Unit 3: Parallel & Perpendicular Lines Homework 5: Linear Equations Slope-Intercept & Standard Form

Directions: Determine if the equations are parallel, perpendicular, or neither.

11. y = -3x + 6 and y = 1/3 x -8

12. y = 5/4 x + 1 and y = 5/4 x - 7

13. 3x + 2y = 6 and y = -3/2 x + 5

14. 3y = 4x + 15 and 9x + 12y = 12

15. 10x - 2y = 16 and x + 5y = -20

16. 5x + 3y = 3 and 3x + 5y = -25

17. -9y = -3x + 18 and 2x -6y = 30

18. x-y = 5 and x + y = -10

Answer: 1

Step-by-step explanation:

If x = 0

then, f(x) = 1 - 0

f(x) = 1

x = ±1

Let f(x)=0

Answer:

They're literally right on top of each other, u got this

Step-by-step explanation:

they are equivalent

Answer:

B. (0.87, 0.48)

Step-by-step explanation:

I calculated it logically

Answer:

speedometre

Step-by-step explanation:

it's used for mostly by police officer s

Answer:

Speedometer

Step-by-step explanation:

Mainly used to determine the speed of a vehicle

Answer:

120

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

If line A is parallel to line B, therefore,

9x + 4 = 5x + 20 (alternate interior angles theorem)

Solve for x. Collect like terms together

9x - 5x = -4 + 20

4x = 16

Divide both sides by 4

4x/4 = 16/4

x = 4

Therefore, the value of x that will make lime A parallel to line B is 4

Answer:

Median income has not changed

Mean income has increased

Step-by-step explanation:

Initial number of houses = 6

Earning per household = $40,000

The initial mean :

$(40,000 * 6) / 6 = $40000

Initial median :

40000, 40000, 40000, 40000, 40000, 40000

= 1/2(n+1)th term,

Median = 40000

A 7th household earns 4,000,000

Mean = ((40000*6) + 4,000,000) / 7 = $605,714

Median = 1/2(n+1)th term

40000, 40000, 40000, 40000, 40000, 40000, 4000000

Median = 4th term = 40000

Answer:

I got C.)5

Step-by-step explanation:

Answer:

-9,-21

Step-by-step explanation:

let the numbers be x and y and x>y

x-y=12

y=2x-3

x-(2x-3)=12

x-2x+3=12

-x=12-3

-x=9

x=-9

y=2(-9)-3=-18-3=-21

Answer:

It will be in the air until P(x) is zero.

P(x) = -16x2 + 32x = -16x(x - 2)

P(x) = 0 ⇒ x = 0 or x = 2

It starts on the ground at x = 0, so the total time in the air must be x = 2 seconds.

Answer:

19.63cm²

Step-by-step explanation:

1/4 x π x 5² = 19.63495cm²

                  = 19.63cm²

Answer:

29

Step-by-step explanation:

f(3)=3f(2)-f(1)=3x4-1=11

f(4)=3f(3)-f(2)=3x11-4=29

Answer:

2,574 in.³

Step-by-step explanation:

The shape is a rectangular prism.

volume = height * width * depth

volume = 11 in. * 13 in. * 18 in.

volume = 2,574 in.³

Answer:

A4

Step-by-step explanation:

9514 1404 393

Answer:

  y = -5x -8

Step-by-step explanation:

The y-intercept can be found from ...

  b = y -mx

Using the first point, we have ...

  b = 2 -(-5)(-2) = -8

Then the slope-intercept equation is ...

  y = mx + b . . . . . . . . for slope m and y-intercept b

  y = -5x -8

Answer:

the answer is

y=-5×-8

Step-by-step explanation:

:))

Answer:

[tex]\\(x- -1)^{2} + (y- -1)^{2} = 13[/tex]

so, -1, -1 and 13

Answer:

B

Step-by-step explanation:

points (1,4) and (8,11) cross through y=x+3

Answer:

(2 * 60 / 30) * (24 + 2) is not equal to 30

Step-by-step explanation:

1. (9 * 10) / (4 + 1 ) + 12 = 30

2. 2 + (30 - 8 / 4) = 30

3. (2 * 60 / 30) * (24 + 2) = 104 [not equal to 30]

4. (120 / 20) * (2 + 3) = 30

Therefore, the third expression is not equal to 30.

Thenks and mark me brainliest :)

Answer:

Step-by-step explanation:

cos(30) = Adj/hyp

cos(30)  = 6 /x

x = 6 / cos(30)

x = 6 / ( [tex]\sqrt{3}[/tex]/ 2)

x = 12 / [tex]\sqrt{3}[/tex]

(  12 / [tex]\sqrt{3}[/tex] )^2  = 6^2 + y^2

(  12 / [tex]\sqrt{3}[/tex] )^2 - 36 = y^2

144/3 -36 = y^2

48-36=y^2

12 = y^2

[tex]\sqrt{12}[/tex] = y

Answer:

ok so you say I don't know for 10000000000 year's the end. :)

Answer:

Length of AD = 10.47 meter (Approx.)

