Answer:
y = - 
x + 2
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 )
y = 3x - 3 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - , hence
y = - x + c ← is the partial equation of the perpendicular line
To find c substitute (3, 1) into the partial equation
1 = - 1 + c ⇒ c = 1 + 1 = 2
y = - x + 2 ← equation of perpendicular line
1 1/9
To figure out how much walnuts to a pound of dried fruit you’d need to do proportions. So we cross multiply:
2/3 = X
—————- —————-
3/5 = 1
You multiply diagnols 2/3 x 1 = 2/3
3/5 times x is 3/5x.
2/3 = 3/5x. Isolate the variable. Divide 3/5 on both sides cancel out 3/5. 2/3 divide by 3/5 is 2/3 x 5/3 which is 10/9 which equals 1 1/9.
So for 1 lb of dried fruit you need 1 1/9 lb of walnuts to maintain the same mixture
Answer:
The degree of the remainder should be 4 for the division process to be stopped
Step-by-step explanation:
From the question, we have the degree of the divisor as 5
So, for the division process to be stopped, the degree of the remainder should be one less than the degree of the divisor
Once the degree of the remainder is less than the degree of the divisor, we have no option that to stop and not proceed further with the division
So in the case of the particular question, the degree of the remainder should be of degree 4
Given :
∠ABF = ( 7x + 20 )°
∠FBC=(2x - 5)°
∠ABC= 159°
To Find :
The value of x .
Solution :
Assuming B the center of a circle .
So , all three given angles must be added to 360° .
Therefore , the value of x is 20.67° .
Hence , this is the required solution .
Selection B is appropriate.
_____
The signs of the coefficients tell you the binomial factors must have both signs positive (selections B and C only). Selection B produces an x-term that is 15x+15x=30x (as we want); selection C produces an x-term that is 45x+5x=50x (not what we want).
