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belka [17]
1 year ago
9

Find the center (h,k) and radius r of the circle with the given equation. 3(x+2)² +3(y-5)² = 108

Mathematics
1 answer:
Solnce55 [7]1 year ago
5 0

Answer: Center (-2,5) and radius 6

Step-by-step explanation:

Dividing both sides by 3, we get (x+2)^2 + (y-5)^2 = 36

So, the center is (-2,5) and the radius is \sqrt{36}=\boxed{6}

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Stels [109]

Answer:

first one is a and the second one is c

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Kenya exchanges $200 for euros (€). Suppose the conversion rate is €1 = $1.321. How many euros should Kenya receive?
suter [353]
She will get about 151.4 euros when she converts it. 
6 0
3 years ago
If a scale distance of 3.5 inches on a map represent an actual distance of 175 km what actual distance does a scale distance of
gavmur [86]

Considering the definition of map and scale, an actual distance of 269.59 km represent a scale distance of 5.7 inches .

<h3>Definition of map and scale</h3>

A map is a representation of a place, at a size smaller than the real size.

The scale of a cartographic representation is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map. That is, the scale is defined as the proportionality relationship that exists between a distance measured on the ground and its corresponding measurement on the map.

One way to represent the scale is by a fraction, which indicates the proportion between the distance on a map and its corresponding distance in reality:

Scale=\frac{distance on the map}{distance in reality}

<h3>Actual distance in this case</h3>

In this case, you know that a scale distance of 3.5 inches on a map represent an actual distance of 175 km.

To know the real distance that represents a scale distance of 5.7 inches, as the scale ratio is the same as in the previous case, it is expressed:

\frac{3.7 inches}{175 km}=\frac{5.7 inches}{distance in reality}

Solving:

\frac{3.7 inches}{175 km}×distance in reality= 5.7 inches

distance in reality= \frac{5.7 inches}{\frac{3.7 inches}{175 km}}

<u><em>distance in reality= 269.59 km</em></u>

In summary, an actual distance of 269.59 km represent a scale distance of 5.7 inches .

Learn more about map and scale:

brainly.com/question/24693076

brainly.com/question/13150795

brainly.com/question/27928319

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1 year ago
WILL MARK BRAINLIEST
alexandr1967 [171]

Answer:

Equation: 7x - 23 = 25 + x

Solution: x = 8

Step-by-step explanation:

7x - 23 = 25 + x

1. Subtract 25 from both sides:

7x - 23 - 25 = 25 - 25 + x

7x - 48 = x

2. Subtract 7x from both sides to get x on one side:

7x - 7x - 48 = x - 7x

- 48 = -6x

3. Divide both sides by -6 to get x by itself:

8 = x

8 is the solution

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3 years ago
Solve the quadratic equation<br> (x+2)^2=1
bagirrra123 [75]

Answer: x = -1, -3

Step-by-step explanation:

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