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ioda
3 years ago
9

Which pair of lines is parallel? A. y=4x+1 and y+4=5 B. y=-2+x and 2y-2x=-2 C. y=1/4x + 2 and y-2=1/2x D. y=1/5x+1 and 5y+x= 10

Mathematics
1 answer:
sdas [7]3 years ago
4 0

Answer:

B. y=-2+x and 2y-2x=-2

Step-by-step explanation:

Two lines are parallel if they have the same slope.

The equation 0of a line is tipically written as y=mx + b, where 'm' represents the slope and 'b' the y-intercept.

Let's evaluate each of the options:

A. y=4x+1 and y+4x=5

Writing the equations in the slope-intercept form, we get:

y=4x+1 → m=4

y=5-4x → m=-4

Given that they have different slopes, they are not parallel.

B. y=-2+x and 2y-2x=-2

Writing the equations in the slope-intercept form, we get:

y=-2+x → m=1

y=-1 + x → m=1

Given that the equations have the same slope, they are parallel.

C. y=1/4x + 2 and y-2=1/2x

Writing the equations in the slope-intercept form, we get:

y=1/4x + 2  → m=1/4

y=1/2x+2 → m=1/2

Given that they have different slopes, they are not parallel.

D. y=1/5x+1 and 5y+x= 10

Writing the equations in the slope-intercept form, we get:

y=1/5x+1 → m=1/5

5y+x= 10 → y=2 - 1/5x → m=-1/5

Given that they have different slopes, they are not parallel.

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David can run 4 miles in 75 minutes .what is Davides jogging rate per hour ?
Nina [5.8K]

Answer:

3.2 miles per hour

Step-by-step explanation:

Time=75 minutes=75/60=5/4=1.25 hours

Speed=Distance/time=4/1.25=3.2 miles per hour

David's jogging rate is 3.2 miles per hour.

4 0
3 years ago
Can someone please read that and give me an answer, i’ve been stuck on it for awhile.
olya-2409 [2.1K]

Answer:

after 21 seconds

Step-by-step explanation:

Given

h = - 16t² + 272t + 1344

When the ball strikes the ground then h = 0, that is

- 16t² + 272t + 1344 = 0 ( divide through by - 16 )

t² - 17t - 84 = 0 ← in standard form

(t - 21)(t + 4) = 0 ← in factored form

Equate each factor to zero and solve for t

t - 21 = 0 ⇒ t = 21

t + 4 = 0 ⇒ t = - 4

However t > 0 thus t = 21

The ball strikes the ground after 21 seconds.

4 0
3 years ago
What is the slope of the lines that are parallel to the line defined by the equation y = -x – 4?
Svet_ta [14]

Answer:

slope = -1

Step-by-step explanation:

parallel lines have the same slope,

y = -x – 4

=> y = -1(x) -4

          ↑ slope

y = mx + b

     ↑ slope

6 0
3 years ago
Help me please!! This test is due tomorrow!! What's the answer? 5 stars and brainliest!
puteri [66]

Answer:

5/36

Step-by-step explanation:

I added them up

Tell me if I am wrong.

Can I get brainliest

3 0
3 years ago
Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each bea
xz_007 [3.2K]

Answer:

To make a profit of at least $500 she must sell at least 12 necklaces

Step-by-step explanation:

Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each beaded necklace was $15. If Joyce sells the beaded necklaces at $35 each then we have to find beaded necklaces she sell to make a profit of at least $500.

The costs side of the equation, we have:

Let no. of necklaces that she sell are x

∴ The cost of making and packaging x beaded necklace is $15x

Total Cost = 95+15x

Now, Joyce sells the beaded necklaces at $35 each. Therefore, selling price will be $35x

To make a profit of at least $500 the equation can be written as

95+15x+500\leq35x

595\leq50x

⇒ x\geq11.9=12

Hence,  to make a profit of at least $500 she must sell at least 12 necklaces



7 0
3 years ago
Read 2 more answers
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