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Find the distance between points M and N. M= (3,-2) N= (5,-6)

MaRussiya [10]

Answer:

12

Step-by-step explanation:

The formula for distance between points is $\sqrt{(x.2-x.1)^{2} +(y.2-y.1)^{2}$

So when you inserts the coordinates in this formula, it would be $\sqrt{(-2-3)^2+(-6-5)^2}$

$\sqrt{(-5)^2+(-11)^2}$

$\sqrt{25+121}$

$\sqrt{146}$

=12.08305

Usually, distance is round to whole number. So, it would be 12

4 0

2 years ago

Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h repre

oksano4ka [1.4K]

Answer:9.4$ a hour

Step-by-step explanation:

110 - 16 = 94

94 / 10 = 9.4

she makes 9.4$ a hour

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6 0

2 years ago

Read 2 more answers

The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in min

Deffense [45]

Answer:

a

f'(t) is negative

b

The unit is degC/min

c

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

Step-by-step explanation:

From the question we are told we are told that

The equation for the temperature of a cup of coffee place on a counter is

$H= f(t)$

Here t is the time in minutes the coffee was put on the counter

Generally f(t)' is the derivative of f(t) at it represents the change of the temperature of the cup of coffee with respect to time

Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence f(t)' is negative

Generally the unit of the temperature is in degrees Celsius while that of time is in minutes

So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e degC/min)

From the question we are told that

$|f(35)'| = 1.5$

i.e the rate of change of temperature after 35 minutes is 1.5

and

$|f(35)| = 68$

i.e the temperature of the cup of coffee after 35 minutes is 67 degC

Now after another t= 30 seconds = $\frac{30}{60}= 0.5 \ minutes$ the rate of change of the temperature of the cup of coffee is

$R = |f(35)'| * t$

=> $R = 1.5 * 0.5$

=> $R = 0.75$

So

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

5 0

3 years ago

Find the x-intercepts, y-intercepts, and the vertex of the following equation. y=x2 – 2x – 15

sineoko [7]

X intercept : (5,0),(-3,0)
y intercept : (0,-15)
vertex: (1,-16)

i’m glad to help! mark me brainliest if i’m correct plss

6 0

3 years ago

A right cubic prism has edges of 2 1/2 inches. How

3241004551 [841]

Answer:

Option D, the volume is 15.625 cubes

Step-by-step explanation:

For a cube of side length L, the volume is:

V = L^3

for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:

v = (1in)^3 = 1 in^3

Then:

1 in^3 is equivalent to one small cube

Here we know that the side length of our cube is (2 + 1/2) in

Then the volume of this cube will be:

V = [ (2 + 1/2) in]^3

To simplify the calculation, we can write:

2 + 1/2 = 4/2 + 1/2 = 5/2

Then:

V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3

This means that 15.625 small cubes will fill the prism.

So the correct option is D.

8 0

2 years ago