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castortr0y [4]
3 years ago
8

which graph represents a line with a slope of -2/3 and a yintercept equal to that of the line y=2/3x-2

Mathematics
1 answer:
swat323 years ago
5 0

Answer:

y=-2/3x-2

Slope: -2/3

Y intercept: -2

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One day , the tempeture ranged from a high of 20 degrease to a low of -25F. By how many degrees did the tempeture change?
Llana [10]
The temperature changed 45 degrees
7 0
3 years ago
A boiler room has the shape of a rectangular prism. The area of the floor of the room is 112 square feet. The length of the room
Naddik [55]

Answer:

Length = 16 feet.

Width = 7 feet

Height = 8 feet

Volume = 896 cubic feet.

Step-by-step explanation:

There is a rectangular prism boiler room. 112 square feet is the floor area of the room.

Let the length of the room is L feet and width is W feet.

So, LW = 112 ...... (1)

Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get  

(2 + 2W)W = 112

⇒ 2w + 2w² = 112

⇒ W² + W - 56 = 0

⇒ (W +8)(W - 7) = 0

⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}

Hence, from equation (2) we get L = 2W + 2 = 16 feet.

Now, 1 foot more than the width is the height H.

Hence, H = 7 + 1 = 8 feet.

Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)

5 0
3 years ago
Find the thirteenth term of an arithmetic sequence if the first term is 3 and the common difference is 3
lesya692 [45]

Answer:

39

Step-by-step explanation:

Formula for the nth term (an) = a1 + d(n - 1)  where a1 = the first term and d = common difference.

So here the 13th term = 3 + 3(13 - 1)

= 3 + 3*12

= 39  (answer).

8 0
3 years ago
Gym membership costs $100 per year in a $2 fee per visit another gem charges $12 fee per visit with no yearly membership find th
Nimfa-mama [501]

Answer:

<em>For 10 visits, both gyms charge the same</em>

Step-by-step explanation:

<u>Equations</u>

Gym memberships' costs are:

G1 = 100 + 2x

G2 = 12x

Where x is the number of visits to the gym.

We need to find the number of visits for which the charges for both gyms are the same. Thus equating the costs:

12x = 100 + 2x

Subtracting 2x:

10x = 100

Dividing by 10:

x =10

For 10 visits, both gyms charge the same

3 0
3 years ago
write an equarion of point slope form of the line that lasses through the point (2, -8) and has a slope of 4​
RSB [31]

Answer:

y = 4x -16

Step-by-step explanation:

y+8= 4(x-2)

y+8=4x-8

y= 4x - 16

3 0
3 years ago
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