MATHEMATICS HIGH SCHOOL

What is the definition of complimentary angles?Two angles that add to be 180°
Two angles that have a difference of 90°
Two angles add to be 90°
Two angles that have a difference of 180°

Answers

Answer 1
Answer: Simple, the answer to this is...

two angles that add up to be the sum of 90°

Now, a quick tip.

To know the difference between supplementary (180°) and complementary (90°) angles...

the s in supplementary can be viewed as an 8, while in complementary the c can be viewed as a 9....

Thus, your answer....C.

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What are the values of x in the equation x(x-6)=4(x+6)

Answers

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

Multiply out:

x² - 6x = 4x + 24

x² - 6x - 4x - 24 = 0

 x² - 10x - 24 = 0

This is a quadratic equation

x² - 10x - 24 = 0      Divide through by 2

Multiply first and last coefficients:  1*-24 = -24

We look for two numbers that multiply to give -24, and add to give -10

Those two numbers are -12 and 2.

Check:   -12*2 = -24         2 + -12 = -10

We replace the middle term of -10x in the quadratic expression with 2x -12x


 x² - 10x - 24 = 0     

x² + 2x - 12x - 24 = 0     

x(x + 2) - 12(x + 2) = 0

(x + 2)(x - 12) = 0

x + 2 = 0    or   x - 12 = 0

x = 0 -2              x = 0 + 12

x = -2                    x = 12

The solutions are x = -2  or  12
x la patrat - 6x = 4x+24<=>x la a doua -10x-24=0
D= 100-4×1(-24)
D=100+96
D=196
X1,2= 10 plus minus 14 : 2 <=>X1=10-14:2=-2 and X2= 10+14:2= 2

What numbers are divisble by 23 but are between 2 and 10?

Answers

That is impossible.

For a number to be divisible by 23, it has to be greater than 23.

A number cannot be greater than 23, if you have restricted it to be within the numbers 2 and 10.

Wendy is paid $12 per hour and plans to work between 30 and 35 hours per week. Identify the independent and dependent quantity in the situation. Find reasonable domain and range values.

Answers

Answer:

Part a) The independent quantity is the variable x (the number of hours) and the dependent quantity is the variable y (total paid)

Part b) Domain 30\leq x\leq 35

Part c) Range \$360\leq y\leq \$420

Step-by-step explanation:

Let

x------> the number of hours

y-----> total paid

The linear equation that represent this situation is

y=12x

so

Part a)

The independent quantity is the variable x (the number of hours)

The dependent quantity is the variable y (total paid)

Part b) Find the domain

The domain is the interval--------> [30,35]

All real numbers greater than or equal to 30 hours and less than or equal to 35 hours

30\leq x\leq 35

Part c) Find the range

For x=30

find the value of y

y=12(30)=\$360

For x=35

find the value of y

y=12(35)=\$420

The range is the interval-------> [\$360,\$420]

All real numbers greater than or equal to \$360 and less than or equal to \$420

\$360\leq y\leq \$420
The independent quantity is her pay and the dependent quantity is the hours she works in a week.
I believe the range would be 30 to 35 hours and the domain would be $360 to $450.

Determine whether the equation defines y as a function of x+y2=1

Answers

a)

x+y2=14

⟹y2=14−x

⟹y=±14−x−−−−−√

Let’s say we plug in x=5

, we will get y=±3

The definition of a function says that one input must give us at most one output. This tells us that from this equation we cannot have y

as a function of x

.

b)

x3−y3=27

⟹y3=x3−27

⟹y=x3–27−−−−−√3

The cube root function gives us one output per input. As a consequence of the previous statement and using the definition of function we can say that from this equation we can write y

as a function of x

.

The formula for height, in feet of a projectile under the influence of gravity is given by h=-16t^2+vt+s, where t is the time in seconds, v is the upward velocity at the start, and s is the starting height. Marvin throws a baseball straight up into the air at 70 feet per second. The ball leaves his hand at a height of 5 feet. When does the ball reach a height of 75 feet?

Answers

Answer:

1.55s

Step-by-step explanation:

The height equation of the projectile is given as;

h = -16t^2 + vt + s .......1

where;

t is the time in seconds,

v is the upward velocity at the start,

s is the starting height.

Given;

v = 70 ft/s

s = 5 ft

Substituting the values equation 1 becomes;

h = -16t^2 + 70t + 5

For the ball to reach 75 ft, h = 0

75 = -16t^2 + 70t + 5

-16t^2 + 70t + 5 - 75 = 0

-16t^2 + 70t - 70 = 0

solving the quadratic equation;

Time t = 2.83 s and t = 1.55s

Therefore, the ball will first reach 75 ft after 1.55 seconds.

You buy 2 T-shirt's in sale . You pay the full price of 12 for the first T-shirt you get the second one for half price

Answers

Answer:


Step-by-step explanation:

The answer is six.
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