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vredina
4 days ago
12

Consider the graph of Bx + Cy = A where A, B, and C are all positive constants. Find the coordinates of the x-intercept. Use upp

er case letters.
Mathematics
2 answers:
babunello [3.6K]4 days ago
6 0

Answer:

The x-intercept coordinates are:

                     (\dfrac{A}{B},0)

Step-by-step explanation:

The x-intercept includes points where the graph intersects the x-axis; specifically, where the value of y is zero.

The line equation is:

                 Bx+Cy=A

When y = 0, we have:

Bx=A\\\\i.e.\\\\x=\dfrac{A}{B}

Therefore, the coordinates for the x-intercept are:

               (\dfrac{A}{B},0)

babunello [3.6K]4 days ago
3 0
The x-intercept is found at the point where the line crosses the x-axis, or where y equals zero.
To find this, set y to 0:
Bx = A
Now solve for x:
Divide both sides by B:
x = A/B
Thus, the x-intercept is given by x = A/B.
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The number of pages in the U.S. tax code exceeds the number of pages in the King James Bible by 18,528. The combined number of p
Leona [4205]
Let x represent the number of pages in the U.S. Tax Code and y denote the pages in the King James Bible.

According to the provided information,
x= y+18,528 ⇒ y=x-18,528
x+y = 21,472 ⇒ x+(x-18,528) = 21,472 ⇒ x+x-18,528 = 21,472 ⇒ 2x= 18,528+21,472 ⇒ 2x = 40,000 ⇒ x=40,000/2 = 20,000 pages

Therefore, the U.S. tax code consists of 20,000 pages.
6 0
5 days ago
Read 2 more answers
Finally, you meet a group of six natives, U, V, W, X, Y, and Z, who speak to you as follows. U says: None of us is a knight. V s
tester [3968]

Answer:

w and y are the knights

Step-by-step explanation:

6 0
12 hours ago
Which graph has the same end behavior as the graph of f(x) = –3x3 – x2 + 1?
Zina [3936]
Without specific options available, I can provide guidance on where to focus your attention.

The end behavior of a function refers to how the graph behaves (upwards or downwards) as it nears positive or negative infinity within its domain. Essentially, we’re investigating the direction the graph tends towards on both sides.

In this scenario, as the value of x grows, the graph descends, while it ascends when x diminishes. Seek out a comparable occurrence.
4 0
10 days ago
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If mJI = (3x+2)°, mHLK = (15x-36)°, and m∠HML = (8x-1)°, find mHLK
lawyer [4047]

Response:

The measure of mHLK is "(204)°".

Step-by-step breakdown:

Given values include:

mJI = (3x+2)°

mHLK = (15x-36)°

and,

m∠HML = (8x-1)°

then,

What is mHLK?

Now,

Utilizing the chord-chord angle formula, we find

mHMK=\frac{1}{2}(mJL+mHLK)

Inserting the known values into the equation gives us

⇒  (8x-1)=\frac{1}{2}(15x-36+3x+2)

By carrying out cross-multiplication, we arrive at

⇒  2(8x-1)=18x-34

⇒  16x-2=18x-34

By subtracting "18x" from both sides, we obtain

⇒  16x-2-18x=18x-34-18x

⇒  -2x-2=-34

Upon adding "2" to both sides, we end up with

⇒  -2x=-34+2

⇒  -2x=-32

⇒  x=\frac{32}{2}

⇒  x=16

By substituting the value of "x" into mHLK = (15x-36)°, we calculate

⇒ (15x-36)° = (15×16-36)°

⇒                = (240-36)°

⇒                = (204)°

Thus, mHLK = (204)°

4 0
1 day ago
The perimeter of the norwegian flag is 190 inches. What are the dimensions of the flag?
zzz [4035]
<span>The flag's dimensions are 40 inches by 55 inches.

Reasoning<span>:
The perimeter equals the sum of all sides. Being rectangular, opposite sides have equal lengths. Thus, the equation is
y + 11/8 y + y + 11/8 y = 190.

Simplifying, we get
2y + 22/8 y = 190.

Expressing 22/8 as a mixed fraction results in
2y + 2 3/4 y = 190.

Combining terms: 4 3/4 y = 190.

Divide both sides by 4 3/4:
y = 190 ÷ 4 3/4.

Converting 4 3/4 to an improper fraction: y = 190 ÷ 19/4.

Dividing by a fraction means multiplying by its reciprocal:
y = 190 × 4/19 = 760/19 = 40.

Since y = 40, calculate 11/8 y = 11/8 × 40 = 440/8 = 55.</span></span>
8 0
14 days ago
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