Which number in the monomial 215x18y3z21 needs to be changed to make it a perfect cube?3
18
21
215

Answers

Answer 1

Answer: remember
xyz=(x)(y)(z)
if x and y and z are all perfect cubes, xyz is also a perfect cube

remmeber
(x^n)^m=x^(mn)
so if it is perfect cube it can be factored into
(x^n)^3, such taht n is a whole number
basiclaly, see if the expoent is divisble by 3

all of them should be perfect cubes

215x^18y^3z^21

split them up to see which ones need changing

215=5*43, not a perfect cube
could be changed to 6^3, which is 216

x^18=(x^6)^3

y^3=y^3
z^21=(z^7)^3

the 215 needs to be changed

Answer 2

Answer:

Answer: E2020 = 215

Step-by-step explanation:

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What is the solution of this linear system?3x + 5y = -1
2x − 5y = 16
(-3, 2)
(-3, -2)
(3, -2)
(2, -3)

Answers

  3x + 5y = -1
  2x - 5y = 16
  5x = 15
5 5
  x = 3
  3x + 5y = -1
3(3) + 5y = -1
9 + 5y = -1
- 9   - 9
5y = -10
5 5
y = -2
  (x, y) = (3, -2)

The answer is C.

What is the area of this regular polygon?A.311.15 m2

B.
622.3 m2

C.
3034.5 m2

D.
6069 m2

Answers

the right answer is C. what you have been given is base length and height for the seven triangles included in this geometric shape as you can see there are seven sides, and thus seven triangles in the entire heptagon. the formula will be: (base(height)/2)(7)= the area of the heptAGON. Area=the area of each of the triangles within the heptagon. since they all have the same dimensions, your equation will be (30*28.9/2)*7

In this shape you can form a triangle with a height of 30 and a base of 28.9
Area for this triangle would be A=(1/2)(28.9)(30) which is 433.5

Since this shape has 7 sides you can make 7 of these same triangles so you will have 7 triangles with the same area of 433.5

so take 433.5*7 to get 3034.5 which is answer "C"

How do I find the vertex of the equation y= (x+7)^2 - 5 ?

Answers

Follow through with the function (x+7)²
(x+7)² is the same as (x+7)(x+7).
You get x² + 14x + 49
Plug it back into the equation to get
y=x² + 14x + 49 - 5, which equals y=x² + 14x + 44
The formula for the x point in the vertex is -b/2a. (a is x² and b is x)
So -14/2 = -7 = x
Plug this into the equation.
y=-7² + 14(-7) + 44
y=49 - 98 + 44
y=-5

(-7, -5)

I apologize for the error beforehand--I typed 49 instead of 44 and ended up with 0 instead of -5.

If you have an equation in the vertex form $y=(x-h)^2+k$ the vertex is $(h,k)$

In your case $h=-7,k=-5$ so the vertex is $(-7,-5)$

The equation shown below involves a perfect square trinomial. 4x2 + 20x + 25 = 7 Which of the following is a step in solving this equation? A. Take the square root of both sides B. Subtract 25 from both sides C. Square both sides D. Divide both sides by 4

Answers

4 x^2 + 20 x + 25 = 7
Divide both sides by 4:
x^2 + 5 x + 25/4 = 7/4
Write the left-hand side as a square:
(x + 5/2)^2 = 7/4
Take the square root of both sides:
x + 5/2 = sqrt(7)/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
x = sqrt(7)/2 - 5/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
Answer: x = sqrt(7)/2 - 5/2 or x = -5/2 - sqrt(7)/2

Measurement is the use of numbers according to a standard. True or False

Answers

The definition of "measurement" (noun) is the use of numbers, dimensions, quantity, or capacity as ascertained by comparison with a standard. It can also refer to the act of measuring, which is a verb.

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