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DIA [1.3K]
3 years ago
9

Which equation represents a line that is perpendicular to line l on the graph below?

Mathematics
1 answer:
Bad White [126]3 years ago
3 0

Answer:

y= -1/2x + 3

Step-by-step explanation:

A line perpendicular will have the reciprocal slope.

First you need to find the slope of the line given.

m= rise/ run

m= -2

Now flip for the reciprocal.

The perpendicular line will have a slope of -1/2

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What’s 36 divided by [(18-10)-(8-6)
Mashutka [201]

Answer:

6

Step-by-step explanation:

36 ÷ [(18-10)-(8-6)]

Simplify within each bracket

= 36 ÷ [(8)-(2)]

Solve within the bracket first

= 36 ÷ 6

= 6

8 0
3 years ago
Read 2 more answers
The diameter of a circle is 2 yards. What is the circle's radius?<br> d
Natalka [10]
The circle's radius is 1 yard. You take half of the diameter to get this value. 
6 0
3 years ago
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a garden is made up of two squares and a quarter circle. what are the perimeter and area of the garden
FrozenT [24]
The complete question in the attached figure

Part A) find the perimeter
[perimeter of the garden]=[perimeter square 1]+[perimeter a quarter circle]+[perimeter square 2]

[perimeter square 1]=5+5+5-----> 15 ft
[perimeter square 2]=5+5+5-----> 15 ft
[perimeter a quarter circle]=(2*pi*r)/4------> 2*pi*5/4-----> 7.85 ft

[perimeter of the garden]=[15]+[7.85]+[15]-------> 37.85 ft

the answer Part A) is
the perimeter of the garden is 37.85 ft

Part B) Find the area of the garden

[Area of the garden]=[Area square 1]+[Area a quarter circle]+[Area square 2]

[Area square 1]=5*5-----> 25 ft²
[Area square 2]=5*5-----> 25 ft²
[Area a quarter circle]=(pi*r²)/4------> pi*5²/4-----> 19.625 ft²

[Area of the garden]=[25]+[19.625]+[25]-------> 69.625 ft²

the answer Part B) is
the Area of the garden is 69.625 ft²


8 0
3 years ago
10 POINTS Solve for y: 5y + 2y -4y = 30 ​
Nitella [24]

Answer:

10

Step-by-step explanation:

5y + 2y -4y = 30

To solve first combine like terms

5y+2y-4y=3y

Then isolate your variable, do this by dividing both sides by 3.

3y=30

3y/3=30/3

Finally, simplify

y=10

5 0
3 years ago
Read 2 more answers
While training for a marathon, Jeff wants to increase the number of miles he runs each day. On the first day of training, Jeff r
user100 [1]

Answer:

The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between

 each two consecutive numbers

- Ex:

# 2  ,  5  ,  8  ,  11  ,  ……………………….  (constant difference is 3)

# 5  ,  10  ,  15  ,  20  ,  …………………………  (constant difference is 5)

# 12  ,  10  ,  8  ,  6  ,  ……………………………  (constant difference is -2)

* General term (nth term) of an Arithmetic series:

- If the first term is a and the common diffidence is d, then

 U1 = a  ,  U2  = a + d  ,  U3  = a + 2d  ,  U4 = a + 3d  ,  U5 = a + 4d

- So the nth term is Un = a + (n – 1)d, where n is the position of the

 number in the series

* Lets solve the problem

- Jeff wants to increase the number of miles he runs each day

∴ He will add the initial value by constant number each day

- He plans on increasing the number of miles he runs a day by 1

∴ The constant value is 1 mile

-  On the first day of training, Jeff runs 5 miles

∴ The first value is 5 miles

∴ The series is arithmetic

∵ a = 5 , d = 1

- He do that for the remainder of the week

∵ The week has 7 days

∴ The series has 7 terms

∵ The rule of the series is Un = a + (n - 1)d

∵ a = 5 and d = 1

∴ Un = 5 + (n - 1)(1)

∴ Un = 5 + n - 1

∴ Un = 4 + n ⇒ n is the position of the number

- Substitute n from 1 to 7 to find the series

∴ The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

6 0
4 years ago
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