Answer:
<h2>Side YZ is 8 units long.</h2>
Step-by-step explanation:
We can deduct form the graph that segment WO is a radius of the circle and XY is its diameters.
By given, we know that 
, which means 
, by radius definition.
An important characteristic of tangents about circles is that the tangent is always is perpendicular to the radius, that means 
and 
is a right triangle, that means we can use Pythagorean's Theorem to find the side YZ.
Where 
is the hypothenuse and 
, 
are legs of the triangle.
Replacing all given values, we have
However, by sum of segments, we have
, where 
and 
Therefore, side YZ is 8 units long.
The sign of f on the interval -7/3 < x < -3/5 is always positive.
<h3>How to solve for the sign on the interval</h3>
We have the equation
(5x+3)(x−2)(3x+7)(x+5) > 0
Now when f(x) > 0
Then -7/3 < x < -3/5
This would tell us that the sign would become positive when it changes from the less than to greater than sign
<h3>Complete Question</h3>
f(x)=(5x+3)(x-2)(3x+7)(x+5) has zeros at x=-5, x=-7/3, x=-3/5, and x=2
What is the sign of f on the interval -7/3<x<-3/5?
answer choices
f is always positive on the interval
f is always negative on the interval
f is sometimes positive and sometimes negative on the interval
f is never positive or negative on the interval
Read more on polynomials here:
brainly.com/question/2833285
#SPJ1
Answer:
why do you need help if it gives you the value?
Step-by-step explanation:
Answer:
B) 25°
Step-by-step explanation:
Assuming the quadrilateral is the one shown in the picture attached, then a triangle ADC is form, where m∠ADC = 125° and m∠1 = 30°. The addition of the three angles of a triangle is equal to 180°, so:
m∠ADC + m∠1 + m∠2 = 180°
Replacing with the known values and isolating m∠2 we get:
125° + 30° + m∠2 = 180°
m∠2 = 180° - 125° - 30°
m∠2 = 25°
Answer: No solutions
Step-by-step explanation:
|x|+5<1
Subtract 5 from both sides.
|x| < -4
No solutions is possible
