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dmitriy555 [2]
3 years ago
5

The equation of line AB is (y-3)=5(x-4) what is the slope of a line perpendicular to line AB

Mathematics
1 answer:
Softa [21]3 years ago
7 0
Solving for y, we can start by expanding to get y-3=5x-20. Next, we can add 3 to both sides (to separate y), resulting in y=5x-17. To find the slope in the equation y=mx+b, you simply find what you multiply x by, which is 5 in this case. To find a perpendicular slope, you start by making the slope (5 in this case) negative. Next, we find the reciprocal of the number. Since -5 can be written as -5/1, the reciprocal and therefore perpendicular slope is -1/5
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Help me please ❤️ !!!!
DIA [1.3K]

Answer:

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<u>Linear Function</u>

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Neither one of these always looks like a parabola.

6 0
3 years ago
Find the x-intercept of a porabola with a vertex of (-3,-14) and y-intercept (0,-13)
mina [271]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here (h, k) = (- 3, - 14), thus

y = a(x + 3)² - 14

To find a substitute (0, - 13) into the equation

- 13 = 9a - 14 ( add 14 to both sides )

9a = 1 ( divide both sides by 9 )

a = \frac{1}{9}, hence

y = \frac{1}{9}(x + 3)² - 14 ← equation of parabola

To find the x- intercepts let y = 0

\frac{1}{9}(x + 3)² - 14 = 0

Multiply through by 9

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(x + 3)² = 126 ( take the square root of both sides )

x + 3 = ± \sqrt{126} = ± 3\sqrt{14}

Subtract 3 from both sides

x = - 3 ± 3\sqrt{14}

The x- intercepts are therefore

x = - 3 - 3\sqrt{14} ≈ - 14.22 ( to 2 dec. places ) or

x = - 3 + 3\sqrt{14} ≈ 8.22 ( to 2 dec. places )

3 0
3 years ago
Which trigonometric function is equivalent to sec(-270) ? a. sec(-120) c. sec(-30) b. sec(60) d. sec(90)
BARSIC [14]
The equivalent of sec (-270) will be found as follows:
we add our angle to 360°
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The answer is d. sec(90)
8 0
3 years ago
4.4 and 4.40 which one is is greater or are they equal??
aleksklad [387]

Answer:

Both are equal

Step-by-step explanation:

Because 4.40 = 4.4

4 0
3 years ago
Read 2 more answers
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svet-max [94.6K]
Segment  F'G'  is 7 units long,
just like segment  FG is .

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Translation and reflection don't change anything
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