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ki77a [65]
4 years ago
12

Perpendicular to y=1/2-1, x-intercept at4

Mathematics
2 answers:
AlexFokin [52]4 years ago
8 0

Answer:

it would be Y= -2x+4

Step-by-step explanation:

To begin, we know that the b value is 4, because that is the x-intercept that is information given, so we can atomatically put that in.

Next we need to find the m value, which can be found by knowing the rules of a perpendicular eqution. to change it you must change the 1/2 and flip the equation and change the signs

soooooo  1/2 would change into 2/1   which is 2 and we would addd the negative sign so

Y=-2x+4

LuckyWell [14K]4 years ago
5 0

Answer:

the desired equation is y = -2x + 8.

Step-by-step explanation:

Given a line with slope 1/2, we find the negative reciprocal of that to obtain the slope of a line perpendicular to the given line:  m = -2.

Recall that at an x-intercept, y = 0.  Here we're told that the x-intercept is (4, 0).  Therefore, y = mx + b becomes 0 = -2(4) + b, or b = 8.

Then the desired equation is y = -2x + 8.

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m= slope   b= y-intercept

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A 20-ounce bag of potato chips costs $3.80. What is the unit rate of the chips?
melisa1 [442]
To find the unit rate you would need to find the cost per ounce of potato chips. To find this you would simply divide. $3.80/20 = .19

So the unit rate in your question is $0.19 

Hope this helps! :)
3 0
3 years ago
Two angles with the same initial and terminal sides but possibly different rotations are called​ __________ angles. Increasing o
Kisachek [45]

Answer:

Two angles with the same initial and terminal sides but possibly different rotations are called​ <u>Coterminal</u> angles. Increasing or decreasing the degree measure of an angle in standard position by an integer multiple of ​ <u>360°</u> results in such an angle. Increasing or decreasing the radian measure of an angle in standard position by an integer multiple of​ <u>2π</u>  results in such an angle.

Step-by-step explanation:

Consider the provided information.

Coterminal angles are angles that share the same sides of the initial and terminal. Depending on whether the given angle is in degrees or radians, calculating coterminal angles is as simple as adding or subtracting 360° or 2π to each angle. An angle of θ° is coterminal with angles of θ±360°k, where k is an integer.

Now fill the blanks as shown:

Two angles with the same initial and terminal sides but possibly different rotations are called​ <u>Coterminal</u> angles. Increasing or decreasing the degree measure of an angle in standard position by an integer multiple of ​ <u>360°</u> results in such an angle. Increasing or decreasing the radian measure of an angle in standard position by an integer multiple of​ <u>2π</u>  results in such an angle.

3 0
3 years ago
WILL MARK BRAINIEST!!!!!! Given: f(x) = 5x3 - x2 - 5x + 1
Vadim26 [7]

Answer:

steps below

Step-by-step explanation:

f(x) = 5x³ - x² - 5x + 1

Local extremes: 15x²-2x-5=0  .. gradient=0

x = (2 ± √2²-4*(15)*(-5)) / (2*15)

  = (2 ± √304) / 30

  = (2 ± 4√19) / 30

  = (1 ± 2√19) / 15

  = (1 ± 8.718) / 15

local maximum: (1 + 8.718) / 15 = 0.648

local minimum: (1 - 8.718) / 15 = - 0.515

the interval(s) where the graph is increasing: x < - 0.515 or x > 0.648

the interval(s) where the graph is decreasing: - 0.515 < x < 0.648

4 0
3 years ago
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