Answer:The answer is B
Step-by-step explanation:
first find te height:
1.5/2=0.75 (this will be your "b" of the pythagorean theorem for finding the height)
now do the pythagorean theorem:
a^2+0.75^2=3^2
(height)= 2.905
A= a^2+2a√((a^2/4)+h^2)
a (base edge)= 1.5
h (height)= 2.905
Calculate and you get B as your answer.
Hope this elpsand you get this right!
Answer: y= - 4x+18
Step-by-step explanation:
Equation: y=mx+b
***remember: b is the y-intercept and m is the slope.
m=
3= x1
2= x2
6= y1
10=y2
m=
=
= -4
m=-4
Now we have y=-4x+b , so let's find b.
You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:
(3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.
(2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.
Equation of the line: y=-4x+18
The answers would be (0,10) , (20,0) , and (100,100)
Answer:
Step-by-step explanation:
Let
be the greater number and
be the smaller number. We know that their difference is 15, so we have

Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have

So, we have the follwing system:

From the first equation, we can derive
, and substitute this expression in the second equation to get

Substitute this value for y in the first equation to get

Exponential:
It is called the exponential function of base a, to that whose generic form is f (x) = a ^ x, being a positive number other than 1.
Every exponential function of the form f (x) = a^x, complies with the followingProperties:
1. The function applied to the zero value is always equal to 1: f (0) = a ^ 0 = 1
2. The exponential function of 1 is always equal to the base: f (1) = a ^ 1 = a.
3. The exponential function of a sum of values is equal to the product of the application of said function on each value separately.
f (m + n) = a ^ (m + n) = a ^ m · a ^ n
= f (m) · f (n).
4. The exponential function of a subtraction is equal to the quotient of its application to the minuend divided by the application to the subtrahend:
f (p - q) = a ^ (p - q) = a ^ p / a ^ q
Logarithm:
In the loga (b), a is called the base of the logarithm and b is called an argument, with a and b positive.
Therefore, the definition of logarithm is:
loga b = n ---> a ^ n = b (a> 0, b> 0)