Answer:
YES
Step-by-step explanation:
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers
- 23 and 100 are both integers
- 23 / 100 = 0.23 which is not a continious decimal
The values of the letters in coordinates (a, b) and (c,d) are;
<u><em>a = -4</em></u>
<u><em>b = -6</em></u>
<u><em>c = 2</em></u>
<u><em>d = 6</em></u>
<u><em /></u>
We are given two equations;
-6x + 3y = 6 ---(eq 1)
x² + y = 10 ---(eq 2)
- We are told that they intersect at coordinates; (a, b) and (c, d).
Let us make y the subject in eq 2 to get;
y = 10 - x² --(eq 3)
- Let us put 10 - x² into eq 1 to get;
-6x + 3(10 - x²) = 6
expanding further gives;
-6x + 30 - 3x² = 6
rearranging gives;
3x² + 6x - 24 = 0
Using online quadratic equation <em>solver</em>, we have;
x = -4 and x = 2
Putting x = -4 into eq 3 gives;
y = 10 - (-4)²
y = 10 - 16
y = -6
Putting x = 2 into eq 3 gives;
y = 10 - (2)²
y = 10 - 4
y = 6
- Thus, the coordinates are; (-4, -6) and (2, 6)
Comparing with (a, b) and (c,d), we have;
a = -4
b = -6
c = 2
d = 6
Read more at; brainly.com/question/15165519
Answer:
1. 106 steps more than Beth.
Answer:
K = -2J + 24
Step-by-step explanation:
Find two point of the line
(12,0) ; (10,4)
Use this equation:
(y-y1)/(y2-y1) = (x-x1)/(x2-x1)
(y-0)/(4-0) = (x-12)/(10-12)
y/4 = (x-12)/(-2)
y/4 = (-x+12)/2
y = -2x + 24
