Answer:
D
Step-by-step explanation:
These two triangles are similar triangles. The two angles marked are the same and the two angles at the intersection where you see the square are also the same, making it clear that the last angle must be the same as well.
Therefore,
length 8 from the top triangle is similar to length 6 on the bottom triangle,
length 10 from the top is similar to b on the bottom triangle,
length 6 from the top is similar to a on the bottom.
To find the ratio of similarity, you would compare the length 8 to length 6, and divide them. 8/6 = 1.33333
Now that you've found the proportionality constant, you divide the other two lengths on the top triangle with the constant to get <em>b </em> and <em>a</em>.
b = 10/1.3333 = 7.5
a = 6/1.3333 = 4.5
Therefore, the answer is D: a = 9/2, b = 15/2.
A function notation is expressed as f(x) = ax^b + cx^d + ..... where f(x) is equal to y, In this case, to r<span>ewrite 3x + 4y = 10 using function notation, we rearrange the statement and express in terms of x only. Hence
4y = 10 - 3x
y = (10 - 3x) /4 = f(x)
f(x) = 2.5 - 0.75x</span>
Answer:
Step-by-step explanation:
We are solving for 
in the equation:
First, isolate the variable term by subtracting 
from both sides of the equation:
Now, divide both sides of the equation by the coefficient of :
This solution for , as a decimal, would be non-terminating. If you divided 
into 
, you would get the non-terminating decimal of:
Therefore, our solution is:
-
We can check our solution by substituting 
for in the initial equation:
Substitute:
Simplify 
:
Add:
Since both sides of the equation are equal, our solution is correct!
HELLO the answer is 33!!!
