Are the lines × = 2 and y = 4 parallel? Are they perpendicular? Explain.
○ They are parallel. They are not perpendicular. The line x = 2 is vertical. The = 4 is horizontal. A vertical line is parallel to a horizontal line. line y
○They are not parallel. They are perpendicular. The line x = 2 is vertical. The line y = 4 is horizontal. A vertical line is perpendicular to a horizontal line.
○They are not parallel. They are perpendicular. The line x = 2 is horizontal. The line y = 4 is vertical. A horizontal line is perpendicular to a vertical line
○They are not parallel. They are perpendicular. The line x = 2 crosses line y = 4 at (2,4). A line is perpendicular when it crosses another line at any point.​

Answer:

Step-by-step explanation:

6(2x+ 10) = x - 61

12x + 60 = x - 61

11x + 60 = -61

11x = -121

x = -11

6y= -11 - 61

6y = -72

y = -12

(-11, -12)

y=2x+10

Swap sides so that all variable terms are on the left hand side.

2x+10=y

Subtract 10 from both sides.

2x=y−10

Divide both sides by 2.

2

2x

​  

=  

2

y−10

​  

Dividing by 2 undoes the multiplication by 2.

x=  

2

y−10

​  

Divide y−10 by 2.

x=  

2

y

​  

−5

SOLVE FOR Y

y=2(x+5)  

6y=x−61

Swap sides so that all variable terms are on the left hand side.

x−61=6y

Add 61 to both sides.

x=6y+61

SOLVE FOR Y

y=  

6

x−61

​  

Answer:

The y-intercept of line A is 6 and the y-intercept of line B is 6. Basically y-intercept is the y variable and in this case 6 is the y variable (0, 6). This means that line A and line B are the same. Not sure what options you have in the end but they are the same. Hope this helps, thank you :) !!

Answer:

10.7a−8.1b

I hope I helped you!

Answer:

a) aₙ = n+5 → 6,7,8,9,10....

b) aₙ = 5n  → 5,10,15,20,25...

c) aₙ = 3n+5 → 8,11,14,17,20

d) aₙ = 5n+3 → 8,13,18,23,28

Step-by-step explanation:

Explanation

Given [tex]n^{th}[/tex] term of the sequence

aₙ = n+5

Put n =1

a₁ = 1+5 =6

put n =2

a₂ = 2+5 =7

Put n=3

a₃ = 3+5 =8

and so on

The sequence  6,7,8,9,10....

b)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n

Put n=1 ⇒ a₁ = 5

put n=2 ⇒ a₂ = 10

and so on

5,10,15,20,25..

c)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 3n +5

put n=1 ⇒   a₁ =8

Put n=2  ⇒ a₂ =11

Put n=3  ⇒ a₃ = 14

and so on

The sequence  8 , 11, 14 , 17 , 20 ..

d)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n +3

Put n=1 ⇒ a₁ = 8

Put n=2⇒ a₂ = 13

Put n=3 ⇒a₃ = 18

and so on

The sequence 8,13,18, 23..

Answer:

(-1,2)

Step-by-step explanation:

Answer:

the blank= 12.82

Step-by-step explanation:

Answer:

12.82

Step-by-step explanation:

x = blank

x / (-2) = -6.41

multiply both sides by -2

x = 12.82

Answer:

Angle PSQ is 61°

Step-by-step explanation:

In the triangle ΔPQR, we have;

m∠QPS = 65°

m∠PRQ = 43°

Line PSR is a straight line

m∠PQS : m∠SQR = 3:1

Therefore;

∠PQR = 180° - (∠QPS + ∠PRQ), by the angle sum theorem of a triangle

∴ ∠PQR = 180° - (65° + 43°) = 72°

∠PQR = 72°

∠PQR = m∠PQS + m∠SQR by angle addition postulate

m∠PQS : m∠SQR = 3:1

∴ m∠PQS = 3 × m∠SQR

∴ ∠PQR = m∠PQS + m∠SQR = 3 × m∠SQR + m∠SQR = 4 × m∠SQR

∠PQR = 4 × m∠SQR

∴ 4 × m∠SQR = ∠PQR = 72°

m∠SQR = 72°/4 = 18°

m∠PQS = 3 × m∠SQR = 3 × 18° = 54°

m∠PQS = 54°

∠PSQ = 180° - (∠QPS + ∠PQS) by the angle sum theorem

∴ ∠PSQ = 180° - (65° + 54°) = 61°

Angle ∠PSQ = 61°.

