The shadow to the top of the tree is 60 ft it all makes sense
17.5x12=210
210 divided by 14=15
15x2.50=37.5
37.5
17.5 is feet so you need to divide by 12 for inches which gets 210 and you need each necklace to be 14 inches so you need to divide 210 by 14 which is 15 each necklace costs 2.50 so you multiply 2.50x15
You get 37.5
Answer:
Center: (-5,10)
Radius: 2
Step-by-step explanation:
The equation of the circle in center-radius form is:
Where the point (h,k) is the center of the circle and "r" is the radius.
Subtract 121 from both sides of the equation:
Add 10x to both sides:
Make two groups for variable "x" and variable "y":
Complete the square:
Add 
inside the parentheses of "x".
Add 
inside the parentheses of "y".
Add 
and 
to the right side of the equation.
Then:
Rewriting, you get that the equation of the circle in center-radius form is:
You can observe that the radius of the circle is:
And the center is:
Answer:
X:1 2 3 4 5 Y:7 11 15 19 23.
Step-by-step explanation:
We just need to put in the values of x into the equation: y = 4x + 3.
<u>x = 1: </u>
y = 4(1) + 3
= 4 + 3
y = 7
<u>x = 2: </u>
y = 4(2) + 3
= 8 + 3
y = 11
<u>x = 3:</u>
y = 4(3) + 3
= 12 + 3
y = 15
<u>x = 4:</u>
y = 4(4) + 3
= 16 + 3
y = 19
<u>x = 5:</u>
y = 4(5) + 3
= 20 + 3
y = 23
Answer:
(x+9)(x+4)
Step-by-step explanation:
We wish to factor x²+13x+36 into the form of (x+p)(x+q) where p+q=13 and pq=36.
Factors of 36: 1, 2, 3, 4, 6, 9, 12. 18, 36
Notice that 9+4=13 as 9*4=36, which satisfies the values of p and q
This means x²+13x+36 can be factored into (x+9)(x+4)
