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3 years ago

What is the distance between (-6, 8)and (-3, 9)?

Mathematics

1 answer:

zmey [24]3 years ago

7 0

The distance between the points is. 3.16227766016838

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Which of these numbers is not rational?

leva [86]

Answer: A: $\sqrt{3}$

Step-by-step explanation:

The square root of 3 is an irrational number. It is also known as Theodorus' constant, after Theodorus of Cyrene, who proved its irrationality.

4 0

3 years ago

Read 2 more answers

Given the following image, find the angle of rotation and the number of times each figure can rotate.

Dmitriy789 [7]

Rotated: The figure can be rotated 2 times. Angle of Rotation: 180 ∘

7 0

2 years ago

Bottles of sparkling water usually cost $1.69. The grocer changed the price to 4 for $5. You bought one bottle last week for $1.

sleet_krkn [62]

Given :

Cost of single bottle, C = $1.69 .

Cost of 4 bottles, B = $5 .

You bought one bottle last week for $1.69 and one bottle this week at the 4 for $5 price.

To Find :

Did you pay more or less for the bottle this week at 4 for $5? How much more or less?

Solution :

Effective price per bottle if we purchase 4 is, E = 5/4 = $1.25 .

Regular price, R = $1.69 .

Change in price, C = $( 1.69 - 1.25 ) = $0.44 .

Therefore, we are paying $0.44 less than the actual price.

Hence, this is the required solution.

8 0

3 years ago

Read 2 more answers

Solve for x in the equation 2x^2-4x-9=29

Andrews [41]

Answer:

x = 1 ±2sqrt(5)

Step-by-step explanation:

2x^2-4x-9=29

Add 9 to each each side

2x^2-4x-9+9=29+9

2x^2-4x=38

Divide by 2

2/2x^2-4/2x=38/8

x^2 -2x =19

Complete the square

x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2

x^2 -2x +1 = 19+1

(x-1)^1=2 = 20

Take the square root of each side

sqrt((x-1)^2) = ±sqrt(20)

x-1 = ±sqrt(20)

Add 1 to each side

x-1+1 = 1 ±sqrt(20)

x = 1 ±sqrt(20)

Simplifying the square root of 20

x = 1 ±sqrt(4)sqrt(5)

x = 1 ±2sqrt(5)

3 0

3 years ago

7 times the number of cookies in the jar plus 5 more from the tray is 54. How many cookies are in the jar?

Digiron [165]

Answer:

The number of cookies in the jar is 7.

If we include the 5 cookies from the tray in the jar the total number of cookies would be 5 + 7 = 12

Step-by-step explanation:

<em>Consider the number of cookies in the jar as 'x'. Hence the equation formed would be:-</em>

7(x) + 5 = 54

7x + 5 = 54

7x = 54 - 5

7x = 49

x = $\frac{49}{7}$

x = 7

The number of cookies in the jar is 7.

If we include the 5 cookies from the tray in the jar the total number of cookies would be 5 + 7 = 12

<em>Hope this helps.</em>

8 0

3 years ago