want to Find 2 numbers if Their sum is −7 and their difference is 14

Mathematics
1 answer:
Pepsi [2]3 years ago
7 0

The larger number is (-7+14)/2 = 3.5.

The smaller number is (-7-14)/2 = -10.5.

_____

The two equations a+b=-7, a-b=14 can be solved to get these results. It is genrally convenient to solve them by adding one to the other, or subtracting one from the other.

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Choose the correct written expression for: 25 – (3 x 4).
just olya [345]

Answer:

the quotient of 3 and 4 subtracted from 25.

Step-by-step explanation:

3 0
3 years ago
Yana is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown below: A trian
kolezko [41]

Please see attached file for the triangle’s figure:

 

Going with the image attached, if DE is parallel to BC<span>
then
<span>4: (4 + 5) = 6 : (6 + 7).

Therefore, the inequality that she will use to contradict the assumption</span> is 4:9 ≠ 6:13</span>.

To add, a relation that holds between two values when they are different in mathematics is called an inequality. A is not equal to b also means the notation a ≠ b.

<span><span>

</span>Inequalities are governed by the following properties<span>:

Transitivity</span></span>
 Converse
 Addition and subtraction
 Multiplication and division
 Additive inverse
 Multiplicative inverse
<span>Applying a function to both sides</span>

7 0
3 years ago
Read 2 more answers
What k-1/3=5/6 equal ?
JulijaS [17]
The value of "K"

k -\frac{1}{3} = \frac{5}{6}

MMC (3,6)
3,6 | 3
1,2 | 2
1,1 |__ 3*2 = 6

Solving:
k -\frac{1}{3} = \frac{5}{6}
\frac{6k}{6} - \frac{2}{6} = \frac{5}{6}
cancel denominators (6)
6k - 2 = 5
6k = 5+2
6k = 7
\boxed{k =  \frac{7}{6} }


7 0
3 years ago
Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below.
Nikitich [7]

Answer:

C. (x + 4)² + y² = 5

Step-by-step explanation:

i just did it

6 0
3 years ago
Read 2 more answers
The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 mm and standard d
skelet666 [1.2K]

Answer:

z=-0.842

And if we solve for a we got

a=30 -0.842*7.8=23.432

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

Step-by-step explanation:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(30,7.8)  

Where \mu=30 and \sigma=7.8

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.80   (a)

P(X   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.842

And if we solve for a we got

a=30 -0.842*7.8=23.432

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

8 0
3 years ago
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