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3 years ago

Help please! I need answers quickly :((

Mathematics

2 answers:

Rzqust [24]3 years ago

5 0

Answer:

y = - $\frac{1}{2}$ x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = $\frac{0-2}{4-0}$ = $\frac{-2}{4}$ = - $\frac{1}{2}$

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = - $\frac{1}{2}$ x + 2 ← equation of line

Svetlanka [38]3 years ago

4 0

Answer:

x + 2y = 4

Step-by-step explanation:

The y intercept (where it crosses the y axis) is (0,2)

Another point on the line is (4,0)

We can find the slope from these two points

m = (y2-y1)/(x2-x1)

= (0-2)/(4-0)

=-2/4 = -1/2

We have the slope and the y intercept

y = mx+b where m is the slope and b is the y intercept

y = -1/2x +2

We want the equation of the line in standard form

Ax +By =C

Add -1/2x to each side

1/2x +y = -1/2x +1/2x +2

1/2x +y = 2

Multiply by 2 because we do not want fractions

2(1/2x +y) = 2* 2

x + 2y = 4

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kykrilka [37]

Answer:

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Step-by-step explanation:

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3 years ago

Why does -6 - (-2) equal -4?

lukranit [14]

Answer:

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Step-by-step explanation:

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3 years ago

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Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

madam [21]

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Given equation of sphere be $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like $x^{2} +y^{2} +z^{2} =r^{2}$ .

The given equation is $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

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$x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36$

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Learn more about equations at brainly.com/question/2972832

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1 year ago

What are the possible values of x in x2 + 3x + 3 = 0?

Leto [7]

Answer:

Step-by-step explanation:

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2 years ago

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monitta

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3 years ago