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4 years ago

Find the equation of a line perpendicular to y=10 through the point (2,-3)

Mathematics

1 answer:

Lady_Fox [76]4 years ago

8 0

Perpendicular slopes are opposite reciprocals

-3=1/10x + 2
-5=-1/10x
50=x

y = -1/10x + 2

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Which equation correctly uses point (–2, –6) to write the equation of this line in point-slope form? Y – 6 = y minus 6 equals St

GenaCL600 [577]

Answer:

Part 1) $y+6=\frac{2}{5}(x+2)$

Part 2) $y+6=\frac{5}{2}(x+2)$

Step-by-step explanation:

The equation of the line in point slope form is

$y-y1=m(x-x1)$

we're going to analyze two cases

First case

$Point\ (-2,-6)$

$slope\ m=\frac{2}{5}$

substitute

$y+6=\frac{2}{5}(x+2)$

therefore

y plus 6 equals StartFraction 2 Over 5 EndFraction left-parenthesis x plus 2 right parenthesis

Second case

$Point\ (-2,-6)$

$slope\ m=\frac{5}{2}$

substitute

$y+6=\frac{5}{2}(x+2)$

therefore

y plus 6 equals StartFraction 5 Over 2 EndFraction left-parenthesis x plus 2 right parenthesis

5 0

3 years ago

Read 2 more answers

The first side of a triangle is 2 inches shorter than the second side. The third side is 5 inches longer than the second side. I

fomenos

Let the length of second side be x" ,

So,
Length of first side = 2" shorter than second = ( x - 2 )"
Length of third side = 5" longer than second = ( x + 5 )"

=×=×=×=×=×=×=×=×=×=×=×=×=×=×=×=×=

$\text{Perimeter = sum of all sides }$

Given, perimeter = 33"

= > first side + second side + third side = 33"

= > ( x - 2 ) + x + ( x + 5 ) = 33

= > x - 2 + x + x + 5 = 33

= > 3x + 3 = 33

= > 3x = 30

$= \: > x = \frac{30}{3}$

= > x = 10

Hence, length of each side is

First side = ( x - 2 )" = ( 10 - 2 )" = 8 inches

Second side = x " = 10 inches

Third side = ( x + 5 )" = ( 10 + 5 )" = 15 inches

8 0

3 years ago

Please people help me with this

lisabon 2012 [21]

Answer:

see explanation

Step-by-step explanation:

Using the rules of logarithms

• log x + log y = log xy

• log x - log y = log ( $\frac{x}{y}$ )

• log $x^{n}$ = n log x

(a)

$log_{7}$ 9 + $log_{7}$ 2 = $log_{7}$ (9 × 2) = $log_{7}$ 18

(b)

$log_{8}$ 7 - $log_{8}$ 11 = $log_{8}$ $\frac{7}{11}$

↑ required value

(c)

2 $log_{9}$ 2 = $log_{9}$ 2² = $log_{9}$ 4

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3 years ago

BRAINLIEST!! QUICKK: which is bigger Saturn or Jupiterrrrrr

frosja888 [35]

Answer:

Jupiter is the biggest planet

4 0

3 years ago

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Point A(4, 2) is translated according to the rule (x, y) -> (x + 1, y – 5) and then reflected across the y-axis. a) In which

Rzqust [24]

a) In which quadrant of the coordinate plane is point A located? Quadrant I

b) what are the coordinates of translated point A'? in which quadrant of the coordinate plane is point A located? (5,-3) ; Quadrant IV

c) what are the coordinates of reflected point A''? in in which quadrant of the coordinate plane is point A located? (-5,-3) ; Quadrant III

Pls. see attachment.

7 0

3 years ago