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Makovka662 [10]
2 years ago
15

There are 2 squares and 10 triangles. What is the simplest ratio of squares to triangles

Mathematics
1 answer:
kipiarov [429]2 years ago
8 0

Answer:

1/5

Step-by-step explanation:

2 squares to 10 traingles is 2/10

But if you divide both top and bottom by 2, it simplifies to 1/5

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"Complete the square" to convert the equation of each circle to graphing form. Identify the center and the radius.
Reil [10]

Answer:

The center is (-3,2) and the radius is r=2

Step-by-step explanation:

The general equation of the given circle is

x^2+6x+y^2-4y=-9

Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;

x^2+6x+3^2+y^2-4y+(-2)^2=-9+3^2+(-2)^2

x^2+6x+9+y^2-4y+4=-9+9+4

x^2+6x+9+y^2-4y+4=4

The quadratic trinomials in x and y on the left side of the equations are perfect squares.

We factor to obtain;

(x+3)^2+(y-2)^2=4

(x--3)^2+(y-2)^2=2^2

Comparing to:

(x-h)^2+(y-k)^2=r^2

The center is (-3,2) and the radius is r=2

8 0
3 years ago
The sum of three numbers is 95. The first number is 5 more than the third. The second number is 4 times the third. What are the
kotykmax [81]

Answer:

20, 60, 15

Step-by-step explanation:

Let the third number be n, then

The first number is n + 5 and the second number is 4n

Sum the 3 numbers and equate to 95, that is

n + 5 + 4n + n = 95 ← collect like terms on left side

6n + 5 = 95 ( subtract 5 from both sides )

6n = 90 ( divide both sides by 6 )

n = 15

Thus

The first number is 15 + 5 = 20

The second number is 4 × 15 = 60

The third number is 15

4 0
3 years ago
(2y-at)(y+2at) find the product
Fynjy0 [20]
(2y-at)(y+2at)


Answer: <span><span><span>−<span><span>2<span>a^2</span></span><span>t^2</span></span></span>+<span><span><span>3a</span>t</span>y</span></span>+<span>2<span>y^<span>2

I hope this helps</span></span></span></span>
6 0
3 years ago
Read 2 more answers
= 21229<br> = 72112<br> = 18284<br> ⚫️ = ?
lidiya [134]
do you mean by this
6 0
3 years ago
Above is a graph of a proportional relationship. Explain the significance of the following points on this line:
KonstantinChe [14]

Answer:

1. at 1 hour, 3 miles is the distance.

2. at 0 hours, 0 miles is the distance.

3. at 3 hours, 9 miles is the distance.

5 0
3 years ago
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