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:
Step-by-step explanation:
sin(32°) = b/340
b = 340sin(32°) ≅ 180 inches
70.24, That should be right
ekshzhsusjsnskwl
Answer:
a line
Step-by-step explanation:
In geometry, we can define a line as a straight one- dimensional figure without thickness but extends infinitely in both directions.
If we are to put it into more understandable words, we can describe a line as the shortest distance between any two points.
A line has a specific definition in geometry. Every other option listed do not have specific definition in geometry.
2/3 of 30 9/10 = (30*10 + 9)/10 = 309/10 kilograms of glass is blue or there are:
(2/3)(309/10) = (2*309)/(3*10) = (2*103)/10 = 206/10 = 10.6 kg of blue glass.
