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blsea [12.9K]
3 years ago
6

Simplify (4x+5y)(2x-3y)+3xy

Mathematics
2 answers:
Assoli18 [71]3 years ago
6 0

Answer: 8x^2 - 15^2 + xy

Step-by-step explanation:

expand brackets by multiplying

(4x+5y)(2x-3y)+3xy

8x^2 - 12xy + 10xy - 15y^2 + 3xy

collect like terms

8x^2 - 15y^2 -12xy + 10xy + 3xy

solve

-12xy + 10xy + 3xy

=1xy (note: when writing/typing the answer, don't add 1 in front of the xy.)

final answer: 8x^2 - 15y^2 + xy

ki77a [65]3 years ago
3 0

Answer:

2x+8y

Step-by-step explanation:

You might be interested in
9 − 5 = 1 /4 (16x + 60)<br> show your work solve for x
leva [86]

Distribute 1/4 to all terms within the parenthesis

9 - 5 = 4

1/4(16x + 60) = (16x + 60)/4 = 4x + 15

4 = 4x + 15

Isolate the x. Note the equal sign. What you do to one side, you do to the other.

Subtract 15 from both sides

4 = 4x + 15

4 (-15) = 4x + 15 (-15)

4 - 15 = 4x

-11 = 4x

Isolate the x. Divide 4 from both sides

(-11)/4 = (4x)/4

x = -11/4

hope this helps

6 0
3 years ago
The weight of a box of chocolates is 2.2 pounds. After taking out 75% of the chocolates, the remaining chocolates and the box we
Margarita [4]

Answer: The weight of the box is 0.2 pounds and the weight of the chocolates before any chocolates were taken out is 2 pounds

Step-by-step explanation:

Let x represent the weight of the box only.

The weight of the box of chocolates is 2.2 pounds. It means that the weight of the chocolate only is

(2.2 - x) pounds

After taking out 75% of the chocolates, the remaining chocolates and the box weigh 0.7 pounds. It means that

2.2 - 0.75(2.2 - x) = 0.7

2.2 - 1.65 + 0.75x = 0.7

0.75x = 0.7 + 1.65 - 2.2

0.75x = 0.15

x = 0.15/0.75

x = 0.2 pounds

The weight of the chocolates before any chocolates were taken out is

2.2 - x = 2.2 - 0.2 = 2 pounds

7 0
3 years ago
Please help! Geometry! Thank you!!
Genrish500 [490]
A=10

b=2 
i got my answer by doing 4*2*2*2 which is 12


4 0
3 years ago
study the diagram of circle K where JL and LM are tangent to circle K at points J and M respectively. Also JL=3x+10 and ML =7x-6
Verdich [7]

Answer:

22

Step-by-step explanation:

The answer is 22. You solve the equation 3x+10=7x-6 like so

3x+10=7x-6

-3     = -3

    10= 4x-6

   +6         +6

     16=4x

      x=4

You then plug in the value of x to the equation for LM.

7x-6 becomes 7*4-6 which is 22.

7 0
4 years ago
What is the slope of the line? <br><br><br> Please help thank you
Elis [28]

Answer:

3

Step-by-step explanation:

basically slope determined from a graph like this can be solved by counting. the formula you need to use is rise/run. choose one of the orange points on the line and then count how many spaces up the next dot is. once we have our number (3), you can count how many spaces over the dot is to the right (1) this leaves you with the fraction 3/1 or 3.

also if the dot is to the left it means the slope is negative. so if the dot is 3 up and 1 to the left the slope would be -3

8 0
3 years ago
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