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deff fn [24]
3 years ago
10

Which equation represents a line which is parallel to the line 3x-4y=283x−4y=28?

Mathematics
1 answer:
Fed [463]3 years ago
5 0

Answer:

Step-by-step explanation:in standard form y= ax+b

-4y = -3x+28

4y =3x-28

or y= 3/4 x -7

So a= 3/4 = slope and -7 is y intercept ( parallel lines have same slope)

Equation 3 is

y= 3/4x-2

which also has slope = 3/4 and y intercept = -2

Parallel lines have same slope

Similarly a perpendicular line will have slope of - 1/a

For equation

y= ax+b

Perpendicular line is

y=( -1/a) x +c

You might be interested in
How many different ways
Lorico [155]

Answer:

120 different ways

Step-by-step explanation:

The formula to count the permutation since the order the matters: nPr = n! / (n - r)!, where n is the total number and r is the total number of chosen.

1) Substitute values into the formula. SMILE has 5 letters, and we choose 5.

5P5 = 5! / (5 - 5)!

5P5 = 5! / 0!

Zero factorial (0!) is always 1.

So, 5P5 = 5! / 1

5! = 5 × 4 × 3 × 2 × 1

5! = 120

Therefore, 5P5 = 120 / 1, which is 120. We can arrange the word SMILE in 120 different ways.

3 0
2 years ago
The bottom end of a ramp at a warehouse is 10 feet from the base of the main dock and is 11 feet long.
Otrada [13]

Answer:

The dock is 4.58 ft high

Step-by-step explanation:

we know that

Applying the Pythagoras theorem

Let

x------> the height of the dock

11^2=x^2+10^2

Solve for x

x^2=11^2-10^2

x^2=121-100

x^2=21

x=\sqrt{21} ft

x=4.58 ft

5 0
2 years ago
Also need help with this problem too if anyone can help
aleksandrvk [35]

Answer:

A=24 sq ft

P=20 ft

Step-by-step explanation:

To make this easier, separate the triangle and the rectangle. To find the area of the triangle multiply the bases and the height and then divide the answer by. So,

(6x4)/2

(24)/2

A=12

The base of the triangle is the same as the base on the rectangle. To get the perimeter, add the 3 side values up.

5+5+6

P=16

For the rectangle, to get the area, just multiply the base value and the height value. So,

(6x2)

A=12

To get the perimeter, add all the side values up. So,

6+6+2+2

P=12

Add the 5 sides of the pentagon up for the perimeter.

5+5+2+2+6

P=20

And finally, add the area of the triangle and the rectangle to get the area of the pentagon.

12+12

A=24

4 0
3 years ago
A cylinder has a volume of 90pi and a radius of 3. what is the height?
kykrilka [37]

Step-by-step explanation:

  • volume of cylinder=90π
  • πr²h=90π
  • 3²h=90
  • 9h=90
  • h=90/9
  • h=10

hope it helps.

8 0
3 years ago
Channing jogs 10 miles a week.how many miles will she jog in 52 weeks
hichkok12 [17]
The total miles are given by multiplying the miles per week and the number of weeks:
total = 10*52 = 520
so the total miles she will jog are 520 miles
8 0
3 years ago
Read 2 more answers
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