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yanalaym [24]
3 years ago
11

Which number line can be used to find the distance between (4, -1) and (8,-1)?

Mathematics
2 answers:
dangina [55]3 years ago
4 0
The answer to your question is a
allochka39001 [22]3 years ago
3 0

Answer:

the first one

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He equation 2x + 8 = 2(x + 5) has
Illusion [34]

Answer:

No solution.

Step-by-step explanation:

The equation 2x + 8 = 2(x + 5) has no solution  as we see if we simplify it:

2x + 8 = 2x + 10

2x - 2x = 10 -8

0 = 2 which is absurd.

6 0
3 years ago
Molten lava 50-feet thick cools at a rate of about 20 degrees Fahrenheit per month. What is the overall change in temperature of
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80 degrees over the course of four months
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3 years ago
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How many distinct triangles can be formed for which m∠X = 51°, x = 5, and y = 2? zero one two
Vitek1552 [10]
From the law of sines, we have:

\displaystyle{ \frac{\sin \angle X}{x}= \frac{\sin \angle Y}{y}, 

where x and y are the sides opposite to angles X and Y, respectively.


Substituting the known values, we have:



\displaystyle{ \frac{51^{\circ}}{5}= \frac{\sin \angle Y}{2}, thus

                           \displaystyle{ \sin \angle Y=\frac{\sin 51^{\circ}}{5}\cdot2\approx \frac{0.777}{5}\cdot2=0.31.


Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.

We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.

Thus, there is only one triangle that can be formed under these conditions.


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3 years ago
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Set up and evaluate the optimization problems. (Enter your answers as comma-separated lists.) Find two positive integers such th
alexira [117]

Answer and Step-by-step explanation:

Let x and y be two positive integers and their sum is 14:

X + y = 14

And the sum of square of this number is:

f = x2 + y2

 = x2+ (14 – x)2

Differentiate with respect to x, we get:

F’(x) = [ x2 + (14 – x)2]’ = 0

        2x + 2(14-x)(-1) = 0

        2x +( 28 – 2x)(-1) = 0

     2x – 28 +2x = 0

        2x + 2x = 28

         4x = 28

       X = 7

Hence, y = 14 – x = 14 -7 = 7

Now taking second derivative test:

F”(x) > 0

For x = y = 7,f reaches its maximum value:

(7)2 + (7)2 = 49 + 49

                   = 98

F at endpoints x Є [ 0, 14]

F(0) = 02 + (14 – 0)2

       =  196

F(14) = (14)2 + (14 – 14)2

  = 196

Hence the sum of squares of these numbers is minimum when x = y = 7

And maximum when numbers are 0 and 14.

6 0
2 years ago
Solve for x<br> 4 (æ – 6) = 8
iogann1982 [59]

Answer:

8im thinking

Step-by-step explanation:

but is ae the x?

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