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yulyashka [42]
3 years ago
11

A rope is 3a +6 m long and is attached to another rope of length 2a-7 m find the total length​

Mathematics
1 answer:
allochka39001 [22]3 years ago
7 0

Answer:

= 5a - 1

Step-by-step explanation:

rope 1 = 3a + 6

rope 2 = 2a - 7

total length = 3a + 6 + 2a - 7

                   = 3a +2a + 6 - 7

                   = 5a - 1

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Divide.<br><br> (6x^2+36x+35)/(x+5)<br><br> Your answer should give the quotient and the remainder.
zheka24 [161]

Answer:

6x+6+\frac{5}{x+5}

Step-by-step explanation:

When we divide polynomials by polynomials with more than one term, we use long division or factorization to simplify.

This polynomial isn't easily divided after factorization so we will use long division. And we will use the remainder theorem to write any remainder.

\frac{(6x^2+36x+35)}{(x+5)}

We start long division by finding what multiplies with x+5 to get  6x^2+36x. This is 6x.

So 6x(x+5)=6x^2+30x. We have 6x left as a remainder from 36x.

We now divide x+5 into 6x+35. What multiplies with x+5 to get 6x+35? 6.

So we have 6x+6 as our answer so far and after we multiply 6(x+5)=6x+30 we will have a final remainder of 5.

We write our answer as 6x+6+\frac{5}{x+5}.


3 0
3 years ago
Solve the system of equations: x – 4y = –8 and –3x + 12y = 24.
ale4655 [162]
It should be C
Because when u multiply ( -3)*(x-4y= -8)

It’ll equal to -3x+12y=24 which is the same equation to the other one.
When the equations r the same, it means everything on the line is the solution for this system of equation.
4 0
3 years ago
Read 2 more answers
Solve the expression 94-x-67-x
Leni [432]

I guess it is simplifying the expression:

{ \tt{94 - x - 67 - x}} \\  = { \tt{94 - 67 + ( - x - x)}} \\  = { \tt{27 - (x + x)}} \\  = { \tt{27 - 2x}}

7 0
2 years ago
Read 2 more answers
If the lcm of two numbers a and b is 40 what is the lcm of 7 a^2 and 7b^2
nekit [7.7K]

Answer:

11,200

Step-by-step explanation:

Given that the lcm of a and b  is 40 then a and b are factors of 40. All the multiples of 40 as sets are 1 and 40, 2 and 20, 4 and 10, 5 and 8. Of all these, only 5 and 8 would give a lcm of 40.

Let a = 5 and b = 8 as such,

7 a^2 = 7 * 5^2 = 175

7b^2 = 7 * 8^2 = 448

Then the lcm of 7 a^2 and 7b^2

= 11,200

7 0
3 years ago
Hazel wants to build a concrete patio that will be 9 yards by 11 yards. It will cost $4.00 per square yard to build. What will b
Serggg [28]

Answer:

$396

Step-by-step explanation:

The total cost of the patio = area of the patio x cost per square yard

area of the patio = area of a rectangle = length x breadth = 11 x 9 = 99 yards^2

total cost of the patio = 99 x 4 = $396

8 0
2 years ago
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