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2 years ago

Find the midpoint of the segment with the following endpoints. (10, 7) (2, 1)

Mathematics

1 answer:

Alex_Xolod [135]2 years ago

7 0

Answer:

(6,4)

Step-by-step explanation:

Midpoint=((x1+x2)/2 ,(y1+y2)/2)

((10+2)/2 ,(7+1)/2)

(6,4)

x1=10

x2=2

y1=2

y2=1

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How to find the surface area of a hexagon?

shutvik [7]

Answer:

adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object.

Step-by-step explanation:

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2 years ago

Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

expeople1 [14]

Answer:

$cot x = \frac{cos x}{sin x}$

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

$cos x cot x + sin x$

We know from math properties that the definition for cot is $cot x = \frac{cos x}{sin x}$

If we use this definition we got:

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

Now we can use the following identity:

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

4 0

3 years ago

Simplify each equation, then solve. 1) log 2 128=x

NikAS [45]

$\log _{ 2 }{ 128 } =x\\ \\ \log _{ 2 }{ \left( { 2 }^{ 7 } \right) } =x\\ \\ 7\cdot \log _{ 2 }{ 2 } =x$

$\\ \\ 7\cdot 1=x\\ \\ \therefore \quad x=7$

4 0

3 years ago

Read 2 more answers

If one real number is equal to a second real number, and the second real number is equal to a third real number, then the first

svet-max [94.6K]

Answer: In particular, let’s focus our attention on the behavior of each graph at and around . 2 and x= -1 for x < 2. There are open circles at both endpoints (2, 1) and (-2, 1). The third is h (x) = 1 / (x-2)^2, in which the function curves asymptotically towards y=0 and x=2 in quadrants one and two."

Step-by-step explanation: I think this is the problem ur on

8 0

2 years ago

What is -2 1/4 + 5 1/2 ?

Fofino [41]

To first find the answer to this, let's find a common denominator between each fraction. The denominator is the bottom number of a fraction.
To find the common denominator, let's factor out each of our denominators 5 times to see if they have a common number.
4: 4, 8, 12, 16, 20
2: 2, 4, 6, 8, 10
They both appear to have the smallest common denominator of 4, so let's use 4.

We already have 1/4 with a denominator of 4, but not 1/2.
2 x 2 = 4, so multiply the numerator and the denominator of 1/2 by 2.
1 x 2 = 2
2 x 2 = 4
Your new fraction is 2/4.

Our expression now is:
-2 1/4 + 5 2/4
or (in simpler terms)
5 2/4 - 2 1/4

Subtract the fractions first.
2/4 - 1/4 = 1/4

Now subtract the whole numbers.
5 - 2 = 3

You are left with:
3 1/4

I hope this helps!

8 0

2 years ago