63 <= 7y
To solve for y just divide both sides by 7:
Y <= 63/7
Y <= 9
Because 63 is less than , you need to reverse the inequality sign.
The answer becomes y >=9
Now when you replace y with a number from 9 or higher the inequality will be true.
Answer:
(2p+9)^2
Step-by-step explanation:
We know this is a perfect square trinomial
a^2 +2ab +b^2 = (a+b)^2
a = 2p b = 9
a^2 = 4p^2
2ab = 2*2p*9 = 36p
b^2 = 81
Check
4p^2 +36p+81 = (2p+9)^2
Answer:
46,189
Step-by-step explanation:
The prime numbers that are less than 20 are :
1,2,3,5,7,11,13,17,19
to get the greatest value, we multiply the four numbers with the largest values i.e
11 x 13 x 17 x 19 = 46,189
<span><span><span>(<span>−<span>320x</span></span>)</span><span>(7)</span></span>16</span><span>=<span>−<span>140
The answer is -140
Hope this helps!
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Answer:
Step-by-step explanation:
In order to solve for this equation we have to note a couple of things.
There is a diagonal square inside a larger square. The space formed by the smaller square not being in the larger square is a right triangle.
The side length of the smaller square (4) is also the hypotenuse of this triangle.
Since we know that the other side length of the triangle is 3, we can use the Pythagorean Theorem to find the value of b.
The Pythagorean Theorem states that 
, where a and b are the legs and c is the hypotenuse.
We can substitute 3 in as a and 4 in as c and find b.
So b is 
units long.
Hope this helped!
