Please equate 2x^2 -8x -90 to zero: <span>2x^2 -8x -90=0
Next, reduce </span>2x^2 -8x -90=0 by div. all terms by 2: x^2 -4x -45=0
Next, factor the poly: (x-9)(x+5) = 0
Set each factor = to 0 and solve for x:
x-9=0 => x=9
x+5=0 => x= -5
Answer:
Boy
Step-by-step explanation:
The ratio is 8:12, the ratio can be simplified to 2:3 and simply by looking at it, you have a chance of another boy, like a 3 in 2 chance
Answer:
Step-by-step explanation:
<u>Given quadratic function:</u>
<u>Points on the graph:</u>
- (-2,-35), (1,-5), (3,- 15)
<u>Substitute values of x and y and solve the system of equations:</u>
- -35 = a(-2)² + b(-2) + c ⇒ -35 = 4a - 2b + c ⇔ eq 1
- -5 = a(1)² + b(1) + c ⇒ -5 = a + b + c ⇔ eq 2
- -15 = a(3)² + b(3) + c ⇒ -15 = 9a + 3b + c ⇔ eq 3
<u>Subtract eq 2 from eq 1:</u>
- -35 - (-5) = 4a - 2b + c - a - b - c
- -30 = 3a - 3b
- b = a + 10 ⇔ eq 4
<u>Subtract eq 2 from eq 3:</u>
- -15 - (-5) = 9a + 3b + c - a - b - c
- -10 = 8a + 2b
- b = -4a - 5 ⇔ eq 5
<u>Compare eq 4 and eq 5, solve for a:</u>
- a + 10 = -4a - 5
- a + 4a = -5 - 10
- 5a = -15
- a = -3
<u>Find the value of b using eq 4:</u>
<u>Find the value of c using eq 2:</u>
- -5 = -3 + 7 + c
- c = -5 - 4
- c = -9
<u>We now have a, b and c:, the function is:</u>
Answer:
Step-by-step explanation:
hope this helps!
Well diameter will be the diagnol of that square..
let side of square be x, then diagonal will be root2 * x = diameter
so, raidus will be = dia/ 2
= (root2 * x ) /2
