All categories

2 years ago

4 (hx - 1) -3 (x +h) ≡ 5 (x + k) Work out the value of h and k H and k are integer constants

Mathematics

1 answer:

vladimir1956 [14]2 years ago

6 0

Answer:

4hx - 8x - 3h - 4

k = ------------------------

8x + 5k + 4

h = ------------------------

4x - 3

Step-by-step explanation:

4 (hx - 1) - 3 (x + h) = 5 (x + k)

4hx - 4 - 3 (x + h) = 5 (x + k)

4hx - 4 - 3x - 3h = 5 (x + k)

4hx - 4 - 3x - 3h = 5x + 5k add 3h both sides

4hx - 4 - 3x - 3h + 3h = 5x + 5k + 3h simplify

4hx - 4 - 3x = 5x + 5k + 3h add 4 both sides

4hx - 4 - 3x + 4 = 5x + 5k + 3h + 4 simplify

4hx - 3x = 5x + 5k + 3h + 4 subtract 5x from both sides

4hx - 3x - 5x = 5x + 5k + 3h + 4 - 5x simplify

4hx - 8x = 5k + 3h + 4

4hx - 8x - 3h - 4 = 5k

4hx - 8x - 3h - 4

k = ------------------------

solving for h;

4hx - 3h = 8x + 5k + 4

h(4x - 3) = 8x + 5k + 4

8x + 5k + 4

h = ------------------------

4x - 3

You might be interested in

If the sin 90º = 1, then which statement is true?

Natali [406]

in a right-triangle, like in the 1st Quadrant, cosine and sine are complements, so then

sin(x) = cos(90° - x)

cos(x) = sin(90° - x)

for this case, sin(90°) = cos(90° - 90°), or just cos(0°) = 1.

6 0

2 years ago

Which phrase best describes the translation from the graph y = (x – 5)2 + 7 to the graph of y = (x + 1)2 – 2? A. 6 units left an

VikaD [51]

Answer:

A. 6 units left and 9 units down

Step-by-step explanation:

Given:

y = (x – 5)^2 + 7

y = (x +1)^2 - 2

The graph of y = (x – 5)^2 + 7 is a parabola 5 units right and 7 units up

The graph of y = (x +1)^2 - 2 is a parabola 1 unit left and 2 units down

Transformation is the difference in the shift

Transformation = 6 units left and 9 units down.

Therefore, answer A. 6 units left and 9 units down

Hope this will helpful.

Thank you.

4 0

2 years ago

Read 2 more answers

Mrs. Jones buys two toys for her son. The probability that the first toy is defective is 1/3, and the probability that the secon

sergeinik [125]

Answer:

Probability= $\frac{1}{15}$

Step-by-step explanation:

As it is given that

Probability of toy A is defective is =P(A) = $\frac{1}{3}$

Probability of toy b is defective if A is defective = P (B)= $\frac{1}{5}$

WE have to find the P(A n B)

By the law of Probability

P(A n B) = P (A).P(B)

putting the values given to us

P(AnB)= $\frac{1}{3}$ * $\frac{1}{5}$

Probability= $\frac{1}{15}$

3 0

2 years ago

Read 2 more answers

A new factory is growing fast and hiring a lot of new workers. Every week, the total number of workers doubles in size. If it ta

MAXImum [283]

We know that the number of workers doubles every week.

This implies that the number of workers of the previous week is exactly half of the current one's.

So, it took 11 weeks for the factory to be at half capacity.

3 0

2 years ago

A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centime

olga_2 [115]

I think 452cm^3
Voulme of one cylinder times 6

7 0

2 years ago

Read 2 more answers