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Tasya [4]
3 years ago
11

The terminal point of Dis ( 1/2,3/2). What is cos 0?

Mathematics
1 answer:
nydimaria [60]3 years ago
5 0

Answer:

<em>(c). </em>\frac{1}{2}<em> </em>

Step-by-step explanation:

The <u><em>cosine</em></u> is the <em>"x" coordinate</em> of the terminal point on the unit circle.

Thus the answer is <em>(c). </em>\frac{1}{2}

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Please I really need help with this
Delvig [45]

Answer:

Step-by-step explanation:

㏒ 3+㏒(x+2)=1

㏒3(x+2)=1

3(x+2)=10^1

3x+6=10

3x=10-6=4

x=4/3

so A

3.

log_{2}x+log_{2}(x+2)=3\\or~log_{2}[x(x+2)]=3\\x(x+2)=2^3\\x^2+2x-8=0\\x^2+4x-2x-8=0\\x(x+4)-2(x+4)=0\\(x+4)(x-2)=0\\x=2,-4\\x=-4 ~is~an~extraneous~solution.\\B

6 0
3 years ago
Write an equation for the line parallel to the given line that contains C<br> C(2,6); y= -4x + 7
MrRa [10]

Answer:

y=-4x+14

Step-by-step explanation:

step 1

Find the slope of the given line

we have

y=-4x+7

This is the equation of the given line in slope intercept form

The slope is m=-4

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

therefore

The slope of the line parallel to to the given line is m=-4

step 3

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=-4

C\ (2,6)

substitute

y-6=-4(x-2)

step 4

Convert to slope intercept form

y-6=-4(x-2)

isolate the variable y

y-6=-4x+8

y=-4x+8+6

y=-4x+14

6 0
3 years ago
Judy took $42 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag o
olya-2409 [2.1K]

Answer:there are a few questions that needs answering to make your graph. 1. How many bags of popcorn can she buy with $30? 2. How much does a drink cost? 3. How many drinks can she buy with $30?

Step-by-step explanation:

8 0
3 years ago
An airplane flies into the wind for 5 hours, traveling 900 miles. The airplane then
Musya8 [376]

Answer:

22.5 miles per hour

Step-by-step explanation:

<u>Given system of equations</u>

5(s-w)=900

4(s+w)=900

<u />

<u>Set equations equal to each other</u>

5(s-w)=4(s+w)

5s-5w=4s+4w

s-5w=4w

s=9w

<u>Solve for w using the substitution s=9w</u>

4(s+w)=900

4(9w+w)=900

4(10w)=900

40w=900

w=22.5

Therefore, the speed of the wind is 22.5 miles per hour

7 0
2 years ago
Solve the system.
svetoff [14.1K]

Answer:

(0, 1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y + 5x = 1

5y - x = 5

<u>Step 2: Rewrite Systems</u>

y + 5x = 1

  1. Subtract 5x on both sides:                    y = 1 - 5x

<u>Step 3: Redefine Systems</u>

y = 1 - 5x

5y - x = 5

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitution in <em>y</em>:                      5(1 - 5x) - x = 5
  2. Distribute 5:                             5 - 25x - x = 5
  3. Combine like terms:                5 - 26x = 5
  4. Isolate <em>x</em> term:                          -26x = 0
  5. Isolate <em>x</em>:                                   x = 0

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    5y - x = 5
  2. Substitute in <em>x</em>:                       5y - 0 = 5
  3. Subtract:                                 5y = 5
  4. Isolate <em>y</em>:                                 y = 1
8 0
2 years ago
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