Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be parallel, they need to have the same slope.
y - 3x = 2 Add 3x on both sides to change the equation to slope-intercept form
y - 3x + 3x = 2 + 3x
y = 3x + 2 The slope is 3, so the parallel line's slope is also 3.
Now that you know the slope, substitute/plug it into the equation
y = mx + b
y = 3x + b To find "b", plug in the point (6, 1) into the equation, then isolate/get the variable "b" by itself
1 = 3(6) + b
1 = 18 + b Subtract 18 on both sides to get "b" by itself
1 - 18 = 18 - 18 + b
-17 = b
y = 3x - 17 Your answer is the 1st option
5.
f(K) = D^3 => f(25) = 125 => 25 * t = 125 ( because K is directly proportional with D^3 )=> t = 125 / 25 => t = 5 => f(25) = 25 * 5 => K * 5 = D^3 ;
6.
f(L) = F^3 => f(2) =3^3 =>f(2) = 27 => 2 / t =27 => t = 2 / 27 => t = 0.074 => f(2) = 2 / 0.074 => K / 0.074 = F^3 ;
Answer:
The length of BC would be 12.2 mm.
Step-by-step explanation:
Given,
In triangle ABC,
∠BAC = 90°,
Thus by the Pythagoras theorem,
We have,
AB = 9.6 mm and CA = 7.6 mm,
By substituting the values,
Step-by-step explanation:
9.75 dollars divided by 3 pounds equals 3.25 per pound
Answer:
Step-by-step explanation:
Explanation:
Since it is a right triangle and we are given the two shorter legs, the hypotenuse is found by
c
2
=
a
2
+
b
2
c
2
=
10
2
+
24
2
=
100
+
576
=
676
c
=
√
676
=
26