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kompoz [17]
3 years ago
6

what is an equation of the line that passes through the point (-3,-5) and is parallel to the line 2x+3y=15

Mathematics
1 answer:
Mumz [18]3 years ago
7 0

Answer:y=-2x/3+10

Step-by-step explanation:

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Subtract m + 6 from 4m + 12.
Lemur [1.5K]

Answer:

3m +6

Step-by-step explanation:

4m +12 - (m+6)

Distribute the minus sign

4m +12 -m-6

Combine like terms

3m +6

4 0
3 years ago
What is the fourth term of the expansion of the binomial (2x+5)^5
larisa [96]
For a binomial expansion with exponent 5, the general equation is as follows
(x + y)⁵ = x⁵ + 5x⁴y + 10x³y² + 10x²y³ + 5xy⁴ + y⁵


when expanded from left to right the powers of x decrease from 5 to 0 and powers of y increase from 0 to 5

substitute x =2x and y = 5

(2x + 5)⁵ = (2x)⁵ + 5(2x)⁴5 + 10(2x)³5² + 10(2x)²5³ + 5(2x)5⁴ + 5⁵

              <span>= 32x⁵ + 400x⁴ + 2000x³ + 5000x² + 6250x + 3125
</span>we use the pascals triangle to find the coefficient

we can use the binomial theorem to find the 4th term as well
exponent - 5
term - 4
5!/ (5-4)!4! * (2x)⁴5⁵⁻⁴
=120/24 *16x⁴*5
=400x⁴
7 0
3 years ago
A half-marathon is 13.1 miles long. There is a water station every 1 1/3 miles along the race trail and at the finish line. How
pashok25 [27]

Answer:

10 water stations are needed

Step-by-step explanation:

To get the number of water- station needed, we simply divide the total length of the half marathon by the distance where we can find a water station

mathematically,

that would be 13.1 divided by 1 1/3

= 13.1 divided by 4/3

= 13.1 * 3/4 = 9.825 which is approximately 10

8 0
3 years ago
SIMPLIFY THE EXPRESSION (m − 1)(-4)
Aleonysh [2.5K]

Answer:

The answer is -4m + 4

Step-by-step explanation:

you just distribute -4

8 0
3 years ago
At a basketball game, a team made 53 successful shots. They were a combination of 1- and 2-point
forsale [732]

Answer:

35 two pointers, 18 one pointers

Step-by-step explanation:

equations:

x + y = 53

x + 2y = 88

solving them:

y = 35

x = 18

8 0
3 years ago
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