That would be C.
20x + 5y = 50
5y = - 20x + 50
y = -20/5x + 50/5
y = - 4x + 10
now in y = mx + b form. the m represents ur slope and the b represents ur y intercept. So here, u have a slope of -4 and a y intercept of 10.
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:
X=10
Step-by-step explanation:
1. Subtract 10 from both sides
2. Simplify
3. Divide both sides by the same factor
4. Simplify
Answer:
$68÷8= x money per hour
Step-by-step explanation:
Option is B) y-3x=0 represents a proportional relationship between the x and y values
Explanation:
Case 1 = y+4=3x
From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 4 .
Case 2: y-3x=0
From the above equation we can see that if we change the value of x, the value of y changes by proportionality.
Hence the correct option is B.
Case 3 = y+5x=6
From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 6.
Case 4 = y+1/4×x=2
From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 2.
