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2 years ago

Find the gradient of the line segment between the points (8,6) and (10,14).

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

3 0

Answer:

Step-by-step explanation:

Gradient= $\frac{y1 - y2}{x1 - x2}$

Gradient of line segment

$= \frac{14 - 6}{10 - 8} \\ = \frac{8}{2} \\ =4$

You might be interested in

the number of even integers between 1 and 103 is the same is the same as the number of odd integers between 4 and x. what is the

Ksju [112]

# of numbers between 1 & 103: 102
Half of that would be even numbers. So, 51 even numbers.
Between 4 and x, there are 102 numbers. 4+102=106. 4+106=x. 106=x

7 0

3 years ago

From a height of 50 meters above sea level on a cliff, two ships are sighted due west. The angles of depression are 61° and 28°.

Olenka [21]

Answer:

The ships are 66 meters apart.

Step-by-step explanation:

For the sake of convenience, let us label ships A and B

As shown in the figure, the distances to the ships from right triangles.

The distance to the ship A is $d_1$ and it is given by

$tan (61^o)= \dfrac{50}{d_1}$

$d_1=\dfrac{50}{tan (61^o)}$

$\boxed{d_1= 27.71m}$

And the distance to the ship B is $d_2$ and is given by

$tan (28^o)= \dfrac{50}{d_2}$

$d_2=\dfrac{50}{tan (28^o)}$

$\boxed{ d_2=94.04m}$

Therefore, the distance $d$ between the ships A and B is

$d= d_2-d_1=94.04-27.7\\\\\boxed{d=66m}$

In other words, the ships are 66 meters apart.

8 0

3 years ago

Read 2 more answers

A jacket usually sells for $69.00. If the jacket is 30% off, and sales tax is 8%, what is the total price of the jacket, includi

Ivan

$52.16
30% of 69 is 20.7.
69-20.7= $43.30
8% of 43.3 is 3.864.
43.3+3.864= $52.164
round down due to the 4.
$52.16

7 0

3 years ago

(2x - 1)<br> (4x + 28)°

Sati [7]

Answer: 8x^2° + 52x° + 27°

Using the knowledge i know i think this is the right answer

Have a great day :)

4 0

3 years ago

The heat developed in an electric wire varies jointly as the wires resistance, the time the current flows, & the square of t

never [62]

Answer:

4 ohms

Step-by-step explanation:

The question is "In two minutes a current of 5 amps develops 1,200 heat units in a wire of 8 ohms resistance. What resistance does a similar wire have, which develops 6,000 heat units with a current of 10 amps in 5 minutes?"

Current, I₁ = 5 A

Heat, Q₁ = 1200 units

Resistance, R₁ = 8 ohms

Time, t₁ = 2 min = 120 s

New heat, Q₂ = 6000 units

Current, I₂ = 10 A

New time, t₂ = 5 min = 300 s

We need to find the new resistance.

Heat developed is given by :

$Q=I^2Rt$

$\dfrac{Q_1}{I_1^2R_1t_1}=\dfrac{Q_2}{I_2^2R_2t_2}\\\\R_2=\dfrac{Q_2\times I_1^2R_1t_1}{Q_1I_2^2t_2}\\\\R_2=\dfrac{6000\times 5^2\times 8\times 120}{1200\times 10^2\times 300}\\\\=4\ \Omega$

So, the new resistance is 4 ohms.

5 0

2 years ago