(x-h)²+(y-k)²=r² is the equation of a circle with radius of r
so if x-h=4 and y-k=3 then
4²+3²=r²
16+9=r²
25=r²
sqrt both sides
5=r
radius is 5 units
The third one because each banner costs $16 and x is the number of banners, $32 is just a one time fee so there is no x.
Answer:
180°
Step-by-step explanation:
Angles that are called straight angles make up a straight line.
A straight line measures 180°.
So, angles on a straight line make up 180°.
Hope this helps.
Answer:
none
Step-by-step explanation:
We have three sides
Adding the two smallest sides together must be bigger than the third side
3.1+5.2 > 9.8
8.3> 9.8
This is false, so we cannot make a triangle
Answer:
Step-by-step explanation:
x² + 9x + 18 = x² + 6x + 3x + 18
= x(x + 6) + 3(x + 6)
= (x + 3)(x + 6)
x² + 16x + 63 = x² + 9x + 7x + 63
= x(x + 9) + 7( x+ 9)
= (x + 7)(x + 9)
y² + 13y + 36 = y²+ 9y + 4y + 36
= y(y + 9) + 4(y + 9)
= (y + 4)(y + 9)
(a). Factored form of the expression (y² + 13y + 36) is (y + 4)(y + 9).
Therefore, Lyndsey's answer is wrong.
(b). Factors are (y + 4) and (y + 9).
(c). Factored form of the expression should be (y + 4)(y + 9) instead of Lindsey's answer (y + 6)(y + 6).