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Mamont248 [21]
3 years ago
10

Write in point-slope form an equation of the line that passes through the point

Mathematics
1 answer:
AnnyKZ [126]3 years ago
7 0

A horizontal line through y=−53. Explanation: Write the equation in the form y=mx+c because then we can read off the slope and the y-intercept ...

Answer:

Step-by-step explanation:

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A floor rug is rectangular in shape. The width of the rug is 2 ft less than its length. The perimeter of the rug is 36 ft.
Ganezh [65]

Answer

Perimeter of rectangle, P = 2L + 2W

P = 36ft

Width, W

Length, L = W + 2ft

Perimeter of rectangle, P = 2L + 2W

Given; P = 36ft

36ft = 2W + 2(W + 2ft)

36ft = 2W + 2W + 4ft

32ft = 4W

8ft = W

L = W + 2ft

L = 8ft + 2ft

L = 10ft

5 0
3 years ago
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Luis is saving up to buy a new phone. He already has $25 and can save an additional $6 per week using money from his after schoo
sdas [7]

Answer:

$85

Step-by-step explanation:

he would have $85 bc if u save 6 per week for 10 weeks that 60 yk so then 60 pu 25 is 85 not that hard tbh

3 0
2 years ago
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Help I have to turn this in. In a couple hours
Gelneren [198K]

28. Surface Area

This is some sort of house-like model so for every face we see there's a congruent one that's hidden.  We'll just double the area we can see.

Area = 2 × ( [14×9 rectangle] + 2[15×9 rectangle]+[triangle base 14, height 6] )

Let's separate the area into the area of the front and the sides; the front will help us for problem 29.

Front =  [14×9 rectangle] + [triangle base 14, height 6]

          = 14×9 + (1/2)(14)(6) = 14(9 + 3) = 14×12 = 168 sq ft

OneSide =  2[15×9 rectangle] = 30×9 = 270 sq ft

Surface Area = 2(168 + 270) = 876 sq ft

Answer: D) 876 sq ft

29.  Volume of an extruded shape is area of the base, here the front, times the height, here 15 feet.  

Volume = 168 * 15 = 2520 cubic ft

Answer: D) 2520 cubic ft

6 0
3 years ago
Sum of all natural numbers from100to300 which are divisible by 4and 5 is​
My name is Ann [436]

If x is a number that is both divisible by 4 and 5, then

\begin{cases}x\equiv0\pmod4\\x\equiv0\pmod5\end{cases}

4 and 5 are coprime, so we can use the Chinese remainder theorem to solve this system and find that x=20n is a solution to the system, where n is any integer. Simply put, any multiple of 20 fits the bill.

Now, there are 11 numbers between 100 and 300 that are divisible by 20 (100, 120, 140, and so on). We have 20n=100 when n=5, so the sum we want to compute is

\displaystyle\sum_{n=5}^{15}20n=\boxed{2200}

4 0
3 years ago
Your teacher says, “There are 100 centimeters in a meter, and this fact is revealed in the unit’s name (centimeter). There are 3
Travka [436]
I think what the teacher wants to express is that SI units are much more convenient to use than English units because the prefixes of the metric system will give you an idea on the conversion factor. Unlike English units, like ft to yard, there is no prefix to help you. You have to know the fact that 1 yard is equal to 3 feet.
8 0
3 years ago
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