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Andrew [12]
3 years ago
6

I NEED HELP ON QUESTION #4

Mathematics
1 answer:
nalin [4]3 years ago
5 0
No, they are not equivalent.

9w ×0 is already 0.
0 - 12 = -12

-12 doesn't equal 9w - 12.

Hope this helps!
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A line passes through (10,2) and (14,-22). Write the equation of the line in standard form.
jarptica [38.1K]

Answer:

The equation of the line in standard form is:

6x + y = 62

Step-by-step explanation:

Given the points

  • (10,2)
  • (14,-22)

Determining the slope between (10, 2) and (14, -22)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(10,\:2\right),\:\left(x_2,\:y_2\right)=\left(14,\:-22\right)

m=\frac{-22-2}{14-10}

m=-6

The point-slope form of the line equation is  

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

substituting the values m = -6 and the point (10, 2) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - 2 = -6(x - 10)

y - 2 = -6x +60

adding 2 to both sides

y-2+2 = -6x + 60 + 2

y = -6x +  62

We can write the equation in the standard form such as

Ax + By = C

Thus,

y = -6x +  62

adding -6x to both sides

6x + y = -6x + 62 + -6x

6x + y = 62

Therefore, the equation of the line in standard form is:

6x + y = 62

4 0
3 years ago
Select each statement that is true for all polynomials
Sergio [31]

Answer: When two polynomials are multiplied, the product is always a

polynomial.

Step-by-step explanation:

The only true property for polynomials is the third options because when you do multiply polynomials, you can only get a polynomial.

For instance;

Multiply (5x – 6y) by (7x – 4y)

= (5x – 6y)(7x – 4y)

= 35x² - 20xy - 42xy + 24y²

=  35x² - 62xy + 24y²

The result is a polynomial.

The rest of the options will not always yield polynomials.

3 0
4 years ago
A cylinder has a height of 6 millimeters and a radius of 12 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer
Dafna1 [17]

Answer:

2712.96 mm³

Step-by-step explanation:

V = πr²h

= 3.14 x 12 x 12 x 6

= 37.68 x 72

= 2712.96 mm³

6 0
2 years ago
Read 2 more answers
Find the coefficient of x^4 in the expansion of<br> (2x+1)^12
harina [27]

Answer:

7920

Step-by-step explanation:

you can use the binomial theorem obviously but you can also use symbolabs or wolframalpha and just solve it like that.

7 0
3 years ago
Which is equivalent to (4 x y minus 3 z) squared, and what type of special product is it
Svetllana [295]

Answer:

c

Step-by-step explanation:

8 0
4 years ago
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