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:
10
Step-by-step explanation:
523=4/3 pi r^3
124.86=r^3
5=r
d=2r
d=10
12x - 56 = y. Hope it helps! :) If you could vote my answer as the brainiest, that would be awesome! :)
Answer:
A.
Step-by-step explanation:
The volume of the pyramid on the left is greater by 2 inches cubed.
hope this helps! :3
Answer:
5. A.
6. F
Step-by-step explanation:
5. Perpendicular lines have slopes that are negative reciprocals of one another, so slope is 3
y = 3x + b
using coordinates (-6,3)
3 = 3(-6) + b
b = 21
y = 3x + 21
6. I think F is the right answer
