Answer:
Radius, r = 61 cm
Step-by-step explanation:
According to the attached figure, we have,
Length of chord, AB = 22 cm
Such that, AP = PB = 11 cm
OP = 60 cm
It is required to find the radius of the circle. We know that radius of a circle is perpendicular to chord. So, APO forms a right angled triangle. Using Pythagoras theorem to find the radius of circle. Let it is r. So,
So, the radius of the circle is 61 cm.
No, while the difference represents the absolute magnitude of two numbers . . . for example . . .
The difference between 5 and 2 is . . . 3
The difference between 6.4 and 9.5 is . . . 3.1
. . . there is still the chance that the difference may be zero . . . in which case the difference is neither positive nor negative
. . . so in short . . . the answer is . . . <span>NO</span>
Answer:
y = 6x + 4
Step-by-step explanation:
We know the equation is linear. First, use two points to find the slope of the line.
m = (y₂ − y₁) / (x₂ − x₁)
m = (10 − 4) / (1 − 0)
m = 6
The y-intercept is 4. So the equation of the line is:
y = mx + b
y = 6x + 4
Answer:
Step-by-step explanation:
Yikes. This is quite a doozy, so pay attention. We will begin by factoring by grouping. Group the first 2 terms together into a set of parenthesis, and likewise with the last 2 terms:
and factor out what's common in each set of parenthesis:
. Now you can what's common is the (d + 3), so factor that out now:
BUT in that second set of parenthesis, we can still find things common in both terms, so we continue to factor that set of parenthesis, carrying with us the (d + 3):
BUT that second set of parenthesis is the difference of perfect squares, so we continue factoring, carrying with us all the other stuff we have already factored:
. That's completely factored, but it's not completely simplified. Notice we have 2 terms that are identical: (d + 3):
is the completely factored and simplified answer, choice 3)
