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siniylev [52]
3 years ago
15

What is the midpoint of the line whose end points are (5,9) and (-3,7).

Mathematics
2 answers:
padilas [110]3 years ago
6 0
(1, 8)  I used GeoGebra.

AysviL [449]3 years ago
5 0
Midpoint= \frac{x_{2}+ x_{1}}{2} ,  \frac{y_{2}+ y_{1}}{2}
              = \frac{5+(-3)}{2} ,  \frac{9+7}{2}
              = 1, 8
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Please help me out it would make my day!​
nlexa [21]

Answer:

Last option: Square both sides of the equation in step 1 to eliminate the square root.

Step-by-step explanation:

The error is in the process of subtracting 3 from both sides, since +3 is inside the root.

In order to be able to operate with the terms that are inside the root, we need to eliminate the root, and for that we need to square both sides of the equal sign.

6 0
2 years ago
PRECal please help right answer only
Svetlanka [38]

What does x² look like?   <em>goes to +∞ on the left and the right</em>

Well, x⁴ is an even exponent so it is has the same end behavior as x².

Answer: +∞


8 0
3 years ago
Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and the local extrema. f (x )equa
Kaylis [27]

Answer:

f(x) is increasing in the intervals (-∞,-4) and (9,∞)

f(x) is decreasing in the ingercal (-4,9)

The local extrema is:

local max at (-4,496)

and local min at (9,-1701)

Step-by-step explanation:

In order to solve this problem we must start by finding the derivative of the provided function, which we can find by using the power rule.

if f(x)=ax^{n} then f'(x)=anx^{n-1}

so we get:

f(x)=2x^{3}-15x^{2}-216x

f'(x)=6x^{2}-30x-216

in order to find the critical points we mus set the derivative equal to zero, since the local max an min will happen when the slope of the tangent line to the given point is zero, so we get:

6x^{2}-30x-216=0

we can solve this by factoring, so let's factor that equation:

6(x+4)(x-9)=0

we can now set each of the factors equal to zero so we get:

x+4=0 and x-9=0

when solving each for x we get that:

x=-4 and x=9

These are our critical points, now we can build the possible intervals we are going to use to determine where the function will be increasing and where it will be decreasing:

(-∞,-4), (-4,9) and (9,∞)

so now we need to test these intervals in the derivative to see if the graph will be increasing or decreasing in the given intervals. So let's pick x=-5 for the first one, x=0 for the second one and x=10 for the third one.

When evaluating them into the first derivative we get that:

f'(-5)=84, this is a positive answer so it means that the function is increasing in the interval (-∞,--4)

f'(0)=-216, this is a negative anser so it means that the function is decreasing in the interval (-4,9)

f'(10)=84, this is a positive answer so it means that the function is increasing in the interval (9,∞)

Now, for the local extrema, we can see that at x=-4, the function it's increasing on the left of this point while it's decreasing to the right, which means that there will be a local maximum at x=-4, so the local max is the point (-4,496)

We can see that at x=9, the function it's decreasing on the left of this point while it's increasing to the right, which means that there will be a local minimum at x=-9, so the local min is the point (9,-1701)

7 0
3 years ago
Carol walked 1 1/3 miles on Monday. 35/6 miles on Tuesday, and 2 miles on Wednesday. About how far did she walk altogether?
Dmitry_Shevchenko [17]

Answer:

9 1/6 miles

Step-by-step explanation:

Add the mixed number by the improper fraction.

1 + 1/3 + 35/6

Solve the fractions first.

In order to have both of the fractions have the same denominator, find the Least Common Multiple of both of the fractions.

1/3 = 2/6

2/6 + 35/6 = 37/6

Turn the improper fraction into a mixed number by dividing the the numerator by the denominator. When you get your quotient, use the remainder as the new numerator over the denominator.

37/6 = 6 1/6

Now, add the 1.

6 1/6 + 1 = 7 1/6

Now, add the 2 miles that Carol walked on Wednesday.

7 1/6 + 2 = 9 1/6

So, Carol walked about 9 1/6 miles on Monday, Tuesday, and Wednesday all together.

4 0
3 years ago
Read 2 more answers
Select all that apply.
Marat540 [252]

Answer:

14

20

18

24

Step-by-step explanation:

36 = 6 x 6

16 = 4 x 4

25 = 5 x 5

All others are not square

6 0
2 years ago
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