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ipn [44]
3 years ago
5

What is the solution to this equation? –0.2(x – 20) = 44 – x

Mathematics
2 answers:
ZanzabumX [31]3 years ago
8 0
X=50
First we distribute the -0.2 on the left
-0.2x+4=44-x
Add x and subtract 4 both sides
0.8x=40
Divide 0.8 both sides
x=50
Airida [17]3 years ago
3 0

Answer: x = 50

Step-by-step explanation:

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If f(x) = x2, which of the following describes the graph of f(x - 1)? A. The graph of f(x - 1) is a horizontal shift of f(x) = x
pantera1 [17]

Answer:

A

Step-by-step explanation:

To understand this, we can look at the vertical & horizontal translations of a parabola of the form  f(x)=x^2

  • A vertically translated parabola has the form  f(x)=x^2+k, where k is the vertical shift upward when k is positive and vertical shift downward when k is negative.
  • A horizontally translated parabola has the form  f(x)=(x-a)^2, where a is the horizontal shift rightward when a is positive and horizontal shift leftward when a is negative.

When we replace x of the original function with (x-1), we have  f(x)=(x-1)^2. According to the rules, this means that the original function is shifted 1 unit right (horizontal shift).

Correct answer is A.

4 0
3 years ago
Read 2 more answers
Trigonometry <br> Find x<br> 8.3 <br> 34 degrees
Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

In Triangle

A

B

C

with the right angle at

C

, let

a

,

b

, and

c

be the opposite, the adjacent, and the hypotenuse of

∠

A

. Then, we have

sin

A

=

a

c

⇒

m

∠

A

=

sin

−

1

(

a

c

)

sin

B

=

b

c

⇒

m

∠

B

=

sin

−

1

(

b

c

)

I hope that this was helpful.

Wataru ·  1 · Oct 29 2014

How do you find all the missing angles, if you know one of the acute angles of a right triangle?

The sum of the measures of all the angles in a triangle is always equal to

180

o

.

In a right triangle, however, one of the angles is already known: the right angle, or the

90

o

angle.

Let the other two angles be

x

and

y

(which will be acute).

Applying these conditions, we can say that,

x

+

y

+

90

o

=

180

o

x

+

y

=

180

o

−

90

o

x

+

y

=

90

o

That is, the sum of the two acute angles in a right triangle is equal to

90

o

.

If we know one of these angles, we can easily substitute that value and find the missing one.

For example, if one of the angles in a right triangle is

25

o

, the other acute angle is given by:

25

o

+

y

=

90

o

y

=

90

o

−

25

o

y

=

65

o

Tanish J. ·  1 · Nov 26 2014

How do you know what trigonometric function to use to solve right triangles?

Right triangles are a special case of triangles. You always know at least one angle, the right angle, and depending on what else you know, you can solve the rest of the triangle with fairly simple formulas.

http://etc.usf.edu/clipart/36500/36521/tri11_36521.htm

If you know any one side and one angle, or any two sides, you can use the pneumonic soh-cah-toa to remember which trig function to use to solve for others.

s

−

i

n

(

θ

)

=

 

o

−

pposite

/

 

h

−

ypotenuse

c

−

o

s

(

θ

)

=

a

−

djacent

/

h

−

ypotenuse

t

−

a

n

(

θ

)

=

o

−

pposite

/

a

−

djacent

Opposite refers to the side which is not part of the angle, adjacent refers to the side that is part of the angle, and the hypotenuse is the side opposite the right angle, which is

C

in the image above.

For example,lets say you know the length of

a

and the value of angle

A

in the above triangle. Using the cosine function you can solve for

c

, the hypotenuse.

cos

(

A

)

=

a

c

Which rearranges to;

c

=

a

cos

(

A

)

If you know the length of both sides

a

and

b

, you can solve for the tangent of either angle

A

or

B

.

tan

(

A

)

=

a

b

Then you take the inverse tangent,

tan

−

1

to find the value of

A

.

Zack M. ·  4 · Dec 7 2014

What are inverse trigonometric functions and when do you use it?

Inverse trigonometric functions are useful in finding angles.

Example

If

cos

θ

=

1

√

2

, then find the angle

θ

.

By taking the inverse cosine of both sides of the equation,

⇒

cos

−

1

(

cos

θ

)

=

cos

−

1

(

1

√

2

)

since cosine and its inverse cancel out each other,

⇒

θ

=

cos

−

1

(

1

√

2

)

=

π

4

I hope that this was helpful.

Wataru ·  1 · Nov 2 2014

What is Solving Right Triangles?

Solving a right triangle means finding missing measures of sides and angles from given measures of sides and angles.

I hope that this was helpful.

Wataru ·  3 · Nov 6 2014

5 0
3 years ago
Kari picked 23 bunches of flowers from her garden. Each bunch had the same number of flowers. After she gave 46 flowers away, sh
Aleks [24]

Answer:

8 flowers in each bunch

Step-by-step explanation:

From this information, we can make the equation:

23b-46=138

Where b is the number of flower in each bunch.

23b-46=138

<em>Add 46 to both sides</em>

23b=184

<em>Divide both sides by 23</em>

b=8

There are 8 flowers in each bunch.

6 0
3 years ago
Read 2 more answers
A store offers a 15% discount on all items in the store during a sale. All store employees get an additional 10% employee discou
IRINA_888 [86]
0.8109x is the answer...
3 0
3 years ago
5/7y = 6, giving brainliest
garri49 [273]
7/5 * 5/7y  = 7/5 * 6 

y = 42/5. 

The multiplication property of equality is used. 
6 0
3 years ago
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