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3 years ago

Which of these equations is for a line perpendicular to y-3=5(x-2)?

Mathematics

1 answer:

olasank [31]3 years ago

6 0

Answer:

Step-by-step explanation:

y-3=5(x-2) (rearrange this to be in slope- intercept from) (add 3 to both sides)

y = 5(x-2) + 3 (distribute parentheses)

y = x(5) - 2(5) + 3

y = 5x -10 + 3

y = 5x - 7

recall that for a line with gradient m, the gradient of the perpendicular line will be - (1/m)

hence in our case, our gradient of the original line is 5, hence the gradient of the perpendicular line is -1/5

From the choices, the only one that is consistent with this is C

i.e choice C:

5y + x = 25

5y = -x + 25

y = -(1/5) x + 5 ===> gradient of -1/5

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What makes composing functions different from doing an arithmetic operation of two functions such as adding or dividing them?

11111nata11111 [884]

function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.

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3 years ago

I need help with this question asap

guajiro [1.7K]

((2t+10) / 2) + ((3t-15) / 2) + (3s) = 180
((2t+10) / 2) + ((3t-15) / 2) + (4r) = 180
((2t+10) / 2) + ((3t-15) / 2) + (3s) = ((2t+10) / 2) + ((3t-15) / 2) + (4r)
(2t+10) = (3t-15) t=25
2*25+10= 60 , 3*25-15=60
60+60= 120 , This rectangle has a total of 360 degrees
360 - 120 = 240
240/2 =120
120/ 4 = 30 , 120/3 = 40
r=30 s=40

6 0

3 years ago

Tentukan persamaan garis yang di wakili ruas garis AB,BC,CD dan AD! <br>tolong kak

Ann [662]

Answers:

1. AB: y = - 2x - 6

2. BC: y = x - 3

3. CD: x = 3

4. AD: y = (3/7) x +26/7

Solution:

y-y1=m(x-x1)

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

1. AB

A=(-4,2)=(xa, ya)→xa=-4, ya=2

B=(-1,-4)=(xb, yb)→xb=-1, yb=-4

mab=(yb-ya)/(xb-xa)

mab=(-4-2)/(-1-(-4))

mab=(-6)/(-1+4)

mab=(-6)/(3)

mab=-2

y-ya=mab (x-xa)

y-2=-2(x-(-4))

y-2=-2(x+4)

y-2=-2x-8

y-2+2=-2x-8+2

y=-2x-6

2. BC

B=(-1,-4)=(xb, yb)→xb=-1, yb=-4

C=(3,0)=(xc, yc)→xc=3, yc=0

mbc=(yc-yb)/(xc-xb)

mbc=(0-(-4))/(3-(-1))

mbc=(0+4)/(3+1)

mbc=(4)/(4)

mbc=1

y-yc=mbc (x-xc)

y-0=1 (x-3)

y=x-3

3. CD

C=(3,0)=(xc, yc)→xc=3, yc=0

D=(3,5)=(xd, yd)→xd=3, yd=5

mcd=(yd-yc)/(xd-xc)

mcd=(-4-0)/(3-3)

mcd=(-4)/(0)

mcd= Infinite (Vertical line)

Equation vertical line: x=xc=xd

x=3

4. AD

A=(-4,2)=(xa, ya)→xa=-4, ya=2

D=(3,5)=(xd, yd)→xd=3, yd=5

mad=(yd-ya)/(xd-xa)

mad=(5-2)/(3-(-4))

mad=(3)/(3+4)

mad=3/7

y-ya=mad (x-xa)

y-2=(3/7)(x-(-4))

y-2=(3/7)(x+4)

y-2=(3/7)x+12/7

y-2+2=(3/7)x+12/7+2

y=(3/7)x+(12+7(2))/7

y=(3/7)x+(12+14)/7

y=(3/7)x+26/7

8 0

3 years ago

In a six-sided dice game, a prize is won if the arithmetic mean of number rolled is 3.25-3.75. In a second game, a prize is won

emmasim [6.3K]

Answer: In both options, you should play game number 1 with a winning mean score of 3.25 to 3.75.

To find the average when you roll a die, you need to about up all the values in the set and divide by the number of data points.

In this case, 1 + 2 + 3 + 4 + 5 + 6 = 21 / 6 = 3.5

Since the mean is 3.5, that is what you are most likely to average for your score. Regardless of the number of rolls, this is most likely. Therefore, select the first game.

4 0

3 years ago

Read 2 more answers

Can y’all help me out

Gnoma [55]

Answer:

X= -2

(I think)

Step-by-step explanation:

I hope this helped

8 0

3 years ago