Answer:
1.) 1 1/14
2.) 1/5
3.) 1/15
4.) 1
(They are all simplified)
Step-by-step explanation:
Answer:
(x + 5)² + (y + 7)² = 288
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
The radius is the distance from the centre (- 5, - 7) to the point on the circle (7, 5)
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 5, - 7) and (x₂, y₂ ) = (7, 5)
r =
=
= 
Hence
(x - (- 5))² + (y - (- 7))² = (
)², that is
(x + 5)² + (y + 7)² = 288
Answer
Find out the measure, in degrees, of angle ABC .
To prove
The relationship between inscribed angles and their arcs
The measure of an inscribed angle is half the measure the intercepted arc.
The formula is

As given in the diagram
The measure of the intercepted arc A to B is 120°.
Put value in the formula

∠ABC = 60°
Therefore the measure of the ∠ABC is 60° .
Answer:
"To the nearest year, it would be about 9 years"
Step-by-step explanation:
11c)
This is compound growth problem. It goes by the formula:

Where
F is the future amount
P is the present (initial) amount
r is the rate of growth, in decimal
t is the time in years
Given,
P = 20,000
r = 8% = 8/100 = 0.08
F = double of initial amount = 2 * 20,000 = 40,000
We need to find t:

To solve exponentials, we can take Natural Log (Ln) of both sides:

Using the rule shown below we can simplify and solve:

We can write:

To the nearest year, that would be about 9 years
Answer:
y intercept is (0 , 2.5)
x intercept is (3.5 , 0)
Step-by-step explanation:
Khan Academy is fun !!!!!!!!!!
y- intercept is where the line meets the y line l
x- intercept is where the line meets the x line ____
The y-intercept is 2.5
The x-intercept is 3.5