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Vlad1618 [11]
3 years ago
14

(5ab - 10b^2 + 15bc) ÷ 5b

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
7 0

Answer:

Final answer: a-2b+3c

Step-by-step explanation:

5ab/5b= a

-10b^2/5b= -2b

15bc/5b= 3c  

Aleks04 [339]3 years ago
5 0

Answer:

a - 2b + 3c

Step-by-step explanation:

Factor the numerator by factoring out 5b from each term, that is

\frac{5b(a-2b+3c)}{5b}

Cancel the 5b on the numerator/ denominator, leaving

a - 2b + 3c

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Solve the equations<br> x squared + y squared = 36<br> x = 2y + 6
djyliett [7]

Answer:

Given the equations:

x^2+y^2 =36              .....[1]

x =2y +6                     ....[2]

Substitute the value of x in [1] we get;'

(2y+6)^2+y^2 =36

Use identity: (a+b)^2= a^2+2ab+b^2

4y^2+36+24y + y^2 =36

Combine like terms;

5y^2+36+24y=36

Subtract 36 from both sides we get;

5y^2+24y=0

y (5y+24) = 0

By zero product property, we get;

y = 0 and y =- \frac{24}{5} = -4.8

Substitute these y values in [2] to get x values;

For y = 0 we have;

x = 2(0) +6 = 0+6 = 6

For x = -4.8

x = 2(-4.8)+6 = -9.6 + 6 = -3.6

Therefore, the solution for the given equations are; (6, 0) and (-3.6, -4.8)


4 0
3 years ago
The height above ground (in feet) of a projectile is given by the function h(t)=-16t^2+64t+10, where t is the number of seconds
julsineya [31]

Answer:

40 seconds

Step-by-step explanation:

8 0
3 years ago
3y + 8 = ½ y + 28 Find y
Bess [88]

\text{Hi there! :]}

\large\boxed{y = 8}

3y + 8 = 1/2y + 28\\\\\text{Subtract 8 from both sides:}\\\\3y + 8 - 8 = 1/2y + 28 - 8\\\\3y = 1/2y + 20\\\\\text{Subtract 1/2y from both sides:}\\\\3y - 1/2y = 1/2y - 1/2y+ 20\\ \\\text{Convert 3y to 6/2y to make subtracting easier:}\\5/2y = 20\\\\\text{Divide both sides by 5/2 (Multiply by reciprocal, or 2/5):}\\\\\\5/2y * 2/5 = 20 * 2/ 5\\\\y = 8

8 0
3 years ago
The sum of two numbers is 27. One number is 2 times as large as the other. What are the numbers?
mafiozo [28]
X+y=27
x=2y

2y+y=27
y=9

x=27-y
x=27-9=18
7 0
3 years ago
I don’t know what the answer to this question is , help
ipn [44]

Answer:

(4, 0)

Step-by-step explanation:

given the 2 equations

y = x - 4 → (1)

- 4x - 6y = - 16 → (2)

substitute y = x - 4 into (2)

- 4x - 6(x - 4) = - 16

- 4x - 6x + 24 = - 16

- 10x + 24 = - 16 ( subtract 24 from both sides )

- 10x = - 40 ( divide both sides by - 10 )

x = 4

substitute x = 4 into (1) for corresponding value of y

y = 4 - 4 = 0

solution is (4, 0)

3 0
3 years ago
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