Answer:
Therefore,
Since , ABCD has four <u> Right </u> angles and four <u> Congruent </u> sides, it is a Square
Step-by-step explanation:
The four points for the Figure are
point A( x₁ , y₁) ≡ ( 0 , 6)
point B( x₂ , y₂) ≡ (6 , 6)
point C(x₃ , y₃ ) ≡ (6 , 0)
point D(x₄ , y₄ ) ≡ (0 , 0)
∠A = ∠B = ∠C = ∠D = 90°
To Prove:
ABCD is a Square
Proof:
∠A = ∠B = ∠C = ∠D = 90° .........Given:
Now By Distance Formula we have
Substituting we get
Similarly for BC ,CD ,DA we have
Therefore,
Since , ABCD has four <u> Right </u> angles and four <u> Congruent </u> sides, it is a Square
Answer:
Step-by-step explanation:
To get maximum product we need to optimize how we break down the numbers
Its obvious we don't want number 1 to be used as it won't change the product
Also we don't want to use big numbers, we can have four 5's instead of two 10's as it would give greater product, 5*5 > 10
<u>What is best number?</u>
- 2 and 3 are the smallest, 4 can be written as two 2's
- 5 = 2+ 3 and 2*3 = 6, so it is better to use 2's and 3's instead of 5
- 6 = 2+2+2, 2^3 = 8 and 6 = 3+ 3, 3^2 = 9, so it is better to use two 3's for 6
- 7 = 2+2+3, 2*2*3= 12, again 2's and 3's make greater product
<u>So the best is to break the number down to 2's and 3's</u>
- 23 = 2*10 + 3 ⇒ 2^10*3 = 3072
- 23 = 3*7 + 2 ⇒ 3^7*2 = 4374
As we see the maximum product we can get is 4374 with seven 3's and one 2.
<u>Hence the numbers are:</u>
<span>A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 10, 20, 30, 40, and 50. Points are shown on ordered pairs 0, 0 and 2, 10 and 4, 20 and 6, 30 and 8, 40. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.</span>
Answer:
3 : 3, 6 ,9, 12, 15, 18,21, 24, 27, 30, 33 ,36 ,39,
4: 4, 8, 12 ,16, 20, 24, 28, 32 ,36 ,40
Common Multiples of 3 AND 4: 12, 24, 36
Step-by-step explanation:
Find the common multiples of 3
Find the common multiples of 4
Check different multiples that are the same.