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garri49 [273]
3 years ago
7

A map has a scale of 3 cm 18 km in Riverside Riverside in Smithville are 54 km apart then they are how far apart on the map

Mathematics
1 answer:
kotegsom [21]3 years ago
3 0

Divide actual km by scale km:

54/18 = 3

Multiply scale cm by that:

3 x 3 = 9

They are 9cm apart on the map

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Determine the center and radius of the following circle equation:<br> x2 + y2 – 10x + 8y + 40 = 0
antiseptic1488 [7]

Answer:

The center of this circle is (5, -4) and the radius is 1.

Step-by-step explanation:

First regroup these terms according to x and y :

x^2 - 10x + y^2 + 8y = -40

Next, complete the square for x^2 - 10x:  x^2 - 10x + 5^2 - 5^2.

and the same for y^2 + 8y:  y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

(x - 5)^2 + (y + 4)^2 = 1

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.  Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

6 0
3 years ago
Read 2 more answers
20 POINTS!!!!!!!!
lorasvet [3.4K]

You are asked to find the missing value in

... 40 + ? = 70

given that it is also the solution to

... ? + 5 = 35

Either way, you subtract the constant that is on the same side of the equation as the unknown.

... 40 + ? - 40 = 70 - 40

... ? = 30 . . . . the missing value

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You can check to see if this also satisfies the equation

... 30 + 5 = 35 . . . . . . . true

7 0
3 years ago
Please write this out on a piece of paper
horrorfan [7]
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In a choir, the ratio of boys to girls is 5 to 6. There are 10 boys in the choir. What is the total number of boys and girls in
Aleks [24]

Answer:

5:6 --> 10:12

Step-by-step explanation:

A good way to think of this is to provide a perspective: there are 5 boys every time there is 6 girls. So if there is 10 boys, that means there would be 12 girls (because 5 *2 = 10 and 6*2 = 12).

tl:dr: 5 *2 = 10 so 6*2 = 12

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2 years ago
100 points Triangle ABC is shown below: Triangle ABC is shown. A is at 2, 1. B is at negative 1, 4. C is at 3, 7. If triangle AB
Vinil7 [7]

Using translation concepts, the coordinates for point C' are given as follows:

C'(-3,7).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The rule for a reflection over the y-axis is given as follows:

(x,y) -> (-x,y).

Hence, for point C', the coordinates are given by:

(3,7) -> (-3,7).

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

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