Answer:
Step-by-step explanation:
256 = 16×16=4×4×4×4 = 4^4
X^4-4^4 = (x^2)^2 - (4^2)^2
Using algebraic identity a^2-b^2 = (a+b)(a-b)
We get (x^2+4^2)(x^2-4^2)
(x^2+4^2)(x+2)(x-2)
Answer:
x = -2; y = 3
Step-by-step explanation:
5x + 4y = 2 (1)
3x + 3y = 3 (2)
Multiply (1) by 3 and (2) by 4
15x + 12y = 6 (3)
12x + 12y = 12 (4)
Subtract (4) from (3)
15x - 12x = 6 - 12
3x = -6
x = -6/3
x = -2
Substitute x = -2 into (1)
5x + 4y = 2
5(-2) + 4y = 2
-10 + 4y = 2
4y = 2 +10
4y = 12
y = 12/4
y = 3
The first error is when he multiplied equation (2) by 4
He didn't multiply the right hand side of the equation by 4
3x + 3y = 3 ×4
12x + 12y = 12
But he wrote
12x + 12y = 3
The the next error is subtracting the left hand side of the equation and adding the right hand side
15x + 12y = 6
12x + 12y = 3
He wrote
3x = 9
Instead of 3x = 3
The top and bottom length are 9 and 9 right? so multiply 9x2 which is 18cm. then to find the missing length, you already know that the length to your right is 6cm. and so will the one on your left will be 6cm, so multiply 6x2 and you get 12cm. add 18cm and 12cm and you get the answer 30cm. perimeter=30cm.
Answer:
largest: 7/3 smallest: 3/7
Step-by-step explanation:
the answer kinda explains the question on its own, but all it really is, is put largest on the smallest, or put the smallest an the largest.
Hello! So, the jeans are 20% off of the original price. While she gets 20% off of the jeans, she still has to pay 80% of the price. To find out the discount price, multiply 38 by 80% (0.8). 38 * 0.8 is 30.4 $30.40 is the discount price. There is 5% tax on the item. First off, let's add 1 to the rate. 5% is 0.05 in decimal form. 1 + 0.05 is 1.05. We add 1 to the percentage rate, because adding that and multiplying that amount will bring us straight to the new price. Now, multiply 30.4 and 1.05 together to get the new price. When you do, you get 31.92. $31.92 is the price of the jeans. 31.92 < 32.50. Jackie has enough money to buy the jeans.