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natta225 [31]
3 years ago
15

Which pair of equations are perpendicular lines? A. 5x + 2y = 9 and y = –5/2x+27/2 B. x – 3y = 11 and y = –3x + 23 C. 4x + 2y =

6 and y = –2x + 18 D. x – 3y = 5 and y = 3x – 1
Mathematics
1 answer:
Contact [7]3 years ago
4 0
Answer: B x - 3y = 11 and y = -3x + 23
Explanation:
Two lines that are perpendicular have slopes that are negative reciprocals, meaning if there are lines that have slope of 2 or 2/3 or -5, lines that are perpendicular have slopes of -1/2, -3/2, 1/5 respectively.

For this question, you must make each equation in terms of y (isolate y)

A: you get -5/2x -(9/2) = y and y = -5/2x + 27/2. Here, -5/2 = -5/2 so this can’t be it. We’re looking for negative reciprocals

B: you get y = 1/3x - 11/3 = y and y = -3x + 23.
1/3 and -3 are negative reciprocals of one another so this is your answer.
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Transform the equation y-2=3(x+1) into standard form.
Anna35 [415]

ANSWER:

The 1st one: -3x + y = 5

ABOUT STANDARD FORM:

  • Ax + By = C
  • A & B & C are integers
  • A & B are both non - zero
  • This form is good to use when wanting to find the x & y intercepts of a line

y - 2 = 3(x + 1)  --- IN POINT SLOPE FORM

y - 2 = 3x + 3

 + 2         + 2

y = 3x + 5 --- IN SLOPE INTERCEPT FORM

-3x  -3x

-3x + y = 5  --- STANDARD FORM


Hope this helps you!!! :)



5 0
3 years ago
Find the volume of a half sphere with a radius of 10
Ugo [173]
The volume of a sphere is calculated like so:
v = 4*pi*r^3/3
so half sphere will have half that volume:
v = (<span>4*pi*r^3/3)(1/2)
</span>v = <span>4*pi*r^3/6
</span>plug in the data:
v = <span>4*pi*(10)^3/6
</span>v = 2094.4
that is the volume of the half sphere
7 0
3 years ago
The cost of a new smart watch at Walmart is
ludmilkaskok [199]

Answer:    $50.50

Step-by-step explanation:

$250.49-$199.99=$50.50

7 0
3 years ago
it takes 21 minutes for 5 people to paint 7 walls. how many minutes does it take 3 people to paint 10 walls
tensa zangetsu [6.8K]
21/7=3mins per wall with 5 people.
Because we assume that all of the people paint at the same rate, 3 X 5=15 mins for one person working alone.
15/3=5 mins per wall with 3 people X 10 people= 50 mins for 3 people to paint 10 walls.


The answer is 50 mins.
8 0
3 years ago
The base diameter and the height of a cone are both
WITCHER [35]

Answer:

11/ 42. *. X^ 2. * X = I/3 X A * h; if E = 1/3 A

Then the answer is EX

Step-by-step explanation:

Volume of cone= 1/3 * base area * height

= 1/3 * pi* (X/2)^2 * X

= 1/3. * 22/ 7 * X^3/4

= 22/ 21 * X^3 / 4

= 11/21 *. X^2/ 2. *. X

= 11/ 42. * X^3

= 11/ 42. *. X^ 2. * X

3 0
3 years ago
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