Step-by-step explanation:

Given:

Triangle ACB is a right angle triangle

Length of AC = 14.8 m

Length of CB = 5.5 m

Length of CD = 6.4 m

Find:

Length of AD

Computation:

Using Pythagorean theorem

Base = √Hypoteneus² - Perpendicular²

Length of AB = √14.8² - 5.5²

Length of AB = 13.74 m

Length of DB = √6.4² - 5.5²

Length of DB = 3.27

Length of AD = Length of AB - Length of DB

Length of AD = 13.74 - 3.27

Length of AD = 10.47

Length of AD = 10.47 meter (Approx.)

Answer:

B. 8

Step-by-step explanation:

Based on the tangent theorem, when two tangents meet at an external point of a circle, the length of the two tangents are said to be equal in length.

Therefore:

JK = JM

Substitute

5x - 12 = x + 4

Collect like terms

5x - x = 12 + 4

4x = 16

4x/4 = 16/4

x = 4

✔️JK = 5x - 12

Plug in the value of x

JK = 5(4) - 12

JK = 20 - 12

JK = 8

Answer:

The answer is 36

Step-by-step explanation:

Because 39+1=40

So then 40-24=16

and then divided by 6 is 36 because when you divide you multiply

Answer:

[tex] V_{cylinder} =16,579.2\: in^3 [/tex]

Step-by-step explanation:

Inner radius [tex] (r_1)[/tex] = 20/2 = 10 in

Outer radius [tex] (r_2)[/tex] = 24/2 = 12 in

Height of the cylinder (h) = 120 in

[tex] \because V_{cylinder} =\pi( r_2^2-r_1^2) h[/tex]

[tex] \therefore V_{cylinder} =3.14(12^2-10^2) 120[/tex]

[tex] \therefore V_{cylinder} =376.8(12^2-10^2) [/tex]

[tex] \therefore V_{cylinder} =376.8(144-100) [/tex]

[tex] \therefore V_{cylinder} =376.8(44) [/tex]

[tex] \therefore V_{cylinder} =16,579.2\: in^3 [/tex]

Answer:C

Step-by-step explanation:

Extinct species tend to be fully gone or not seen in the wild for quite some time endangered would be a better answer for A

Hope this helps

Answer:

3

Step-by-step explanation:

The formula for the Pythagorean's Theorem is a^2 + b^2 = c^2, so first you know that hypotenuse is the longest side or the opposite side from which the right angle is which in this case is the 6 so you are looking for a leg rather then the hypotenuse which means we are going to be doing subtraction.

a^2 + b^2 = c^2

√27^2 - b^2 = 6^2

27 - b^2 = 36

-27            -27

         b^2 = 9

         b^2 = √9

Answer:

B

Step-by-step explanation:

To find the answer, translate each point and then use the process of elimination.

For the first point, the coordinates are (-4, -2). The -4 is x and the -2 is y. Translations up and down relate to the y value, while translations left and right relate to x. To translate up 4 units, add 4 to the y value of the coordinate. -2 + 4 is 2, so the y coordinate of the first point will be 2. That eliminated A and D.

For the second point, translate up 4 units (-5 + 4) and you get -1. So the y value of the second point will be -1. In option C, it is positive 1. So that leaves only B.

Answer:

1100100 base 2

85 base 10

2.522784 seconds

Step-by-step explanation:

Convert 100 from base 10 to the base 2

Reduce 100 by 2 until 0 ; the reminder obtained is written from bottom to top.

2 | 100

2 | 50 r 0

2 | 25 r 0

2 | 12 r 1

2 | 6 r 0

2 | 3 r 0

2 | 1 r 1

__0 r 1

Arranging from the bottom : 1100100 base 2

100 base 10 = 1100100 base 2

1010101 base 2 to base 10

1*2^6 + 0*2^5 + 1*2^4 + 0*2^3 + 1*2^2 + 0*2^1 + 1*2^0

64 + 0 + 16 + 0 + 4 + 0 + 1 = 85 base 10

C)

1 mile = 5280 feets

Distance from earth to moon = 238900 miles

Distance in feets :

(5280 * 238900) = 1261392000 feets

Total distance from moon and back to earth = 2 * 1261392000 = 2522784000 feets

Using the relation :

Speed = distance / time

Speed = 1 feet per nano second

Distance = 2522784000 feets

1 = 2522784000 / time

Time = 2522784000 nano seconds

Converting to second :

2522784000 / 1000000000

= 2.522784 seconds