I'm assuming you are finding the equation of the line of Line J
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 perpendicular, the slopes have to be negative reciprocals of each other. (basically changing the sign (+/-) and flipping the fraction/switching the numerator and the denominator)
For example:
slope = 2 or 
Perpendicular line's slope = 
[changed sign from + to -, and flipped the fraction]
slope = 
Perpendicular line's slope = 
[changed sign from - to +, and flipped the fraction]
Since you know the slope is 3, the perpendicular line's slope is 
. Plug this into the equation
y = mx + b
To find b, plug in the point (3, 8)
8 = -1 + b Add 1 on both sides to get "b" by itself
8 + 1 = -1 + 1 + b
9 = b
Answer:
D. the graph of g(x) is shifted 3 united left and 4 units up.
Step-by-step explanation:
When a change is made inside the parenthesis to the input, the function shifts left and right. Addition shifts it left while subtraction shifts it to the right. Here it is translated three units to the left. Adding or subtracting a number outside the parenthesis will slide the function up and down. Here it is shifted 4 units up.
Example: f(x) = x 
f(3) = 3 x+3 = 3
x+3-3 = 3-3
x=0 and f(0) = 0
So f(0) +4 = 0+4 =4
<u><em>The total number of red counters that are in the box is; 728 red counters</em></u>
- We are told that the box contains 1079 counters.
Let the number of white counters be x.
Let the number of red counters be y.
Let the number of black counters be z.
Thus;
z:x = 2:7
Thus; 2x/7 = z
Also, we are given;
x:y = 3:8
Thus;
8x/3 = y
- Since total number in the box is 1079,then;
x + y + z = 1079
x + (8x/3) + (2x/7) = 1079
Multiply through by 21 to get;
21x + 56x + 6x = 22659
83x = 22659
x = 22659/83
x = 273
2x/7 = z
Thus; z = 2 × 273/7
z = 78
8x/3 = y
y = 8 × 273/3
y = 728
273 white counters
728 red counters
78 black counters.
Read more at; brainly.com/question/11712611
Amount in the bank account = 1000(1 + 0.05)^5 = $1,276.28
Answer:
non-proportional
Step-by-step explanation:
when you make ratios for the ordered pairs, they are not equal to each other
7/1= 7
8/2= 4
9/3- 3
10/4=2.5
