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hram777 [196]
3 years ago
8

One winter day the temperature dropped sharply during the afternoon. Tatiana recorded a change of −19.5 degrees Celsius in 3.75

hours.
What was the average change in temperature per hour?

Enter your answer as a decimal in the box.
Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0
That would be about 2.66* per hour
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Which king of function best models the date in the table
attashe74 [19]
We can see that the y-intercept (the value of y when x=0) is -1 by looking at the table.

Now we just need the slope, or "m" of the linear equation.

m=(y2-y1)/(x2-x1)  in this case:

m=(-2--1)/(1-0)

m=-1/1

m=-1

Now that we know m and b of y=mx+b we can say the line is:

y=-x-1

So this is a linear equation, y=-x-1
6 0
4 years ago
If the endpoints of the diameter of a circle are (8, −6) and (4, −2), what is the standard form equation of the circle?
Gennadij [26K]
We do the midpoint formula to find the center of the circle to get the left side of the equation.

Midpoint = [(X₁ + X₂) / 2 , (Y₁ + Y₂) / 2] 

Now plug in:

[(8 + 4) / 2 , (- 6 - 2) / 2]
(12 / 2 , - 8 / 2)
(6, - 4)

The center of the circle is (6, -4)

Now we plug it into the equation of a circle:

(x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius. 

(x - 6)² + (y + 4)² = r² is the left side of the equation. This will eliminate options A and C

Now we do the distance formula using the center and an endpoint to get the radius. The formula for distance is:

√((X₂ - X₁)² + (Y₂ - Y₁)²)

We plug in using either of the endpoints. 

√((4 - 6)² + (- 2 - (- 4))²)
√((-2)² + 2²)
√(4 + 4)
√8

√8 is your radius

(√8)² = 8

Your correct answer is (x - 6)² + (y + 4)² = 8, Option D
3 0
4 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5x%20%2B%2050%7D%7Bx%20%2B%205%7D%20.%20%5Cfrac%7B1%7D%7Bx%20%2B%2010%7D%20" id="
bezimeni [28]
Hi, I'd be glad to help you with this equation. 

Your answer is (5/ x + 3) 

Hope this helps. 
Have a great day!
8 0
4 years ago
PLEASE HELP ME!!!!!!!!
alexandr1967 [171]

Answer:

well...

Step-by-step explanation:

Im to lazy to try and figure it out sorry

3 0
3 years ago
A sum of money is divided among Khairul, Michael and Ethan in the ratio
Leto [7]

Answer:

$360

Step-by-step explanation:

The intial ratio of the sum shared between Khairul, Michael and Ethan is 6 : 4 : 5.

This would be 6x : 4x : 5x

Khairul gives $30 to Michael and $15.

The ratio is. Now;

(6x - 45) : (4x + 30) : (5x + 15)

We are told this is equal to the ratio 7:6:7

Thus;

((6x - 45) + (4x + 30))/(5x + 15) = (7 + 6)/7

(10x - 15)/(5x + 15) = 13/7

Factorize the left hand side;

5(2x - 3)/5(x + 3) = 13/7

5 will cancel out to get;

(2x - 3)/(x + 3) = 13/7

Cross multiply to get;

7(2x - 3) = 13(x + 3)

14x - 21 = 13x + 39

14x - 13x = 39 + 21

x = 60

Amount Khairul had initially was denoted as 6x.

Thus,6x = 5 × 60 = $360

3 0
3 years ago
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