Answer:
t = 
Step-by-step explanation:
Given
D = M + Mrt ( subtract M from both sides )
D - M = Mrt ( divide both sides by Mr )
= t
Answer: y = 4x + 11
Step-by-step explanation:First, you put the equation into the standard “slope/intercept” form.
4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :
y = 4x - 2
In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.
y = 4x - a (generic)
ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.
We find this by putting our point value into the equation:
3 = 4(-2) + a ; 3 = -8 + a ; a = 11
Thus, our “parallel line equation” through the point (-2,3) is:
y = 4x + 11
Answer:
sin0 = -12
Step-by-step explanation:
tan0 = sin/cos
12/5 = sin / -15/3
sin = tan0 x cos0 = 12/5 x -15/3 = -12
Answer:
B. 12:240
Step-by-step explanation:
- 9:180
⇒ 1:20
Optiona (A) 5 : 200 it is not multiple of 1:20, Eliminate.
Option (B) 12:240, it is multiple of 1:20 ( x 12) , quality
Option (C) 10:400 , Eliminate
Option (D) 8:560 , Eliminate
Hence, 12:240 is equivalent to 9:180.
Answer:
D) 21!
Step-by-step explanation:
So what we are dealing with here is some fractions that need to be made equal
Think about the fractions 1/2 and 2/4. They look different, right?
Well really, they are equal to another. All we need to do is simplify them!
If we divide the numerator and denominator (the top and bottom) of the fraction by, lets say, 2!
2 / 2 = 1
- -
4 / 2 = 2
And viola! It's been simplified down, and now we can see they are alike!
2 pieces of a pie cut in 4 pieces is the same as 1 piece of a pie cut in half!
(pro-tip, always try dividing a fraction by 2 first)
So now, using the same principal, we can solve this problem
By taking the denominators and dividing them like this:
35 / 5 = 7
We get 7! Now since we need to make these fractions equal, lets multiply the 7 we just got by the numerator of the second fraction, 3
7 x 3 = 21
So if we put the 21 over the 35, we get 21/35!
Thus, our answer is 21!
