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Scrat [10]
3 years ago
12

What is the distance between -4 and 5

Mathematics
2 answers:
Allushta [10]3 years ago
8 0

Answer:

<h2>9</h2>

Step-by-step explanation:

The formula of a distance between x and y:

d = |y - x|

We have x = -4 and y = 5.

Substitute:

d = |5 - (-4)| = |5 + 4| = |9| = 9

kogti [31]3 years ago
5 0

Answer:

9

Step-by-step explanation:

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5. Two vertices of a rectangle are (8,-5) and (8,7). If the area of the rectangle is 72 square units, name the possible location
Phantasy [73]

Answer:

<h3>#5</h3>

<u>Given vertices:</u>

  • (8, -5) and (8, 7)

These have same x-coordinate, so when connected form a vertical segment.

<u>The length of the segment is:</u>

  • 7 - (-5) = 12 units

The area of the rectangle is 72 square units, so the horizontal segment has the length of:

  • 72/12 = 6 units

<u>Possible location of the remaining vertices (to the left from the given):</u>

  • (8 - 6, -5) = (2, -5)

and

  • (8 - 6, 7) = (2, 7)
<h3>#6</h3>

<u>Similarly to previous exercise:</u>

  • (5, -8) and (5, 4) given with the area of 48 square units

<u>The distance between the given vertices:</u>

  • 4 - (-8) = 12 units

<u>The other side length is:</u>

  • 48/12 = 4 units

<u>Possible location of the other vertices (to the right from the given):</u>

  • (5 + 4, -8) = (9, -8)

and

  • (5 + 4, 4) = (9, 4)
4 0
3 years ago
F(x) = X/x-1 and g(x) = 1+1/x find (g. f) (x) and (f. G) (x)​
oee [108]

Answer:

Given f(x)=(1−x)21 and g(x)=ln(x)

gof(x)

=g(f(x))

=ln(1−x)1/2

=21ln(1−x)

∴ For the composite function to be defined 1−x>0

x<1

∴ Domain is (−∞,1)

7 0
3 years ago
Using the equation of the line (y = 0.5x + 79), what would be the melting point of dna with 50% gc content? enter your answer as
steposvetlana [31]
We have the equation of the line as follows:
y = 0.5x + 79

We want to calculate the melting point (the y value) of DNA  with 50% gc content (the x value).
The gc content represents the value of x in the equation, so to calculate the melting point (y), we will simply substitute the x with 50 in the equation of the line as follows:
melting point = 0.5(50) + 79 = 25 + 79 = 104 degrees
4 0
3 years ago
Read 2 more answers
∠A and \angle B∠B are complementary angles. If m\angle A=(6x+29)^{\circ}∠A=(6x+29)
umka2103 [35]

Answer:

Step-by-step explanation:

Complementary angles add up to 90

6x + 29 + x + 5 = 90

6x + x + 29 + 5 = 90

           7x + 34  = 90

                   7x  = 90 - 34  {Subtract 34 from both  sides}

                   7x  = 56

                    x = 56/6   {Divide both sides by 6}

                    x = 8

∠A = 6x + 29

     = 6*8 + 29

      = 48 + 29

∠A = 77°

3 0
2 years ago
Can someone help me I need it.
Vedmedyk [2.9K]

Answer:

C is the answer 3rd one...

6 0
3 years ago
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