Compute the total pay.

If x:6 as 3:9 then x is equal to<br> pleas help!!

natima [27]

Answer:

2

Step-by-step explanation:

x/6 = 3/9

cross multiply

9x = 18

divide 9 on both sides

x= 2

7 0

3 years ago

Determine whether AB←→ and CD←→− are parallel, perpendicular, or neither. A(−1, −4), B(2, 11), C(1, 1), D(4, 10)

Paladinen [302]

Slope of AB
m = (y2 - y1)/(x2 - x1)
m = (11 - (-4))/(2 - (-1))
m = (11 + 4)/(2 + 1)
m = 15/3
m = 5
The slope of line AB is 5

Slope of CD
m = (y2 - y1)/(x2 - x1)
m = (10 - 1)/(4 - 1)
m = 9/3
m = 3
The slope of CD is 3

Since the two slopes are not equal, this means the lines are not parallel.
Since (slope of AB)*(slope of CD) = 5*3 = 15 is not equal to -1, this means the lines are not perpendicular

Answer: Neither (not parallel; not perpendicular)

4 0

4 years ago

NEED ANSWER ASAP! 50 PTS!

azamat

Answer:

f(x) = 7 sin 8x + 3 ⇒ 1st answer

Step-by-step explanation:

* Lets revise the trigonometry translation

- If the equation is y = A sin (B x + C) + D

* A is the amplitude

- The amplitude is the height from highest to lowest points and

divide the answer by 2

* The period is 2π/B

- The period is the distance from one peak to the next peak

* C is the horizontal shift

- The horizontal shift is how far the function is shifted to left

(C is positive) or to right (C is negative) from the original position.

* D is the vertical shift

- The vertical shift is how far the function is shifted vertically up

(D is positive) or down (D is negative) from the original position.

- The equation of the mid-line is y = D

* Now lets solve the problem

∵ f(x) = A sin(Bx + C) + D

∵ The amplitude is 7

∴ A = 7

∵ The period is 2π/B

∵ The period is π/4

∴ 2π/B = π/4 ⇒ divide both sides by π

∴ 2/B = 1/4 ⇒ Use cross multiplication

∴ B × 1 = 2 × 4

∴ B = 8

∵ The equation of the mid-line is y = D

∵ The equation of the mid-line is y = 3

∴ D = 3

- There is no mention for C

∴ C = 0

∴ f(x) = 7 sin 8x + 3

7 0

4 years ago

A population of 280 flying squirrels in a town in Honduras is growing at a rate of 9% every 6 months. How many squirrels will th

VMariaS [17]

The 470 squirrels will be in 3 years, if a population of 280 flying squirrels in a town in Honduras is growing at a rate of 9% every 6 months.

Step-by-step explanation:

The given is,

280 flying squirrels

Growing at a rate of 9% every 6 months

Step:1

Formula to calculate the squirrels,

$y = A (1+r)^{t}$ ...........................(1)

where, A = Initial count

r = Growing rate

t = Time

From the given,

A = 280 squirrels

r = 9 % = 0.09

t = 6 ( Growing rate is given for 6 months, for 3 years 36 months available, so t = $\frac{36}{6}$ = 6)

From equation (1),

$y =280(1+0.09)^{6}$

$= 280 (1.09)^{6}$

= (280)(1.6771)

= 469.588

Squirrels after 3 years, y ≅ 470 squirrels

( or )

Step:1

Year will be converted to months,

3 years = 36 months

For 6 months,