Answer:
12
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 9)² + (y - 4)² = 36 ← is in standard form
with r² = 36 ⇒ r = 
= 6
diameter = 2 × r = 2 × 6 = 12
Answer:
O = 41 degrees
Step-by-step explanation:
the sum of all angles in a triangle is always 180 degrees.
the graphic shows that this triangle has 2 equal sides. that means that both angles at O and at M are equal.
so, we know all three angles and can calculate
7y + 2×(4y - 15) = 180
7y + 8y - 30 = 180
15y = 210
y = 14
so, the angle at O is
O = 4×14 -15 = 56 - 15 = 41 degrees
Answer:
4500
Step-by-step explanation:
Answer:
No, 5 + 3(1 - x) is NOT equivalent to 8 - 8x.
Step-by-step explanation:
To see if they are equivalent to each other, we first need to simplify the first expression:
5 + 3(1 - x)
Distribute the 3 into the parenthesis:
5 + 3 -3x
Combine like terms:
8 - 3x
No, 5 + 3(1 - x) is NOT equivalent to 8 - 8x.
Jenna's age Jessica's age
today x x + 5
in 5 years x+5
5 years ago x + 5 - 5
Equality x + 5 = x + 5 - 5
=> x + 5 = x
The equation is x + 5 = x
That equation has not any solution, because it reduces to 5 = 0, which is an absurd.
So, the conclusion is that information given by Jenna is wrong.
It is logical: if the difference of the ages is 5, in five years Jenna will have 10 years more than what her sister had 5 years ago, no 5 as she told Jessica.
