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ASHA 777 [7]
3 years ago
14

What is the distance between point A and point B? Round your answer to the nearest tenth.

Mathematics
1 answer:
Alina [70]3 years ago
8 0

Answer:

The distance between A and B is 3.6 units ⇒ 2nd answer

Step-by-step explanation:

* Lets study how to find the distance between two points

- If we have point A (x1 , y1) and B (x2 , y2), then the distance

 between them = √[(x2 - x1)² + (y2 - y1)²]

* Now lets find A and B from the graph and calculate the

 distance between them

∵ A = (-3 , 9) and B = (-1 , 6)

∵ (x2 - x1) = -1 - (-3) = -1 + 3 = 2

∵ (y2 - y1) = 6 - 9 = -3

∴ The distance between A and B = √[2² + (-3)²] = √[4 + 9] = √13

∵ √13 = 3.60555

* to approximate to the nearest tenth, we look to the

  hundredth if it's ≥ 5, then we add the tenth digit by 1

  if not we leave the tenth digit as it

∵ The hundredth is 0

∴ there is no change in the tenth digit

∴ The distance between A and B = 3.6 units ⇒ to the nearest tenth

* The distance between A and B is 3.6 units

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2 years ago
Help me pls!!!!!!!!!
Dominik [7]

Answer:

x^2+18=-9x : x = -3, x = -6

Step-by-step explanation:

x^2+18=-9x

Add 9x to both sides:

x^2+18+9x=-9x+9x

Simplify:

x^2+9x+18=0

Solve with the quadratic formula:

For a quadratic equation of the form ax^2+bx+c=0 the solutions are:

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

For a=1,\:b=9,\:c=18:\quad x_{1,\:2}=\frac{-9\pm \sqrt{9^2-4\cdot \:1\cdot \:18}}{2\cdot \:1}

x =\frac{-9 + \sqrt{9^2-4\cdot \:1\cdot \:18}}{2\cdot \:1} : -3

x =\frac{-9 - \sqrt{9^2-4\cdot \:1\cdot \:18}}{2\cdot \:1} : -6

The solution to the quadratic equation are:

x=-3,\:x=-6

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day!

6 0
3 years ago
Cheryl is moving to a new house. Her old house is 3 kilometers and 457meters from her new house. How many meters is her old hous
MrRissso [65]

Answer:

Her old house is 3000m+457m = 3457m from her new house.

Step-by-step explanation:

Conversion of units problems can always be modeled as a rule of three problem.

Rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In the case of a conversion of units problem, the measures are:

- the value in one unit

- the value in another unit

As the value of the first unit increases, so will the value of the second unit. It means that in a conversion of units problem, we will always have a direct rule of three.

The problem states that Cheryl's new house  is 3 kilometers and 457meters from her old house. The problem wants to know this distance purely in meters, so we have to convert 3km to meters. 1km = 1000m, so:

1km - 1000m

3km - xm

x = 1000*3

x = 3000m

Her old house is 3000m+457m = 3457m from her new house.

5 0
3 years ago
Write an equation for a circle with a radius of 5 and a center located at point (2,8)
Dmitrij [34]
A circles equation is
(x – h)^2 + (y – k)^2 = r^2
The center is at the point (h, k)
The radius is r.

Your circles equation is:
(x – 2)^2 + (y – 8)^2 = 5^2
5 0
2 years ago
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