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3 years ago

Write an equation parallel to the line y=3/2x-2 that goes through (5,1) in point slope form.

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

4 0

Answer: y=3/2x-13/2

Step-by-step explanation:

concept to know: two parallel lines have the same slope

y=3/2x+b

in order to find b or the y-intercept, we plug the point in

y=3/2x+b

1=3/2(5)+b

1=15/2+b

b=-13/2

----------------------------

y=3/2x-13/2

Hope this helps!! :)

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Y ≤ -4(x – 13) – 2 when y = 38?

ale4655 [162]

Answer:

hear you go

Step-by-step explanation:

y $\leq$ -4(x-13)-2

38 $\leq$ -4x+52

x $\geq$ -3.5

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3 years ago

A blackboard has an area of 28 and a perimeter of 22 ft. What are the dimensions of the board?

Alex787 [66]

Answer:

the ancer is c

Step-by-step explanation:

Answer:

Option (c) is correct.

Dimension of board is 4 ft by 7 ft.

Step-by-step explanation:

Given : A blackboard has an area of 28 feet squared and a perimeter of 22 ft.

We have to find the dimension of blackboard and choose the correct option from given options.

Since blackboard is in shape of rectangle thus,

Area of blackboard is 28 feet²

That is, Area of rectangle = 28 feet²

We know Area of rectangle = length × Breadth

substitute, we get,

28 = length × Breadth ......(1)

Also, Perimeter of blackboard is 22 feet.

That is, Perimeter of rectangle = 22 feet

We know, Perimeter of rectangle = 2 (length + Breadth)

substitute, we get,

22 = 2 (length + Breadth)

11 = (length + breadth) ........(2)

Let length be l and breadth be b

Solving (1) and (2) ,

from (2)

b = 11 - l ..(3)

put (3) in (1) , we get,

28 = L (11 - L)

Multiply, we get,

Solving above quadratic equation using middle term split method, we get,

Solving, e get,

Using zero product property, we get,

and

We get ,

and

Thus, length can be 4ft or 7 ft

Substitute, L in (3) , we get,

b = 11 - 4 = 7 ft

b = 11 - 7 = 4 ft

Thus, Dimension of board is 4 ft by 7 ft.

Option (c) is correct. hope it helped <3

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4 years ago

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What is the volume of the cylinder?

AVprozaik [17]

$V_{cylinder}= \pi r^2 l$

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3 years ago

You are creating a decorated rope that is at least 20 feet long to create a rope you are using beads that are 6 inches long writ

Nitella [24]

Answer:

The number of beads used must be at least 40 to make a decorated rope of at least 20 feet length. The inequality is:

$6n\geq 240\\n\geq 40$

Step-by-step explanation:

Let the number of beads used be 'n'.

Now, length of 1 bead = 6 in

∴ Length of 'n' beads = $6\times n=6n\ in$

Now, minimum length of rope is 20 ft. Converting feet to inches, we get:

$20\ ft =20\times 12=240\ in$

Now, beads are inserted in the rope. So, the length of rope is same as the length of all the beads joined together.

As per question, length must be at least 20 ft or 240 in.

Therefore, the length of all beads joined together must be at least 240 inches. This gives,

$6n\geq 240\\n\geq \frac{240}{6}\\n\geq 40$

Therefore, the number of beads used must be at least 40 to make a decorated rope of at least 20 feet length.

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4 years ago

What is the volume of a prism

Cerrena [4.2K]

To find the volume of a prism, the formula is V = B*h

Volume = Base*Height

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3 years ago

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