Which equations show you how to find 16-9?

5 km. To determine the distance, we apply the speed formula that correlates distance with time: v = d / t. Thus, when rearranging for distance, we get: d = v * t. The speed is noted as 6 km/h, but we need to find the time taken - given he departs at 9:15 and returns at 10:05, the total time is 50 minutes. Converting this duration into hours gives us 50 min * 1 h / 60 min = 0.833 h. Hence, the duration for the journey to school is established as 0.833 hours. Substituting into our equation provides: d = 6 * 0.8333, yielding a distance of 5 km between the school and home.

Add 3b to both sides, then simplify. Next, divide both sides by 6 and simplify it further, leading to the result of a = 4b/3.

Answer:

Refer to the detailed explanation below

Step-by-step explanation:

* Let’s organize the procedure to bisect angle ABC

- Angle ABC has vertex at point B and rays BA and BC

# Step 1:

- Center the compass at point B and draw an arc that crosses rays BA and BC ⇒ fifth step

# Step 2:

- Mark point D where the arc intersects ray BA and point E where it meets ray BC ⇒ third step

# Step 3:

- With the compass on point D, create an arc inside the angle ⇒ sixth step

# Step 4:

- Using the same compass width, set it on point E and draw an arc inside the angle ⇒ second step

# Step 5:

- Let point F be the intersection of the arcs from points D and E ⇒ fourth step

# Step 6:

- Draw a ray from point B through point F ⇒ first step

* This ray divides angle ABC into two equal parts

Question:

Which statement is accurate concerning the function’s discontinuities

A) There are gaps at x = 7 and.

B) Asymptotes exist at x = 7 and.

C) Asymptotes exist at x = –7 and.

D) Gaps are present at (–7, 0) and.

Answer:

B) Asymptotes exist at x = 7 and

Step-by-step explanation:

Given:

Goal:

Identify the correct statement

We need to factor the denominator first.

To express x in terms of (3x+4) and (x-7):

3x + 4 =

3x = -4

Divide both sides by 3:

x - 7

x = 7

Next, evaluate the limit when and at (x = 7)

lim f(x) as = ±∞

lim f(x) as (x=7) = ±∞

Since both scenarios result in the denominator approaching zero, they represent asymptotes.

Thus, asymptotes are found at and x=7

Option B is determined to be correct

The triangle is positioned within the circle, with its vertices lying on the circle's edge - since the center of the circle is located on the hypotenuse, that hypotenuse serves as the diameter (D) of the circle.

:

D = 120 feet

:

Calculating the circumference of the circle gives: 22/7 * 120 = 377.14 feet.

The perimeter of the triangle is calculated as 120 + 60 + 103.92 = 283.92

:

********************************************************

1) The combined distance around both circle and triangle totals 661.06 feet.

********************************************************

:

**************************************************************

2) The vertices for the triangle's central area must touch the circular pool - to find the center of the pool, draw perpendicular bisectors from two of the triangle's sides; where they meet is the center.

The distance from the center to any vertex of the triangular area represents the radius of the

circular pool.

**************************************************************

:

*****************************************************************

3) The intersection of the triangle's angle bisectors indicates the center of the shark tank.

*****************************************************************

:

***********************************************************

4) The pool's volume is calculated as ((π * 60^2) - area of triangle) * 4 =

(11314.285) - (1/2 * 103.92 * 60) * 4 = 32786.74 cubic feet.

***********************************************************

:

*****************************************

5) 8196.685 * x < 30000

x < 3.66 feet

The average depth needs to be below 3.66 feet

*****************************************