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max2010maxim [7]

3 years ago

12

Point A is located at (1, 5), and point M is located at (−1, 6). If point M is the midpoint of segment AB, find the location of

point B.

1 answer:

sashaice [31]3 years ago

7 0

Ans: B=(-3, 7)

Step by step explanation:

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A gym employee is paid monthly. After working for three months, he had earned $4,500. To

Leto [7]

Answer:

$9000

Step-by-step explanation:

A gym employee has earned in 3 months =$4500

Then his monthly salary =$4500/3 =$1500

After six months he will earn = 6 × his monthly salary

= 6×$1500=$9000

5 0

3 years ago

An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15

NeTakaya

Answer:

D. 22,417 feet

Step-by-step explanation:

Fine the diagram in the attachment for proper elucidation. Using the SOH, CAH, TOA trigonometry identity to solve for the distance (x) from the plane (P) to the observer (O), the longest side x is the hypotenuse and the side facing the angle of elevation is the opposite.

Hypotenuse = x and Opposite = 15,000feet

According to SOH;

$sin 42^0 = \frac{Opposite}{Hypotenuse} \\\\Sin42^0 = \frac{15000}{x}\\ \\x = \frac{15000}{sin42^0}\\\\ \\$

$x = \frac{15000}{ 0.6691} \\\\x = 22,417 feet$

Hence the distance (x) from the plane P to the observer O is approximately 22,417 feet

3 0

3 years ago

What number would you add to the equation below to complete the square?x2 + 4x = 0?

julia-pushkina [17]

------------------------------------------------------------------
Equation
------------------------------------------------------------------
x² + 4x = 0

------------------------------------------------------------------
Add a constant
------------------------------------------------------------------
x² + 4x + (4/2)² - (4/2)² = 0 ← Add 2² to form perfect square

------------------------------------------------------------------
Evaluate bracket
------------------------------------------------------------------
x² + 4x + 2² - 2² = 0

------------------------------------------------------------------
Form the perfect square
------------------------------------------------------------------
(x + 2)² = 4

------------------------------------------------------------------
Square root both sides
------------------------------------------------------------------
(x+2) = $\pm$ √4

------------------------------------------------------------------
Evaluate the square root
------------------------------------------------------------------
(x+2) = $\pm$ 2

------------------------------------------------------------------
Solve x
------------------------------------------------------------------
x = 2 - 2 or x = -2 - 2

x = 0 or -4

------------------------------------------------------------------
Answer: The constant to add is 4 and the value of x = 0 or -4
------------------------------------------------------------------

7 0

3 years ago

A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of $28. Opt

Karolina [17]

Option b!!!!!!!!!!!!!

6 0

2 years ago

What are the zeros of the function? what are their multiplicities?<br> f(x)=x^4-4x^3+3x^2

-Dominant- [34]

Since each term contains x, x= 0 is one answer Also as x^2 is a factor it has duplicity 2.
Factoring:-

x^2 (x^2 - 4x + 3) = 0
x^2( x - 3)(x - 1) = 0

so x = 3 and x = 1 are also zeros

Answer:- x = 0 (duplicity 2), x = 1 and x = 3.

4 0

3 years ago