2.
3. The polynomial has 4 terms.
The degree of the polynomial is that of the largest sum of degrees of the variables in any term. That sum is 3+1=4 in the second term. The degree of this polynomial is 4.
4. f(g(x)) = g(x)² +1 = (2x-3)² +1
... f(g(x)) = 4x² -12x +10
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Of course, you're familiar with the square: (a+b)² = a² +2ab +b² so you have no problem finding the result when a=2x, b=-3.
Answer:
width is 8, length is 32
Step-by-step explanation:
* = multiply or times
Let the width be x, then the length would be 4x
Perimeter = 2*length+2*width
80 = 2*4x+2*x
80 = 8x+2x
80 = 10x
8 = x (width)
32 = 4x (length)
Hello from MrBillDoesMath!
Answer:
x = 27
Discussion:
Triangle DQC and DBR are similar by AAA so corresponding parts have the same ratio.
x /(x+18) = 39 /(39 + 26) =>
x/(x+18) = 39/65 => as 39 = 13*3 and 65 = 13 * 5
x/(x+18) = 3/5 => cross multiply both sides by x+18
x = (3/5)*(x+18) => multiply both sides by 5
5x = 3(x+18) =>
5x = 3x + 54 => subtract 3x from both sides
2x = 54 =>
x = 27
Thank you,
MrB
Try this option:
1. if centre of the circle is O(-3;1) and P(2;13), then OP=√(5²+12²)=13=r (radius);
2. in common view an equation of the circle is: (x-a)²+(y-b)²=r², where (a;b) is the centre.
Using this: (x+3)²+(y-1)²=13²