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AleksandrR [38]
3 years ago
13

What is true for: y = 13(x - 4)2 - 4

Mathematics
1 answer:
notka56 [123]3 years ago
7 0

Answer:

y=78

Step-by-step explanation:

y=13(x-4) 2-4

y=(13-52) -2

y=(-24+104)

y=78

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Write the standard form of the line that passes through the given points. include your work in your final answer. (-1, -3) and (
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The standard form of a line passing through the points (-1, -3) and (2, 1) is <u>4x - 3y = 5</u>.

The slope of the given line, m = (1 - (-3))/(2 - (-1)) = (1 + 3)/(2 + 1) = 4/3.

Computed using the formula for the slope of a line, m = (y₂ - y₁)/(x₂ - x₁), when a line passes through the points (x₁, y₁) and (x₂, y₂).

The point intercept form of a line is <u>y - y₁ = m(x - x₁)</u> when the line passes through the point (x₁, y₁) and has the slope m.

Thus, the given line in the point intercept form can be written as:

y - 1 = (4/3)(x - 2).

The standard form of a line is ax + by = c.

To convert the point intercept form to the standard form, we do as follows:

y - 1 = (4/3)(x - 2),

or, 3(y - 1) = 3(4/3)(x - 2) {Multiplying both sides by 3},

or, 3y - 3 = 4x - 8 {Simplifying},

or, 8 - 3 = 4x - 3y {Rearranging},

or, 4x - 3y = 5 {Rearranging and simplifying}.

Thus, the standard form of a line passing through the points (-1, -3) and (2, 1) is <u>4x - 3y = 5</u>.

Learn more about equations of straight lines at

brainly.com/question/13763238

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6 0
2 years ago
Which expression is equivalent to: −20+(−60)+(−90)? A: 20+60+90 B: −(20−60)+(−90) C: −20−(60−90) D: −20+(−90)+(−60)
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-140

Step-by-step explanation:

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3 years ago
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The answer is C (working shown)

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3 years ago
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Step-by-step explanation:

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2 years ago
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In the diagram below, line segment AB has endpoints at A(-2,-6) and B (3,-1). Give the coordinates of line segment A'B' after a
love history [14]

Answer:

A’ (6,-2)

B’ (1,3)

Step-by-step explanation:

Here, we want to give the coordinates after a counterclockwise rotation of 90 degrees

Given a point with coordinates (x,y)

A counterclockwise rotation at 90 degrees to the origin will yield the coordinates (-y,x)

So A (-2,-6) will be A’ (6,-2) while B (3,-1) will be B’ (1,3)

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3 years ago
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