Answer:
a and b are positive
Step-by-step explanation:
We are given that


We have to find that a and b are positive or negative.
We have

It means b is positive and greater than 4.

Adding 3 on both sides



Hence, a is positive and greater than 4.
Therefore, a and b are positive
Answer:

Step-by-step explanation:
<u><em>The complete question is</em></u>
RT and GJ are chords that intersect at point H. If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ? 18 units 20 units 26 units 28 units
we know that
The <u><em>intersecting chords theorem</em></u> is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal
so
In this problem

substitute the given values

solve for HJ

Answer:
(x + 39) or x = -39
Step-by-step explanation:
Set f(x) to 0
0 = 5x + 195
5x = -195
x = -39
Answer:
C
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ - 10, 10 ], thus
f(b) = f(10) = 10² + 9(10) + 18 = 100 + 90 + 18 = 208
f(a) = f(- 10) = (- 10)² + 9(- 10) + 18 = 100 - 90 + 18 = 28, thus
average rate of change =
=
= 9
You're dividing where you need to multiply. The intersecting chord theorem says
5(12)=7.5 x
x = 5(12)/7.5 = 8
Choice F