MATHEMATICS MIDDLE SCHOOL

What is 3a squared multiplied by 5a

Answers

Answer 1
Answer: 3a^2 *5a \to \boxed{15a^3}

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Match the like terms.Question 1 options:

6a²


-5x³


a


-x


7y


-12x²

1.
8x²

2.
-2a

3.
15x³

4.
1x

5.
a²

6.
12y

Answers

Step-by-step explanation:

12y with 7y

What are the values of c makes x^2 + 6x + c a perfect square trinomial? 3
6
9
12

Answers

As per the given data, he value of c that makes x^2 + 6x + c a perfect square trinomial is c = 9.

What is trinomial?

A trinomial is a polynomial composed of three terms or monomials in elementary algebra.

To determine the value of c that makes x^2 + 6x + c a perfect square trinomial, we need to use the formula:

(a + b)^2 = a^2 + 2ab + b^2

In this case, we want to find two numbers a and b such that:

x^2 + 6x + c = (x + a)^2

Expanding the right-hand side, we get:

(x + a)^2 = x^2 + 2ax + a^2

Comparing the two expressions, we see that:

The linear coefficient of x is 2a

The constant term is a^2

Therefore, we need to find a number a such that 2a = 6 and a^2 = c. Solving for a, we get a = 3, and substituting into a^2 = c, we get c = 9.

Therefore, the value of c that makes x^2 + 6x + c a perfect square trinomial is c = 9.

For more details regarding trinomial, visit:

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Answer:

c = 9

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2\n\n\text{We have}\ x^2+6x+c=x^2+2(x)(3)+c\n\n\text{Therefore}\ c=3^2=9\n\nx^2+2(x)(3)+3^2=(x+3)^2

Find the lateral area of this pyramidwhose base is an equilateral triangle. Its
slant height is 12 in. and the length of each
side of the triangular base is 5

Answers

Answer:

  90 in²

Step-by-step explanation:

The lateral area can be found using the formula ...

  LA = (1/2)Ph

where P is the perimeter of the base and h is the slant height. For your dimensions, the lateral area is ...

  LA = (1/2)(3×5 in)(12 in) = 90 in²

The lateral area is 90 square inches.
The answer is 90 squared!!!!

Solve each system of linear equations by substitution you will get an x, y point for solutionshow steps
y = x - 4 2x + y = 5


next set is
x + 4y = 6 y = -x + 3


next set is
x + 2y = 6 x - y = 3

next set is
3x - 2y = 9 y = 2x - 7

Answers

{y = x - 4    

                          => 2x+x-4=5 => 3x=9......x=3

{2x + y = 5                                                 y=3-4=-1

________________________________________________

{x+4y=6

{y=-x+3

=> x+4(-x+3)=6

   x-4x+12=6

-3x=-6

x=2

y=-2+3=1

y=1

___________________________________________________-

{x+2y=9

{x-y=3 .......x=3+y


3+y+2y=9

3y=6

y=2

x=3+2=5

x=5

_________________________________

{3x-2y=9

{y=2x-7

3x-2(2x-7)=9

3x-4x+14=9

-x=-5

x=5

y=2*5-7=10-7=3

y=3

600000 80000 10 expanded. form

Answers

600000+80000+10=680,010 six hundred eighty thousand ten

At an orange picking farm, you are allowed to pick up to 40 oranges a day and you have already picked 17. Find the possible number of oranges you can still pick today.

Answers

You can pick 23 or less oranges

Answer:

You Can Pick 23

Step-by-step explanation:

  • 40 - 17 = 23
  • You are allowed to pick 40 and you have already picked 17, meaning you must find how many more oranges you can pick with is 23. You can pick 23 Oranges without going over the 40 orange limit.
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