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Andrei [34K]
3 years ago
11

Which absolute value expression represents the distance between 3 and −5 on a number line?

Mathematics
1 answer:
lora16 [44]3 years ago
3 0

Answer:

B) To represent  the distance between 3 and −5 on a number line,  the correct expression is  I(3) - (-5)I .

Step-by-step explanation:

Here the point A is given as 3 on number line.

Point B is given as -5 on number line.

To find :  IA-BI

The distance between any two point A and B is given as IA-BI.

Now, to find the absolute value:

IA-BI = I  (3) - (-5)I

or, IA-BI = I (3) + 5I  = I8I

= 8 units

or, IA-BI = 8 units

Hence, on the number line, the distance between -5 and 3 is 8 units.

And, to represent  the distance between 3 and −5 on a number line,  the correct expression is  I(3) - (-5)I .

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Which binomial is a factor of the quadratic trinomial x2 − 7x + 12? A. (x + 2) B. (x − 6) C. (x + 3) D. (x − 4)
White raven [17]

Answer:

D

Step-by-step explanation:

To factor a quadratic you need to think about what adds up to the b coefficient (the number in front of b) and multiplies to the constant. 3 and 4 do these, but you also know that you have -7 instead of positive 7. A negative times a negative is equal to a positive, which you can do (x-3)(x-4) to equal your quadratic trinomial.

7 0
3 years ago
How many liters of water containing 7 grams of salt per liter must be combined with x liters of water which contains y grams [y
iVinArrow [24]

Answer:

\frac{(2-y)x}{5}\text{ litres}

Step-by-step explanation:

Let l litre of 7 grams of salt per litre is combined with x litres of water which contains y grams of salt per litre to yield a solution with 2 grams of salt per litre.

Thus,

Salt in l litre + salt in x litre = salt in resultant mixture

7l + xy = 2(l +x)

7l + xy = 2l + 2x

7l - 2l = 2x - xy

5l = x(2-y)

\implies l =\frac{x(2-y)}{5}

Hence, \frac{x(2-y)}{5} litres of 7 gram of salt per litre is mixed.

5 0
3 years ago
Can you pls help me with this<3
lina2011 [118]

Answer:

Here is the ans...hope it helps

8 0
3 years ago
Based on the graph, what is the perimeter of an octagon?​
Ghella [55]

Answer:

The perimeter of the regular octagon is 104 units

Step-by-step explanation:

we know that

The segment LM is the length of one side of the octagon

we have the coordinates

L(-6,-2) and M(6,3)

step 1

Find the distance LM

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute the values

d_L_M=\sqrt{(3+2)^{2}+(6+6)^{2}}

d_L_M=\sqrt{(5)^{2}+(12)^{2}}

d_L_M=\sqrt{169}

d_L_M=13\ units

step 2

Find the perimeter

we know that

A regular octagon has eight equal sides

so

To find out the perimeter, multiply by 8 the length of the segment LM

P=8(13)=104\ units

5 0
3 years ago
Choose the most accurate statement based on the graph shown.
Eddi Din [679]
The most accurate would be the second statement: <span>The graph is misleading because it uses 3-dimensional bars.

The vertical range is just enough. It only appears small because the bars are in 3D. It should have been in 2D so that we could directly trace it to how much frequency each category is. Even the axes are in 3D also.</span>
4 0
3 years ago
Read 2 more answers
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