Answer:
division properties allow transformations to be used as problem-solving tools.
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
When you rearrange the equation it would be y=-5x^2-4, and since it is a 2nd degree we can easily say it is a quadratic function.
There was 45 markers originally in each box.
How do we know?
Well, 3*x = 15*3 + 90 = 45 + 90 = 135
Divide both of the sides by 3
X = 135/3 = 45
Therefore, that’s how we know that there was 45 markers originally.
Answer:
AB = 32
Step-by-step explanation:
Given:
AD = 40
CD = 9
Required:
Find the length of segment AB
Solution:
BC and CD are radius of the circle. Therefore,
BC = CD = 9
AB = AC - BC
AB = AC - 9
We need to find AC
Since AD is tangent, CD is perpendicular to AD, this means that <D is a right angle. This makes ∆ADC a right triangle.
Therefore, we can apply Pythagorean theorem to find AC.
Thus:
AC² = AD² + CD²
AC² = 40² + 9²
AC² = 1,681
AC = √1,681
AC = 41
Let's find BC:
AB = AC - 9
Plug in the value of AC
AB = 41 - 9
AB = 32