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IRINA_888 [86]
3 years ago
12

35 POINTS! BRAINLIEST! Please help! SHOW WORK!!

Mathematics
1 answer:
shtirl [24]3 years ago
3 0

the solution is here,

the coordinate of centre of circle A is (3,2)

and the coordinate of centre of circle B is (3,0).

so the translation point from A to B is (3-0,0-2)=(3,-2).

Now the translation rule is given by (x+h,y+k)

where h is the tranalation anlong the x-axis and k is the translation along the y-axis.

For this problem, translation ruleis (x+3,y-2).

Then, radius of circle A(r1)=2 units

radius of circle B (r2)= 3 units

as the circle A is translated to B, the scale factor is

r2/r1=3/2=1.5

In conclusion, the translation rule for given circles is (x+3,y-2) and its scale factor is 1.5

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Solve for Y<br> xy+y+1=y
irakobra [83]
xy+y+1=y\\ \\ xy+1=0\\ \\ xy=-1\\ \\ y=-\frac { 1 }{ x }
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3 years ago
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Find the distance from A to C across the gorge illustrated in the figure
emmasim [6.3K]

Applying the tangent ratio, the distance from A to C across the gorge, is:  60.6 ft.

<h3>What is Tangent Ratio?</h3>

The tangent ratio for solving a right triangle is given as, tan ∅ = opposite/adjacent.

Given the following:

  • ∅ = 25°
  • Adjacent length = 130 ft
  • Opposite length = AC

Apply the tangent ratio:

tan 25 = AC/130

AC = (130)(tan 25)

AC = 60.6 ft

Learn more about the tangent ratio on:

brainly.com/question/4326804

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4 0
2 years ago
What is the simplified answer and how to find it
stiv31 [10]
There you go:), hope was helpful

7 0
4 years ago
this is formula manipulation, I'd appreciate if the steps were provided. only respond if you know how to get the answer, thank y
marissa [1.9K]

Answer:

  1. r = 3V/(2πh²)
  2. h = 3V/b²
  3. r = 25/π cm ≈ 7.9577 cm
  4. w = 15 cm

Step-by-step explanation:

1. Multiply both sides of the equation by the reciprocal of the coefficient of r.

V\cdot\dfrac{3}{2\pi h^2}=r\\\\r=\dfrac{3V}{2\pi h^2}

__

2. Multiply both sides of the equation by the reciprocal of the coefficient of h.

V\cdot\dfrac{3}{b^2}=h\\\\h=\dfrac{3V}{b^2}

__

3. Solve the circumference formula for r, then substitute the given information.

C=2\pi r\\\\r=\dfrac{C}{2\pi}\qquad\text{divide by the coefficient of r}\\\\r=\dfrac{50\,\text{cm}}{2\pi}=\dfrac{25}{\pi}\,\text{cm}\approx 7.9577\,\text{cm}

__

4. Solve the perimeter formula for width, the substitute the given information and do the arithmetic.

P=2(L+W)\\\\\dfrac{P}{2}=L+W\qquad\text{divide by 2}\\\\\dfrac{P}{2}-L=W\qquad\text{subtract L}\\\\\dfrac{40\,\text{cm}}{2}-5\,\text{cm}=W=15\,\text{cm}

_____

In general, solving for a particular variable involves "undoing" what has been done to the variable, usually in the reverse order. In part 4, the variable W has L added and the sum is multiplied by 2. We "undo" those operations, last operation first, by dividing by 2 and subtracting L.

The properties of equality say you can do what you like to an equation as long as you do the same thing to both sides of the equation. So, when we say "divide by 2", we mean "divide both sides of the equation by 2." Likewise, "subtract L" means "subtract L from both sides of the equation."

4 0
3 years ago
write a symbolic rule to represent the relationship in which the output variable y is 12 less than the input variable x.what is
sveticcg [70]

Answer:

the value of output is 29

Step-by-step explanation:

the output variable y is 12 less then the input variable x.

Input variable is x, output variable is y

output values = input variable - 12

now plug in the variable in the equation

output values = input variable - 12

Given the input value is 41

Substitute 41 for x

the value of output is 29

4 0
3 years ago
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