Answer:
20 years is the brother
Step-by-step explanation:
quick maths
The soluition set is (-3,5) and a normal ordered pair reads (x,y). So that means 5 = [_]x-10
-Add 10 to both sides
15 = [_]x
-And we know the value of x so lets sub that in.
15 = [_](-3)
-And now we divide by -3
-5 = [_]
Next we have 3x-[_]y=-19
-Lets start this buy substituting values of x and y into the equation again.
3(-3)-[_](5)=-19
-Simplify
-9 - [_](5) = -19
-Move the (-9) by adding 9 to both sides
-[_](5) = -10
-divide by 5 = -2
-(1)[_] = -2
[_] = 2
Use this property of logarithms:
Your equation transforms into:
Now, you have to apply the definition of a logarithm to express the equation in exponential form:
In case you don't remember, this is the definition of a logarithm:
The log is the exponent (y) you have to raise the base (b) to in order to get the power (x).
Finally, solve the rational equation:
The correct answer is d.
<span>-4(5x6)
=</span><span>-4(30)
= - 120</span>
Answer:
A: the proposed route is 3.09 miles, so exceeds the city's limit
Step-by-step explanation:
The length of the route in grid squares can be found using the Pythagorean theorem on the two parts of the route. Let 'a' represent the length of the route to the park from the start, and 'b' represent the route length from the park to the finish. Then we have (in grid squares) ...
a^2 = (12-6)^2 +3^2 = 45
a = √45 = 3√5
and
b^2 = (6 -2)^2 +4^2 = 32
b = √32 = 4√2
Then the total length, in grid squares, is ...
3√5 + 4√2 = 6.7082 +5.6569 = 12.3651
If each grid square is 1/4 mile, then 12.3651 grid squares is about ...
(12.3651 squares) · (1/4 mile/square) = 3.0913 miles
The proposed route is too long by 0.09 miles.