Answer:
Choice A
Step-by-step explanation:
There should be an open circle at 0 since there is no equals in the inequality
n is greater than zero so the line goes to the right.
Choice A
9514 1404 393
Answer:
A: (3x +4)
B: (4x +5y) × (4x -5y)
Step-by-step explanation:
<u>Part A</u>:
Since we know the trinomial is a perfect square, we know the terms of each binomial factor are the square roots of the first and last terms of the trinomial.
9x² +24x +16 = (√(9x²) +√16)² = (3x +4)²
The side of the square is 3x+4.
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<u>Part B</u>:
The difference of squares is factored like this:
a²-b² = (a +b)(a -b)
The given area expression is the difference of squares with ...
a = 4x, b = 5y
so, the factorization is ...
16x² -25y² = (4x +5y)(4x -5y)
The dimensions of the rectangle are (4x+5y) by (4x-5y).
Answer: 12<5x+4
Step-by-step explanation:
Answer:

Step-by-step explanation:
To solve this problem you must know the formula of subtraction of angles for the function cosx.
The formula is:

We can write 30° as: 45° - 15°
Then:

Using the formula for subtraction of angles we have:

Notice that we have achieved the expression shown in the statement
Finally:

Let S be the first side.
Longest side is then 2S.
Third side is 2S-10.
Perimeter is sum of all three sides = S+2S+2S-10 = 75
=>
5S-10=75
5S=75+10=85
S=17
Therefore
S=17 is the first side.
Longest side is then 2S=2*17=34.
Third side is 2S-10=2*17-10=24.