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butalik [34]
3 years ago
5

NEED HELP WILL GIVE 5 STAR, THANKS, AND BRAINLIEST FOR BEST ANSWER PLEASE HELP ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Enter your answer and show all the steps that you use to solve this problem.

A candle is 17 in. tall after burning for 3 hours. After 5 hours, it is 15 in. tall. Write a linear equation to model the relationship between height h of the candle and time t. Predict how tall the candle will be after burning 8 hours.
Mathematics
1 answer:
yulyashka [42]3 years ago
4 0

Answer:

h = -t+20

After 8 hours the candle will be 12 inches

Step-by-step explanation:

We have 2 points (time, inches)

 (3,17)  and (5,15)

We can find the slope

m = (y2-y1)/(x2-x1)

   = (15-17)/(5-3)

   = -2/2

   = -1

We can use point slope form

y-y1 = m(x-x1)

Replace y with h and x with t

h-17 = -1 (t-3)

Distribute

h-17 = -t+3

Add 17 to each side

h-17+17 = -t+3+17

h = -t+20

After 8 hours

h = -t+20

h = -8+20

h= 12

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PLEASE HELP!! 25 POINTS!! WILL MARK BRAINLIEST!!
Strike441 [17]

Answer:The equation of the parabola is y=18(x−2)2−3

4 0
2 years ago
Sine is opposite divided by hypotenuse. So the sine of an angle times the hypotenuse is the length of the opposite side. What is
valkas [14]

Answer:

10 m

Step-by-step explanation:

opposite = sin30° × 20 = \frac{1}{2} × 20 = 10 m

7 0
2 years ago
Your friend is trying to grow her hair as long as her cousin's hair. The table (attached) shows their hair lengths (in inches) i
astra-53 [7]

Answer:

a)  y = 1/2x + 5/2

    y = 2/5x + 29/5

b)  hair will be 19 inches for both at 33 months

Step-by-step explanation:

a) rate of growth of friend's hair:  (3, 4) (8, 6.5)  

(6.5 - 4) ÷ (8 - 3) = 2.5/5 or 1/2

find the y-intercept of equation for growth of friend's hair:

y = mx + b

4 = 1/2(3) + b

4 = 3/2 + b

8/2 - 3/2 = b

5/2 = b

equation for growth of friend's hair:

y = 1/2x + 5/2

rate of growth of cousin's hair:  (3, 7) (8, 9)  

(9 - 7) ÷ (8 - 3) = 2/5

find the y-intercept of equation for growth of cousin's hair:

y = mx + b

9 = 2/5(8) + b

9 = 16/5 + b

45/5 - 16/5 = b

29/5 = b

equation for growth of cousin's hair:

y = 2/5x + 29/5

b) y = 1/2x + 5/2

   y = 2/5x + 29/5

1/2x + 5/2 = 2/5x + 29/5

5/10x + 25/10 = 4/10x + 58/10

1/10x = 33/10

10x = 3300

x = 33

8 0
2 years ago
What is the least 4 digit number that can be divided by 20 and have a remainder of 5?
Vikentia [17]
One way is brute force or experiment

20*10=200
20*100=2000
20*50=1000, that is the first 4 digit  number
now add 5
1005

the answer is 1005
5 0
3 years ago
The system of linear equations -2y+ y = 8 and -3x -y=7 is graphed below. What is the solution to the system of equations?
victus00 [196]

Answer:

x= 1/3

y = -8

Step-by-step explanation:

-2y+ y = 8 equation 1

-3x -y =7 equation 2

using equation 1 we have:

-2y+ y = 8

-y = 8

y = -8 equation 3

using equation 3 in equation 2 we have:

-3x -y=7  

-3x -(-8)=7  

-3x +8 =7

-3x = 7-8

-3x = -1

x= 1/3

5 0
3 years ago
Read 2 more answers
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