Answer:
Step-by-step explanation:
y = -4x - 2
slope of line = -4
slope of perpendicular to line = ¼
Point-slope equation for line of slope ¼, passing through (4,-4):
y+4 = ¼(x-4)
In slope-intercept form:
y = ¼x - 5
Answer:
Step-by-step explanation:
The missing length is 13 because,
Lets say the top triangle is A and the bottom triangle is B.
Triangle A gives us the side GF, and Triangle B gives us the sides TU and ST. Since the triangles are similar(as stated in the problem), we can pair 2 sides GF(A) and TU(B) which is 11:22.(one way I usually figure which sides are similar is by first- matching the hypotenuse, then checking which of the remaining two is longer.. if that made any sense). You can see that their relationship is x2 or /2 (In another word, from A to B is multiplication- ex: 11 * 2 is 22, and from B to A is division- ex 22/2 is 11.) Since the missing number is the hypotenuse of triangle A and you know the Hypotenuse of triangle B all you have to do is divide side TS by 2 to get side SF. So the missing side is 13.
Answer: 13
7/12*6/14
7*6=42
12*14=168
=42/168
=0.25 =1/4
Answer:
s = 2q + 3
Step-by-step explanation:
A linear function has the form:
● y = mx + b
● y is the output of the function
● x is the variabke that we input
● b is the y-intetcept.
Focus on y and x.
Notice that y depends of the value of x. The value of y changes by changing x. So the value of x controls the output y.
y is dependent but x is not.
■■■■■■■■■■■■■■■■■■■■■■■■■■
● 6q = 3s - 9
We want q to be the independent variable wich means that q will be the input. Therefore s should be the output.
The strategy we are going to follow is separating s in one side alone.
● 6q = 3s - 9
Add 9 to both sides
● 6q + 9 = 3s -9 + 9
● 6q + 9 = 3s
Divide both sides by 3
● (6q + 9)/3 = (3s)/3
● (6q)/3 + 9/3 = s
● s = 2q + 3
So the answer is s = 2q + 3