Answer:

1/15 OR .067

Step-by-step explanation:

Hope this helps!

Answer:

9-3=6

Or

6+3=9

Hope this helps!

Answer: 3(x-3)/4-1/2=2/3  

Step-by-step explanation:

The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...

4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12

Answer:

12

Step-by-step explanation:

got it right on my quiz

Answer:

2nd answer choice No, 6/2 does not equal 2/24 :)

Step-by-step explanation:

6/2=3 while 24/10=2.4

Another way you could think about it:

6*2=12

2+2=4

6*3=18

4+2=6

6*4=24

6+2=8

So 24 ounces of the shake would only be 8 grams of protein.

Answer:

Step-by-step explanation:

3 ( y + 8) = 2y - 6

3y + 24 = 2y - 6

3y - 2y = - 6 - 24

y = - 30

Step-by-step explanation:

3y + 24 = 2y -6. subtract 2y from each side

y +24 = -6 subtract 24 from each side

y = -30

Answer: equation y = 1/2 x -4

Step-by-step explanation:

Since u have the slope just keep working with it 1 down 2 left and u will arrive at the y intercept

Answer:

8m+-9n

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Area of a parallelogram= bh

b- base

h- height

y in your problem would be the base and h would be the height

Answer:

a) infinite values of y are possible , one such value is -7 for x=0

b) 35

Step-by-step explanation:

a) this is because for every value of x there would be a corresponding value of y

b) the equation follows equation of straight line i.e y=mx+c , so , m=35

hope the above solution will help you

Answer:

Sixth day

Step-by-step explanation:

Keep adding 2 until you get to 13

Answer:

1: 1/5

3: 0.1875

5: 0.5333

Step-by-step explanation:

I used a calculator.

Hope this helps :)

Answer:

1. 1 1/12

2. 3/16

3. 8/15

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

-2x - 4 = x - 5

-3x - 4 = -5

-3x = -1

x = 1/3

y = 1/3 - 5

y = 1/3 - 15/3

y = -14/3

(1/3, -14/3)

Answer:

Airplane rides (3/5 ) and Bumper cars(7/12)

Step-by-step explanation:

The airplane rides is 3/5 full the Ferris wheel is 3/8 full the bumper cars are 7/12 full

what fraction of these rides are more than a half

Half = 1/2 = 0.5

Hence, we convert the fractions to decimals

The airplane rides is 3/5 full

= 3/5 = 0.6

The Ferris wheels is 3/8 full

= 3/8 = 0.375

The bumper cars are 7/12 full

= 7/12 = 0.583

The fraction of these rides that are more than a half are:

Airplane rides (3/5 ) and Bumper cars (7/12)

Answer: The answer is ACTUALLY C

Step-by-step explanation:

REMEMBER: The radius is always half of the diameter.

So the question is asking us what is the radius of a garden with a circumference of 28. In order to find HALF of that you would need to divide 28 so the answer is ( C ) not d...

SOLID PROOF:  

Answer:

104.7664068

Step-by-step explanation:

Answer:

59.04°

Step-by-step explanation:

Elise is standing on top of a 50 foot building and sees her friend, Molly. If Molly is 30 feet away from the base of the building, what is the angle of depression from Elise to Molly? Elise's eye height is 4.5 feet.

We solve using the Trigonometric function of Tangent

tan x = Opposite/ Adjacent

tan x= 50 ft/30ft

x = arc tan (50 ft/30 ft)

x = 59.036243468°

Approximately = 59.04°

Answer:

1.45%+4.2%= 5.65%

100%->650

5.65%-> 36.725

650- 36.725 - 10 = 603.275

~ 603. 27

hence answer is b

Correct Answer: $603.27