Answer:
8)y=2x-3
9)y= -1/2+4
Step-by-step explanation:
Answer:

Step-by-step explanation:
It is given that triangle AOC intersects a circle with center O, side AO is 10 inches and the diameter of the circle is 12 inches, thus
OC is the radius of the circle and is equal to
.
Now, From ΔAOC, using the Pythagoras theorem, we get

⇒
⇒
⇒
⇒
Answer:
18a^2
Step-by-step explanation:
Multiply the numbers together. Multiply the variables together.
(-3a)(-6a) = (-3) * (-6) * a * a = 18a^2
-3 times -6 = 18 since negative times negative is positive, and 3 * 6 = 18.
Also a * a = a^2.
Answer: 18a^2
Answer:
49% and 30% respectively
Step-by-step explanation:
Step one:
Given data
Principal = Rs. 4,200
Final Amount= Rs. 9282 respectively
time = 2 years and
time = 4 years
Required
The rate of interest for 2 and 4 years
Step two:
the compound interest formula is
A= P(1+r)^t
for 2 years
Substitute


the rate is 49%
For 4 years we have

![1+r= \sqrt[4]{\frac{9282}{4500} } \\\\1+r=\sqrt[4]{2.21} \\\\1+r= 1.30\\\\r=1.30-1\\\\r= 0.30\\\\](https://tex.z-dn.net/?f=1%2Br%3D%20%5Csqrt%5B4%5D%7B%5Cfrac%7B9282%7D%7B4500%7D%20%7D%20%5C%5C%5C%5C1%2Br%3D%5Csqrt%5B4%5D%7B2.21%7D%20%20%5C%5C%5C%5C1%2Br%3D%201.30%5C%5C%5C%5Cr%3D1.30-1%5C%5C%5C%5Cr%3D%200.30%5C%5C%5C%5C)
the rate is 30%
Answer:
y = -
x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (4, - 4) ← 2 points on the line
m =
= - 
Note the line crosses the y- axis at (0, - 3) ⇒ c = - 3
y = -
x - 3 ← equation of line