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lara [203]
3 years ago
11

a triangle with vertices (0 0) (5 3) (10 1) is dilated with a center of dilation at the origin by a factor of 5. what are the ne

w vertices ​
Mathematics
1 answer:
Anastasy [175]3 years ago
6 0
Algebraic rule —-> (x,y)—->(5x,5y)

(0,0) —> 0,0
(5,3)—-> 25,15
(10,1)—->50,5
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Robin can mow a lawn in 3 hours, while Brady can mow the same lawn in 4 hours. How many hours would it take for them to mow the
BaLLatris [955]
The answer is <span>twelve sevenths (12/7)
</span>
x - the job<span>
t - time to do the job x

</span><span>Robin can mow a lawn in 3 hours: x/3 * t
</span><span>Brady can mow the same lawn in 4 hours: x/4 * t

</span><span>If they work together, the total work will be the sum of their speeds:
</span>x = x/3 * t + x/4 * t = (x/3 + x/4)*t = (4x/12 + 3x/12) * t = 7x/12 * t

x = 7x/12 * t

Divide both sides by x:
x/x = 7x/12 * t/x
1 = 7/12 t
t = 1 : 7/12
t = 12/7
5 0
2 years ago
Suppose a ball is thrown upward to a height of h 0 meters. After each​ bounce, the ball rebounds to a fraction r of its previous
gladu [14]

Answer:

A)1st term:45

2nd term:48.75

3rd term:49.6875

4th term:49.921875

B) Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

Step-by-step explanation:

We are given;

h₀ = Initial height of the ball = 30

r = Rebound fraction = 0.25

a) The arithmetic sequence of bouncing balls is given by the following;

Sₙ=h₀+2h₀(r¹+r²+r³+r⁴.........rⁿ)

The first term of the sequence is;

S₁ = h₀ + 2h₀r¹

S₁ = 30 + (2 × 30 × 0.25)

S₁ = 45

The second term of the sequence is;

S₂ = h₀ + 2h₀(r¹+r²)

S₂ = 30 + (2 × 30 × (0.25 + 0.25²)) = 48.75

The third term of the sequence is;

S₃ = h₀ + 2h₀(r¹ + r² + r³) = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³)) = 49.6875

S₄ = h₀ + 2h₀(r¹ + r² + r³ + r⁴)

S₄ = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³ + 0.25⁴)) = 49.921875

B) The general expression for the nth term of the sequence is;

Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

4 0
3 years ago
if a square + b square + c square minus ab minus bc minus ca equals to zero, prove that A equals to B equal to C
lawyer [7]
A^2 + b^2 + c^2  - ab - bc - ca = 0
a.a + b.b + c.c = a.b + b.c + c.a

equating  term by term:- 
a = b
b = c 
c = a

Therefore a = b = c 
8 0
3 years ago
A bulb is rated at 330V- 110W. What do you think is its resistance? Three
ololo11 [35]

Answer:

330

Step-by-step explanation:

-$737737373hhhehehwywuuuwu

5 0
2 years ago
Find the sum of 1,503 and 847 and 4,219
iris [78.8K]

1,503 + 847 + 4,219 = 6,569

3 0
2 years ago
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