The volume of the prism is calculated by multiplying the length, L, width,W, and depth or height, H.
V = L x W x H
Fish tank:
V = 50 cm x 25 cm x 25 cm
= 31250 cm³
Depth of the water in tank (with castle - without castle)
d = 57.5 cm - 48 cm = 9.5 cm
Volume of the caste:
V = 9.5 cm x 50 cm x 25 cm = 11875 cm³
No, 9,156 divisible by 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327 , 436, 654 , 763, 1308, 1526, 2289, 3052, 4578, and 9156
Answer: infinitely many solutions
Step-by-step explanation: 6y = -3x + 30 rewrites to 3x + 6y = 30
1. align equations x + 2y = 10
3x + 6y = 30
2. multiply first equation by -3 to get -3x - 6y = -30
3. align equations -3x - 6y = -30
3x + 6y = 30
4. add the equations and you they cancel out, which means infinitely many solutions
<span>a2 – b2 = (a + b)(a – b) or (a – b)(a + b).
This is the 'Difference of Squares' formula we can use to factor the expression.
In order to use the </span><span>'Difference of Squares' formula to factor a binomial, the binomial must contain two perfect squares that are separated by a subtraction symbol.
</span><span>x^2 - 4 fits this, because x^2 and 4 are both perfect squares, and they are separated by a subtraction symbol.
All you do here to factor, is take the square root of each term.
√x^2 = x
√4 = 2
Now that we have our square roots, x and 2, we substitute these numbers into the form (a + b)(a - b).
</span>
<span>(a + b)(a - b)
(x + 2)(x - 2)
Our answer is final </span><span>(x + 2)(x - 2), which can also be written as (x - 2)(x + 2), it doesn't make a difference which order you put it in.
Anyway, Hope this helps!!
Let me know if you need help understanding anything and I'll try to explain as best I can.</span>
1.) y-7=4(x+3)
2.) y+7=(x-1)
3.) y-3=6(x+8)
