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gtnhenbr [62]
3 years ago
11

Write an equation of a line in slope intercept form that is parallel to y = 3x+6 and passes through the point (-10, 2.5)

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

1) Line should be parallel to y = 3x+6, so slope of this line should be =3.

y=mx +b

y=3x +b

Now we have to find b (y-intercept), using the point (-10, 2.5).

2.5 = 3*(-10)+b

b=2.5+30=32.5

y=3x + 32.5

2) The line should be perpendicular to y = -4x -2, so its slope is going to be negative reciprocal m= 1/4.

Now we have to find b (y-intercept), using the point (-16, -11).

y=(1/4)x +b

-11=(1/4)*(-16) + b

-11 = -4 +b

b = -7

y=(1/4)x - 7

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9-8x^2+2x^4 is this a trinomial​
Svetradugi [14.3K]

Yes. A monomial is a term composed by a coefficient and powers of variables multiplied with each other, for example

3xy^3z^2

is a monomial.

In your case, the monomials are

9,\quad 8x^2,\quad 2x^4

As the name suggests, a trinomial is the sum of three monomials, which is exactly your case.

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3 years ago
Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference?
ivann1987 [24]

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The distance is the absolute value of the difference.

Step-by-step explanation:

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8 0
3 years ago
A recipe calls for 4 teaspoons of baking soda. How many cups are needed if the recipe is done 12 times?
Gnoma [55]
4 teaspoons times 12 equals 48 teaspoons.
6 0
3 years ago
Does 20, 40, 30 form a pythagorean triple
Tatiana [17]

Answer:

Step-by-step explanation:

If it is a Pythagorean Triple the hypotenuse and the legs of a right triangle will all be integer values where

c^2=a^2+b^2

In this case, this isn’t even a right triangle as

20^2+30^2=40^2

400+900=1600

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6 0
3 years ago
What is the third term in the binomial expansion of (3x y3)4? 54x2y3 18x2y3 18x2y6 54x2y6.
hjlf

From the simplified form of the expression, the third term on expansion is 54x^2y^6

Given the expression (3x + y^3)^4

  • For binomial expansion, the power of 3x will be decreasing while y^3 will be increasing.

On expansion, the resulting expression will be:

  • =(3x + y^3)^4\\=(3x)^4(y^3)^0 + 4 (3x)^3(y^3)^1 + 6(3x)^2(y^3)^2 + 4(3x)^1(y^3)^3 + (3x)^0(y^3)^4\\

Simplify the result to have:

  • =81x^4+81x^3y^3+54x^2y^6+12xy^9+y^{12}

From the simplified form of the expression, the third term on expansion is 54x^2y^6

Learn more on binomial expansion here: brainly.com/question/13800206

8 0
2 years ago
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